Ratio And Proportion Ques 40

Question-

The sum of the present ages of A, B, C and D is 76 years. After 7 years ratio of their ages is $7: 6$ : $5: 8$. What is C’s present age? (n years)

(1) 14

(2) 12

(3) 13

(4) 8

(5) 10

(IBPS Bank PO/MT CWE-VII (Prelim Exam) 15.10.2017)

Show Answer

Correct Answer: (3)

Solution: (3)

Sum of ages of A, B, C and D after 7 years $=(76+4 \times 7)$ Years $=104$ years

After 7 years $A: B: C: D=7: 6: 5: 8$

Sum of the terms of ratio $=7+6+5+8=26$

$\therefore$ C’s age after 7 years $=\left(\frac{5}{26} \times 104\right)$ years $=20$ years

$\therefore$ C’s present age $=13$ years