Question

The amount of Rs 6,045 is divided into A, B and C in such a way that if 10 rupees is reduced from A's part, 15 rupees is reduced from B's part and 20 rupees is reduced from C's part. Then, the ratio of their parts will be 5 : 4 : 3. Find the initial part of B (in rupees).
1. 2,015
2. 2,000
3. 1,985
4. 2,250

Answer 1

Correct Answer - Option 1 : 2,015

Given:

The total amount = 6,045

A's share reduced = Rs.10

B's share reduced = Rs. 15

C's share reduced = Rs. 20

The ratio of their shares after redution = 5 : 4 : 3

Calculations:

Let share of A, B, and C after reduction certain amount be 5x, 4x, 3x

A's original amount = (5x + 10)

B's original amount = (4x + 15)

C's original amount = (3x + 20)

Total amount = 5x + 10 + 4x + 15+ 3x + 20

⇒ 12x + 45 = 6045

⇒ 12x + 45 = 6045

⇒ 12x = 6000

⇒ x = 500

B share is = 4x + 15 

⇒ 4 × 500 +15 = 2015

∴ B share is 2015