MU-NLPC/Calc-aqua_rat huggingface dataset:
Mr. and Mrs.Ghosh have some children. Seven of them don’t eat lettuce, five of them don’t eat banana and six of them don’t eat cabbage. Exactly two of them don’t eat cabbage and lettuce, three of them don’t eat banana and cabbage, and four of them don’t eat lettuce and banana. One eats none of these. And there is no child who eats all of these.How many children are there? Choose the correct choice from the following:  A) 8  B) 9  C) 10  D) 11  E) 12

Solution: P (A U B U 10) = P(A) + P(B) + P(10) - P(A ∩ B) - P(A ∩ 10) - P(B ∩ 10) + P(A ∩ B ∩ 10)   i think using this we can find ans as   no of child = 7+5+6-2-3-4+1= 
7+5+6-2-3-4+1 = 10
10   ANSWER:10
Answer: C
The last two-digits in the multiplication 122 × 123 × 125 × 127 × 129 will be Choose the correct choice from the following options
A) 20
B) 50
C) 30
D) 40
E) 10

Solution: Solution   The answer will be 50 since, (125 × 122) will give 50 as the last two digits. Answer 50
Answer: B
A bag contain 25 blue marbles and 25 purple marbles. One marble is drawn at random. What is the probability that
marble is purple? Choices:
A) 1/4  B) 2/3  C) 1/2  D) 5/3  E) None of these

Solution: Explanation:   Total cases = 25 + 25= 
25 + 25 = 50
50   Favourable cases= 25   So probability = 25/50 = 1/2   Answer: 1/2
Answer: C
How many positive integers less than 10,000 are there in which the sum of the digits equals 5?
Select
A) 24	B) 30	C) 48	D) 56	E) 72

Solution: Basically, the question asks how many 4 digit numbers (including those in the form 0XXX, 00XX, and 000X) have digits which add up to 5. Think about the question this way: we know that there is a total of 5 to be spread among the 4 digits, we just have to determine the number of ways it can be spread.   Let X represent a sum of 1, and | represent a seperator between two digits. As a result, we will have 5 X's (digits add up to the 5), and 3 |'s (3 digit seperators).   So, for example:   XX|X|X|X = 2111   ||XXX|XX = 0032   etc.   There are 8C3 ways to determine where to place the separators. Hence, the answer is 8C3 = 56.   56
Answer: D
Farm A had an average output of 300 kgs of rice per acre. Farm B had an average output of 350 kgs of rice per acre. It is known that Farm B's area is 15 acres less than Farm A's. It is also known that Farm B in total harvested 2000 kgs of rice more than Farm A. What is the area of Farm A? Select the correct option:
A) 130 acres
B) 135 acres
C) 148 acres
D) 160 acres
E) 145 acres

Solution: The area of Farm A = x acres;   The area of Farm B = x-15 acres.   Total output of Farm A = 300x kgs;   Total output of Farm B = 350(x-15) kgs.   Farm B in total harvested 2000 kgs of rice more than Farm A: 300x+2000=350(x-15) --> x=145 acres.   Answer: 145 acres.
Answer: E
A little boy is numbering his collection of flowers by placing single-digit stickers under each specimen. If the boy has 100 flowers, how many stickers does he need? (The numbers are consecutive and the number of the first flower is 1).
Options: A) 152 B) 189 C) 192 D) 195 E) 203

Solution: For the first 9 flowers we need 9 stickers.   For the next 90 we need 2 stickers each or 180 stickers.   For the next 900 flowers we need 3 stickers each.   The first 99 flowers correspond to 189 stickers.   Subtract 99 from the total number of flowers (100).   This leaves 1 flower that uses 3 stickers each. So, multiply 1 by 3 to get 3.   Add 3 to 189 stickers to get 192 stickers.   Answer: 192
Answer: C
A furniture store owner decided to drop the price of her recliners by 20% to spur business. By the end of the week she had sold 25% more recliners. What is the percentage increase of the gross?	Choose the correct choice from the following answers.
A) 00%	B) 15%	C) 20%	D) 25%	E) 50%

Solution: Say a recliner is actually worth $100   If she sells 100 recliners then she earns $10000   00%fter the discount of 20%, she will earn $80 per recliner and she sells 25% more ie.,125 recliners   Hence her sales tields 125*80= 
125*80 = 10_000
$10000   Increase in sales=10000-10000= 
10000-10000 = 0
$0   So% increase= 0*100/10000= 
0*100/10000 = 0
0%   00% is the answer
Answer: A
The HCF and LCM of two numbers are 18 and 3780 respectively. If one of them is 540, then the second one is:	Options:	A) 142	B) 126	C) 118	D) 112	E) 116

Solution: Explanation:   Product of HCF1 and LCM1 = product of HCF2 and LCM2   18× 3780 = 540× HCF2   HCF2 =18 x 3780 / 540   =126   Answer: 126
Answer: B
A train 130 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is?  Choices
A) 13 km/hr B) 51.8 km/hr C) 17 km/hr D) 18 km/hr E) 12 km/hr

Solution: Speed of the train relative to man = (130/10) m/sec   = (13) m/sec. [(25/2) * (18/5)] km/hr   = 46.8 km/hr. Let the speed of the train be x km/hr. Then, relative speed   = (x - 5) km/hr. x - 5 = 46.8 ==> x   = 51.8 km/hr.   Answer:51.8 km/hr
Answer: B
What is the diffference between the place value and face value of 3 in the numeral 1375?  Select
A) 286  B) 289  C) 297  D) 300  E) 314

Solution: place value of 3 = 3 * 100= 
3 * 100 = 300
300   face value of 3= 3   300 - 3= 
300 - 3 = 297
297   297
Answer: C
If a choir consists of 2 boys and 3 girls, in how many ways can the singers be arranged in a row, so that all the boys are together? Do not differentiate between arrangements that are obtained by swapping two boys or two girls.
Options:  A) 120  B) 30  C) 24  D) 11  E) 4

Solution: There are 4 possibilities:   bbggg   gbbgg   ggbbg   gggbb   Think of all 2 boys as a single unit. Together with 3 girls it makes a total of 4 units. The difference between the arrangements is the position of the boys (as a single unit). So the problem reduces to finding the number of unique patterns generated by changing the position of the boys who can occupy 1 of 4 available positions. If the number of available unique positions is 4, then the number of unique patterns equals 4 as well.   Answer: 4.
Answer: E
In a partnership between A, B and C. A's capital is Rs.9000. If his share of a profit of Rs.800 is Rs.200 and C's share is Rs.130, what is B's capital? Select:  A) 23676  B) 19766  C) 29172  D) 21150  E) 11267

Solution: Explanation:   200 + 130= 
200 + 130 = 330
330   800 - 330= 
800 - 330 = 470
470   200 ---- 9000   470 ---- ?=> 21150   Answer:21150
Answer: D
Three men sit at a table. One dollar is placed in front of each of them. When a buzzer sounds, the first man to touch the money in front of him keeps the money that is in front of him, while the other two receive nothing. If none of the three men touches the money in front of them, then the amount of money doubles for the next round. After six rounds of this activity, what is the maximum amount of money that any one man could receive?	Choices:
A) $4  B) $5  C) $10  D) $15  E) $32

Solution: The Optimized scenario   After 1st Round - $1. Let nobody touches the amount will double in next round.   After 2nd Round - $2. Let nobody touches the amount will double in next round.   After 3rd Round - $4. Let nobody touches the amount will double in next round.   After 4th Round - $8. Let nobody touches the amount will double in next round.   After 5th Round - $16. Let Man A touches it and get$16   After 6th Round - $16. Let the same Man A touches it and get another$16.   So, after 6th round, the maximum amount a man receives is $32.   Answer ($32)
Answer: E
Thomas takes loan from a bank at 20% p.a. simple interest.
After how many years will the sum of money become three times the principal?  Answers:
A) 2 years 1 month
B) 4 years
C) 10 years
D) 8 years 3 months 2 days
E) 5 years

Solution: Solution: simple interest question   B=A[1+ (tr/100)]; where A is principal amount, B final amount, t time in years and r interest rate   after putting the values 20   3= [1+(20t/100)]   t= 10 which is 10 years.   Answer is 10 years
Answer: C
The expression (5x-2)/(x+1) is equivalent to which of the following?
Choose one:	A) (5-2)/3	B) 5 – (2/3)	C) 5 – (x)/(x+3)	D) 5 – (17)/(x+3)	E) 5 - (7)/(x+3)

Solution: Easiest way is to pick any number and put in (5x-2)/(x+3). Then check the options with the same number.   I took x=1 and got 5 - (7)/(x+3) as the answer.
Answer: E
A solution contains 8 parts of water for every 7 parts of Lemonade syrup. How many parts of the solution should be removed and replaced with water so that the solution will now contain 20% lemonade syrup?
Choose one:
A) 1.5	B) 1.75	C) 2.14	D) 2.34	E) 2.64

Solution: Let the total solution is 150 L with 80 L water70 L syrup.   To make 20% syrup solution, the result solution must have 120 L syrup and 30 L syrup.   Therefore we are taking 40 L of syrup from initial solution and replacing with water.   using urinary method:   70 L syrup in 150 L solution   40 L syrup in 85.7 L solution   We started by multiplying 10   Now to get to the result we need to divide by 40 => amount of solution to be replaced with water = (85.7/40) = 2.14.   2.14orrect option : 2.14
Answer: C
A certain research group plans to create computer models of x% of a list of 10,000 bacterial species known to inhabit the human body. After a budget cut, the group finds it must reduce this selection by (x − 10)%. In terms of x, how many species of bacteria will the group be able to model? Choose the correct choice from the following options
A) x*x – 5x B) (x)(105 – x) C) (100)(105 – x) D) (100)(95 – x) E) (x)*(110 - x)

Solution: Initial: (x/100)*10000 = 100x (bacterial species)   After reduce BY (x - 10)%, the percentage of bacterial species = 1 - (x - 10)% = 1 - (x - 10)/100 = (110 - x)/100   Note: Difference between reduce to[means: the remain] and reduce by[means: the remain = 1 -reduce by]   So, the number of bacterial species after reducing: 100x*(110 - x)/100 = (x)*(110 - x)   Ans is (x)*(110 - x).
Answer: E
There are 5 marbles in a bag - 2 are orange and 3 are blue. If two marbles are pulled from the bag, what is the probability Q that at least one will be orange? Pick
A) Q=7/10
B) Q=3/5
C) Q=2/5
D) 3/10
E) 1/10

Solution: Method 1   Probability Q that at least one out of two marbles will be orange = 1 - Probability that both marbles are blue = 1- P(First marble is blue)*P(Second Marble is Blue) = 1- (3/5)(2/4) = 7/10   Method 2   Probability that at least one marble will be orange = P( First Marble is Orange)*P(Second Marble is Blue) + P (First Marble is Blue)*P(Second Marble is Orange) + P(First Marble is Orange) *P(Second Marble is Orange) = (2/5)*(3/4)*2 + (2/5)*(1/4) = 7/10   Method 3   Probabilty that at least one marble will be orange = 1 - Probability that both marbles are blue   = 1 - (Number of ways 2 blue marbles out of 3 can be pulled)/(Number of ways 2 marbles out of 5 can be pulled)   = 1 - 3C2/5C2   = 1-(3/10) = 7/10   Q=7/10nswer :Q=7/10
Answer: A
A car covers a distance of 690 km in 6 hours. Find its speed?  Choose the correct choice from the following answers
A) 104 B) 115 C) 266 D) 288 E) 121

Solution: 690/6= 
690/6 = 115
115 kmph   Answer:115
Answer: B
A sum is divided between A and B in the ratio of 1 : 2. A purchased a car from his part, which depreciates 14 2/7% per annum and B deposited his amount in a bank, which pays him 20% interest per annum compounded annually. By what percentage will the total sum of money increase after two years due to this investment pattern (approximately).
Choose the correct choice from the following options
A) 22.48% B) 20.48% C) 24.48% D) 25.48% E) 26.48%

Solution: Let the total money=300   A's part=100   20.48%'s part=200   After 2 years A's part=73.46 (As it depreciates by 14.29% per annum)   After 2 years 20.48%'s part=288 (using the compound interest formula, A=P(1+r/n)^nt), where   P=200,r=0.2,n=1,t=2)   So, After 2 years total amount=361.46   Therefore % increase in money=(361.46-300)*100/300=20.48%   ANSWER:20.48%
Answer: B
A person travelled from his house to office at 40km/hr and office to house at 60km/hr. Then find the average speed?
Choose the correct choice from the following:
A) 30km/hr	B) 40km/hr	C) 48km/hr	D) 50km/hr	E) 62km/hr

Solution: Average speed = (2*40*60)/(40+60)= 
(2*40*60)/(40+60) = 48
48km/hr   Answer is 48km/hr
Answer: C
One card is drawn from a pack of 52 cards. What is the probability that the card drawn is not a face card?	Select.
A) 4/15
B) 5/17
C) 9/13
D) 3/13
E) 7/15

Solution: Out of 52 cards there will be 16 face cards are there.   probability of getting not a face card = 36/52 = 9/13   Answer is 9/13
Answer: C
Which of the following is a terminating decimal, when expressed in decimals?
Choose the correct choice: A) 17/223 B) 13/231 C) 41/3 D) 41/256 E) 35/324

Solution: The fraction a/b is a terminating fraction only if the denominator b meets any of following conditions   (1) the denominator is a form of 2^n   (2) the denominator is a form of 5^m   (3) the denominator is a form of 2^n*5^m   If the denominator is a form of 2^n*3^m ==> The fraction is not terminating decimal.   ANSWER:41/256
Answer: D
How many different ways can you select a pilot and a co pilot if you have 50 people to choose from?	Pick one:	A) 199	B) 200	C) 2450	D) 4950	E) 9900

Solution: You are not just choosing two from 50. Each of the two people chosen fills a particular slot. The first filling the pilot slot and the second filling the copilot slot is different from the first filling the copilot slot and the second filling the pilot slot.   So the answer is in a sense (50C2) x 2 = 2450.   Ans 2450
Answer: C
A leak at the bottom of the tank can empty the tank in 5 hours, while an inlet pipe can fill the same tank at the rate of 6 litres per minute. When the tank is full, the inlet is opened and the tank gets empty in 8 hours due to the leakage. Find the capacity of the tank.  Pick one.
A) 1800 litres	B) 3600 litres	C) 4800 litres	D) 5760 litres	E) None of these

Solution: Explanation:   The capacity of the tank is given by 4800 litres = (p*q*r)/(r – p) litres   Where, p = time in which the leakage can empty the tank in hours = 5 hours   q = rate at which the inlet fills the tank in lph = 6*60= 
6*60 = 360
360 lph   r= time in which the tank gets emptied in hours = 8 hours   Hence, 4800 litres = (5*360*8)/(8 – 5)   4800 litres = 4800 litres   ANSWER 4800 litres
Answer: C
A truck driver drove for 2 days. On the second day, he drove 3 hours longer and at an average speed of 15 miles per hour faster than he drove on the first day. If he drove a total of 1,600 miles and spent 21 hours driving during the 2 days, what was his average speed on the first day, in miles per hour? Answers
A) 25.0 B) 30.3 C) 35.2 D) 40.4 E) 67.6

Solution: Day 1   2t+3=21   t=9   Day 2   t+3   9+3= 
9+3 = 12
12   9r+12(r+15)=1600   r=67.6   Answer:67.6
Answer: E
Two trains are running in opposite directions with the same speed. If the length of each train is 250 m and they cross each other in 10 sec, then the speed of each train is?	Choose the correct choice from the following.
A) 30 B) 31 C) 36 D) 25 E) 90

Solution: Let the speed of each train be x m/sec.   Then, relative speed of the two trains = 2x m/sec.   So, 2x = (250 + 250)/10 => x =25   Speed of each train = 25 m/sec.   = 25 * 18/5= 
25 * 18/5 = 90
90 km/hr.   Answer: Option 90
Answer: E
A rectangular plot measuring 10 meters by 50 meters is to be enclosed by wire fencing. If the poles of the fence are kept 5 meters apart. How many poles will be needed? Pick:
A) 46m  B) 66m  C) 26m  D) 24m  E) 25m

Solution: Perimeter of the plot = 2(10+50) = 120m   no of poles =120/5= 
120/5 = 24
24m   Answer: 24m
Answer: D
In a certain code language, 'book' is coded as 'pencil', 'pencil' is coded as 'mirror', 'mirror' is coded as 'board'. Then what is useful to write on a paper?  Select:
A) 2
B) 6278
C) 277
D) 281
E) 22

Solution: We use pencil to write on a paper but here pencil is coded as mirror. So, the answer is mirror.   2nswer:2
Answer: A
Each side of a certain parallelogram has length 4. If the area of the parallelogram is 12. Which of the following is the measure of one of its angles? Answers
A) 30
B) 48.6
C) 60
D) 90
E) 120

Solution: area of a parallelogram = b*h   b*h=12   h=12/4= 
12/4 = 3
3   sin theta=opp/hyp= 3/4   theta = sin inv of 3/4=48.6 deg   48.6
Answer: B
A girl was asked to multiply a certain number by 43. She multiplied it by 34 and got his answer less than the correct one by 1206. Find the number to be multiplied.	Options:
A) 130 B) 132 C) 134 D) 136 E) 138

Solution: Let the required number be x. Then,   43x – 34x = 1206 or 9x = 1206 or x = 134.   Required number = 134.   ANSWER:134
Answer: C
The price of a certain product increased by the same percent from 1960 to 1970 as from 1970 to 1980. If its price of $1.80 in 1970 was 150 percent of its price in 1960, what was its price in 1980?	Choose the correct choice from the following answers
A) a) $ 1.80  B) b) $ 2.00  C) c) $ 2.40  D) d) $ 2.70  E) e) $ 3.00

Solution: The price in 1970 was 150 percent of its price in 1960, means that the percent increase was 50% from 1960 to 1970 (and from 1970 to 1980).   Therefore the price in 1980 = $1.8*1.5 = $2.7.   Answer: d) $ 2.70.
Answer: D
The sum of the first 50 positive even integers is 2550. What is the sum Q of even integers from 102 to 200 inclusive?	Choose the correct answer:
A) 5100
B) 7550
C) 10100
D) 15500
E) 20100

Solution: My solution is:   First 50 even integers:   2   4   6   8   <...>   Integers from 102 to 200   102   104   106   108   <...>   We notice that each integer from the second set is 100 more than the respective integer in the first set. Since we have 50 even integers from 102 to 200, then:   Q=2550+(100*50)=7550.7550
Answer: B
What is the smallest positive perfect square that is divisible by 12, 15, and 18?	Choose the most appropriate option
A) 900  B) 1,600  C) 2,500  D) 3,600  E) 4,900

Solution: Take the LCM of 12,15,18 that will come 180. the smallest positive perfect square given in the option that can be divided with 180 is 900.   so the ans is (900)
Answer: A
The volume of a cistern is 840 cubic meters and water is flowing into the cistern. If the surface level of the water is rising at the rate of 0.5 meters per minute, what is the rate, in cubic meters per minutes, at which the water is flowing into the cistern?  Choose the correct answer:
A) 0.125
B) 0.25
C) 0.5
D) 0.75
E) Not enough information to determine the rate

Solution: There are not enough info to answer the question.   A 840 cubic meters rectangle is built from: height*length*width.   From the question we know the volume of the pool and the filling rate.   A pool can have a a height of 10*width8.4*length10 and have a volume of 840 cubic meters, and it can have a height of 1 meter, width of 100 meters and length of 8.4. In both cases the pool will fill up in a different rate.   The correct answer is Not enough information to determine the rate.
Answer: E
Calculate the amount that an investor needs to be invest to earn approximately $1076 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 10% compounded semi-annually?  Choose the most appropriate option:
A) 10500  B) 16576  C) 10100  D) 13500  E) 11500

Solution: the approach is substitution,   our interest requirement is $1076 after 12 months, 2 compounding period.   calculate the compound interest on each option and find out the one that yields 460 in 12 months   10500 yielded $1076   using the formula   10500 = P(1 + r/n)nt   hence answer is 10500
Answer: A
A rectangular table, kept against a wall has a three sides free and the wall along the fourth side. The side opposite the wall is twice the length of each of the other two free sides. If the area of the rectangular table is 128 square feet, what is the total length of the table free sides, in feet?	Choose the correct choice from the following options
A) 4	B) 8	C) 16	D) 32	E) 64

Solution: two sides EACH = x the third = 2x and the wall side is thus 2x too   x*2x = 2x^2 = 128 ie x^2 = 64 ie x = 8   L = 16 W=8   TOTAL LENGHT OF table's free sides = 2*8+16= 
2*8+16 = 32
32   MY ANSWER IS 32
Answer: D
A horse has 14 apples, then he finds 7 more apples. Now how many apples does he have?  Choose the correct choice from the following:  A) A)24  B) B)21  C) C)7  D) D)18  E) E)12

Solution: 14+7= 
14+7 = 21
21. Answer is 21
Answer: B
Two persons start running simultaneously around a circular track of length 100 m from the same point at speeds of 10 km/hr and 20 km/hr. When will they meet for the first time any where on the track if they are moving in opposite directions ? Choose the most appropriate option:
A) 20 sec B) 12 sec C) 19 sec D) 32 sec E) 28 sec

Solution: Explanation:   Time taken to meet for the first time anywhere on the track   = length of the track / relative speed   = 100 / (10 + 20)5/18 = 100 x 18 / 30 x 5 = 12 seconds.   Answer: 12 sec
Answer: B
Rs. 800 becomes Rs. 956 in 3 years at a certain rate of simple interest. If the rate of interest is increased by 4%, what amount will Rs. 800 become in 3 years.
Pick one
A) Rupees 1052 B) Rs 1152 C) Rs 1252 D) Rs 1352 E) None of these

Solution: Explanation:   S.I. = 956 - 800= 
956 - 800 = 156
Rs 156   R=156∗100 /800∗3   R=6 1/2%   New Rate = 6 1/2+4   =21/2%   New S.I. = 800×21/2×3100=252   Now amount will be  800 + 252= 
 800 + 252 = 1_052
1052   Option Rupees 1052
Answer: A
The ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8. If there are 90 black cars in the lot, how many red cars are there in the lot?	Choose the correct choice from the following options:
A) 11  B) 33  C) 24  D) 31  E) 32

Solution: R/33 = 3/8 and 33 =90   R = 90*3/8 = 33
Answer: B
A batsman scored 120 runs whichincluded 3 boundaries and 8sixes. What % of his total score did he make by running between the wickets	Choose the correct choice from the following answers
A) 30% B) 50% C) 70% D) 60% E) 80%

Solution: Number of runs made by running = 110 - (3 x 4 + 8 x 6)   = 120 - (60)= 
120 - (60) = 60
60   Now, we need to calculate 60 is what percent of 120.=> 60/120 * 100= 
60/120 * 100 = 50
50%   50%
Answer: B
If x and y are integers, what is the least positive number of 24x+18y?	Select:  A) 3  B) 6  C) 9  D) 12  E) 15

Solution: 24x+21y = 6(4x+3y) which will be a minimum positive number when 4x+3y = 1.   4(1) + 3(-1) = 1   Then 6(4x+3y) can have a minimum positive value of 6.   The answer is 6.
Answer: B
There are 24 students in Chadâ€™s class. He brought 28 cookies to pass out
for his birthday. How many cookies will each student get? Will there be
any cookies left over?	Choices:
A) 1-9	B) 1-7	C) 2-8	D) 1-4	E) 3-10

Solution: 28/24 = 1 R 4 Chad will give each student 1 cookie and there will be 4   cookies left over   correct answer 1-4
Answer: D
A woman complete a journey in 25 hours. She travels first half of the journey at the rate of 21 km/hr and second half at the rate of 24 km/hr. Find the total journey in km.
Choose the correct choice:
A) 334 km.
B) 216 km.
C) 314 km.
D) 224 km.
E) 560 km.

Solution: 0.5x/21 + 0.5x/24 = 25   --> x/21 + x/24 = 50   --> x = 560 km.   560 km.
Answer: E
A car started running at a speed of 30 km/hr and the speed of the car was increased by 2 km/hr at the end of every hour. Find the total distance covered by the car in the first 10 hours of the journey. Select
A) 39 km B) 76 km C) 25 km D) 15 km E) 30 km

Solution: 39 km   39 km   The total distance covered by the car in the first 10 hours = 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 + 46 + 48 = sum of 10 terms in 39 kmP whose first term is 30 and last term is 48 = 10/2 [30 + 48] = 390 km.
Answer: A
Find the percentage gain if a shop owner sells 39 mtr of fabric and gains Cost Price of 12 meters? Choose the correct choice from the following answers:
A) 20.5%	B) 23.5%	C) 21.5%	D) 13.5%	E) 32.5%

Solution: Let cost of each metre be Rs. 100.   Therefore, cost price of 12m cloth = 12*100= 
12*100 = 1_200
1200   cost price of 39m cloth= 39*100= 
39*100 = 3_900
3900   Since the trader made the CP of 12m from the sale of 39m therefore   Profit on sale of 39m= cost price of 12 m cloth = 1200   Selling price of 39m = 3900+1200= 
3900+1200 = 5_100
5100   Profit %= 23.5%   23.5%
Answer: B