Question 33

Amit donated 20% of his income to a school and deposited 20% of the remainder in his bank. If he is having Rs 12800 now, then what is the income (in Rs) of Amit?

Solution

Let Amit's income = Rs. $$100x$$

Amount donated to school = $$\frac{20}{100}\times100x=Rs.$$ $$20x$$

Amount left = Rs. $$(100x-20x)=Rs.$$ $$80x$$

Amount deposited in bank = $$\frac{20}{100}\times80x=Rs.$$ $$16x$$

Amount left = Rs. $$(80x-16x)=Rs.$$ $$64x$$

According to ques, => $$64x=12800$$

=> $$x=\frac{12800}{64}=200$$

$$\therefore$$ Amit's income = $$100\times200=Rs.$$ $$20,000$$

= Ans - (B)

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