A person gave 20% of his income to his elder son, 30% of the re- maining 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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Step-by-step explanation:
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 =
100 × 10080
= ₹ 20000
50.4
,
Here, R = ₹ 10080
p = 20%,
q = 24%
and r = 5.6%
Monthly income =
100
× R
100 - (p + q + r)
Monthly income =
100
× 10080
100 - (20 + 24 + 5.6)
Monthly income =
1008000
100 - 49.6
Monthly income =
1008000
= 20,000
50.4
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