Question

A sum of Rs. 1,50,000 is distributed among three persons - A, B and C - so that they receive 20%, 30% and 50%, respectively. A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30% and 20%, respectively. Find the total amount received from both sums of money, by B.
1. Rs. 55,000
2. Rs. 60,000
3. Rs. 63,000
4. Rs. 58,000

Answer 1

Correct Answer - Option 3 : Rs. 63,000

Given:

1,50,000 is distributed among A,B and C

They receive 20%,30% and 50% respectively

Calculation:

Amount receive by A = (20/100) × 1,50,000

= Rs.30,000

Amount receive by B = (30/100) × 1,50,000

= Rs.45,000

Amount receive by C = (50/100) × 1,50,000

= Rs.75,000

Now

A receives the same amount from another sum which is 50% of the total amount

⇒ Rs. 30,000 is 50% of another amount sum

⇒ 2nd amount is Rs.60,000

Also

 B receives 30% of 2nd amount

⇒ (30/100) × 60,000

= Rs.18,000

∴ Total amount received by B is Rs.45,000 + Rs.18,000 i.e Rs.63,000