Question

Jayant gave 20% of his savings to his elder son, 30% of the rest to his younger son and 10% of the still remaining as donation to a trust. He is left with ₹ 5040. Find his total savings.

• A. ₹ 25,000
• B. ₹ 20,000
• C. ₹ 15,000
• D. ₹ 10,000

Hint:

To find the total amount, calculate the remaining amount after each deduction as a percentage of the previous amount.

Answer 1

The Correct Option is D

Let Jayant's total savings be \( x \). He gave 20% to his elder son, so the amount left after this is: \[ \text{Amount left after elder son} = x - 0.20x = 0.80x. \] Next, he gave 30% of the remaining to his younger son, so the amount left after this is: \[ \text{Amount left after younger son} = 0.80x - 0.30 \times 0.80x = 0.80x \times 0.70 = 0.56x. \] Then, he gave 10% of the remaining to a trust, so the amount left after this is: \[ \text{Amount left after trust} = 0.56x - 0.10 \times 0.56x = 0.56x \times 0.90 = 0.504x. \] We are told that this amount is ₹ 5040, so: \[ 0.504x = 5040 \quad \Rightarrow \quad x = \frac{5040}{0.504} = 10,000. \] Thus, Jayant's total savings is ₹ 10,000, which corresponds to option (4).