Question 150

A boy aged 12 years is left with ₹100,000 which is under a trust. The trustees invest the money at 6% per annum and pay the minor boy a sum of ₹2500, for his pocket money at the end of each year. The expenses of trust come out to be ₹500 per annum. Find the amount that will be handed over to the minor boy after he attains the age of 18 years.

Solution

Sum after 12 years of age = Rs. 1,00,000

Rate of interest = 6% and time period = 6 years

=> Amount after 18 years = $$P+\frac{P\times R\times T}{100}$$

= $$1,00,000+\frac{1,00,000\times6\times6}{100}$$

= $$1,00,000+36,000=Rs.$$ $$1,36,000$$

Total expenses per year = $$2500+500=Rs.$$ $$3,000$$

=> Total expenses for 6 years = $$6\times3000=Rs.$$ $$18,000$$

$$\therefore$$ Amount attained = $$1,36,000-18,000=Rs.$$ $$1,18,000$$

=> Ans - (C)


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