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 Rs.10080. His income was :
Options:
A . Rs.30000
B . Rs.40000
C . Rs.50000
D . Rs.20000
Answer: Option D Answer: (d) Let income be Rs.100 Sum given to elder son = 20% of Rs.100 = Rs.20 Remaining Sum = Rs. 80 Sum given to younger son = 30% of Rs.80 = Rs.24 Remaining sum = Rs.(80 – 24) = Rs. 56 Sum given to the trust = 10% of Rs.56 = Rs.5.6 Remaining sum = Rs.(56 – 5.6) = Rs.50.4 When Rs.50.4 remains, total income = Rs.100 When Rs.10080 remains, total income = ${100 × 10080}/50.4$ = Rs.20000 Using Rule 20, If a person saves ‘R' rupees after spending x% on food, y% on cloth and z% on entertainment of his income then, Monthly income = $100/{100 - (x + y +z)}× R$
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