Discussion
In how many years will a sum of Rs. 9600 becomes 1.5 times of itself on simple interest at 5% per annum?
Answer: A
The time is 10 years. For the sum to become 1.5 times itself the interest must be half the sum, 4,800 rupees on Rs 9,600. Simple interest = 9600 x 5 x t / 100 = 480t, so 480t = 4800 and t = 10 years. 8, 11 and 12 years give interest of 3,840, 5,280 and 5,760 rupees. Here the interest needed is 50 per cent of the principal, and at 5 per cent a year each year earns 5 per cent of the principal, so the time is 50 divided by 5 = 10 years, whatever the principal is.
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