Problem: two numbers a and b are such that the sum of 5 % of a and 2 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b .
Rationale: explanation : 5 % of a + 2 % of b = 2 / 3 ( 6 % of a + 8 % of b ) 5 a / 100 + 2 b / 100 = 2 / 3 ( 6 a / 100 + 8 b / 100 ) ⇒ 5 a + 2 b = 2 / 3 ( 6 a + 8 b ) ⇒ 15 a + 6 b = 12 a + 16 b ⇒ 3 a = 10 b ⇒ ab = 10 / 3 ⇒ a : b = 10 : 3 answer : option d
annotated_formula: divide(subtract(divide(multiply(divide(8, const_100), const_2), const_3), divide(2, const_100)), subtract(divide(5, const_100), divide(multiply(divide(6, const_100), const_2), const_3)))