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A person gave 20% of his income to his elder son, 30% of the remaining to the younger son and 10% of the balance, he donated to a trust. He is left with ₹ 10080. His income was :
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- ₹ 50000
- ₹ 40000
- ₹ 30000
- ₹ 20000
Correct Option: D
Let income be ₹ 100
∴ Sum given to elder son = 20% of ₹ 100 = ₹ 20
Remaining Sum = Rs. 80
Sum given to younger son = 30% of ₹ 80 = ₹ 24
Remaining sum = Rs. (80 – 24) = Rs. 56
Sum given to the trust = 10% of ₹ 56 = ₹ 5.6
∴ Remaining sum = ₹ (56 – 5.6) = ₹ 50.4
∴ When 50.4 remains, total income = ₹ 100
| ∴ When ₹ 10080 remains, total income = | = ₹ 20000 | |
| 50.4 |
Here, R = ₹ 10080
p = 20%,
q = 24%
and r = 5.6%
| Monthly income = | × R | |
| 100 - (p + q + r) |
| Monthly income = | × 10080 | |
| 100 - (20 + 24 + 5.6) |
| Monthly income = | ||
| 100 - 49.6 |
| Monthly income = | = 20,000 | |
| 50.4 |
