Question

A sum of Rs. 7,560 is divided between A, B and C such that if their shares are diminished by Rs. 400, Rs. 300 and Rs. 260, respectively, then their shares are in the ratio 4 ∶ 2 ∶ 5. What is the original share of B?
1. Rs. 1,500
2. Rs. 1,200
3. Rs. 2,400
4. Rs. 2,700

Answer 1

Correct Answer - Option 1 : Rs. 1,500

Given :

Sum of Rs. 7560 is divided among A,B and C

If Rs 400, 300 and 260 is taken from A,B and C respectively then the ratio is 4 ∶ 2 ∶ 5

Calculation :

Shares of A,B and C is diminished by Rs.400,Rs.300 and Rs.260 respectively

⇒ Diminished sum = Rs.7560 - (400 + 300 +260)

⇒ Rs.6600

The new ratio is 4 ∶ 2 ∶ 5

⇒ 11 units = Rs.6600

⇒ 1 unit = Rs.600

⇒ Diminished share of B = 2 × 600

⇒ Rs.1200

∵ B was diminished by Rs.300

∴ Original share of B is Rs.1500