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
1. Rs. 55,000
2. Rs. 60,000
3. Rs. 63,000
4. Rs. 58,000
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