Subject: General Aptitude · Chapter: Ratio and Proportion · Exam: · Marks: · Difficulty:
The salary of A, B and C together amounts to ` 33300. If they spend 80%, 85% and 75% of their respective incomes, their savings are as 7 : 6 : 9. Find the salary of B.
Answer
Answer (as printed):
Explanation
Since A, B and C spend 80%, 85% and 75% of their incomes, they save 20%, 15% and 25% of their incomes. Let the salary of A, B and C be x, y and z respectively. x 3y z Then, 20% of x : 15% of y : 25% of z = 7 : 6 : 9 ⇒ : : = 7 : 6 : 9. 5 20 4 x 3y x 3y x 3 7 7 : ::7 :6 ⇒ × 6 = ×7⇒ = × ×5= . 5 20 5 20 y 20 6 8 3y z 3y z y 1 6 20 10 : ::6:9⇒ ×9= ×6⇒ = × × = . 20 4 20 4 z 4 9 3 9 4 4 36 So, x : y = 7 : 8 and y : z = 10 : 9 = 10 × : 9 × = 8 : . 5 5 5 36 x : y : z = 7:8: = 35 : 40 : 36. 5 Let x = 35k, y = 40k and z = 36 k. \ 35k + 40k + 36k = 33300 ⇒ 111k = 33300 ⇒ k = 300. Hence, B’s salary = ` (40 × 300) = ` 12000.
Explanation as extracted from the printed page; notation may be imperfect.