Question

The ratio between the monthly salary of P and Q is 20 : 21. The ratio between the expenditure of P and Q is 5 : 7. The difference between the salary of Q and P is Rs.2000 and the savings of Q is Rs.14000. Find the ratio between the savings of P and Q.
1. 2 : 7
2. 12 : 7
3. 5 : 2
4. 7 : 12
5. 10 : 7

Answer 1

Correct Answer - Option 5 : 10 : 7

Given:

Let salary of P and Q be Rs.20a and Rs.21a respectively.

Calculation:

⇒ 21a - 20a = 2000

⇒ a = 2000

The monthly salary of P and Q is Rs.40000 and Rs.42000 respectively.

⇒ Expenditure of Q = 42000 - 14000 = Rs.28000

Then,

⇒ (Expenditure of P) : 28000 = 5 : 7

⇒ Expenditure of P = 28000 × 5/7 = Rs.20000

⇒ Savings of P = 40000 - 20000 = Rs.20000

Required ratio = 20000 : 14000 = 10 : 7

∴ the correct answer is 10 : 7