Question : A boy aged 12 years is left with Rs. 1,00,000 which is under a trust. The trustees invest the money at 6% per annum and pay the minor boy a sum of Rs. 2,500, for his pocket money at the end of each year. The expenses of the trust come out to be Rs. 500 per annum. Find the amount that will be handed over to the minor boy after he attains the age of 18 years.
Option 1: Rs. 1,20,000
Option 2: Rs. 1,50,000
Option 3: Rs. 1,18,000
Option 4: Rs. 1,25,000
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Correct Answer: Rs. 1,18,000
Solution :
Sum at the age of 12 years = Rs. 1,00,000
We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$
Sum at the age of 18 years = $100000+\frac{100000×6×6}{100}$ = Rs. 1,36,000
Total expense in 1 year = (2500 + 500) = Rs. 3,000
Total expense in 6 years = (3000 × 6) = Rs. 18,000
$\therefore$ The amount attained by the boy at the age of 18 = (136000 – 18000) = Rs. 1,18,000
Hence, the correct answer is Rs. 1,18,000.
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