The price of 24 apples is equal to that of 28 oranges. The price of 45 apples and 60 oranges together is Rs.1350. The total price of 30 apples and 40 oranges is
Select the correct option
A) 850 B) 900 C) 750 D) 950 E) 800

Rationale: let the price of one apple = a and price of one orange = b price of 24 apples is equal to that of 28 oranges 24 a = 28 b = > 6 a = 7 b ⇒ b = 6 a / 7 - - - - - ( equation 1 ) price of 45 apples and 60 oranges together is rs . 1350 = > 45 a + 60 b = 1350 = > 3 a + 4 b = 90 ⇒ 3 a + 4 ( 6 a ) / 7 = 90 ( ∵ substituted the value of b from equation 1 ) ⇒ a + 4 ( 2 a ) / 7 = 30 = > 7 a + 8 a = 30 × 7 = 210 = > 15 a = 210 ⇒ a = 21015 = 423 = 14 b = 6 a 7 = ( 6 × 14 ) / 7 = 6 × 2 = 12 total price of 30 apples and 40 oranges = 30 a + 45 b = ( 30 × 14 ) + ( 40 × 12 ) = 420 + 480 = 900 answer is b .
Answer: B