A certain sum becomes Rs. 2,356 in 3 years and Rs. 2,660 in 5 years on simple interest. The value of sum is:
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A certain sum becomes Rs. 2,356 in 3 years and Rs. 2,660 in 5 years on simple interest. The value of sum is:
Rs. 1,800
Rs. 1,880
Rs. 1,900
Rs. 1,980
The interest for 2 years (5 - 3) is 2,660 - 2,356 = 304. Thus, the annual interest is 152. For 3 years, the interest is 456; subtracting this from 2,356 gives a principal of 1,900.
The interest for two years is the difference between the amounts after 5 years and 3 years, which is 2660 minus 2356 equals Rs. 304. This means the interest for one year is 304 divided by 2, which equals Rs. 152. The interest for the first 3 years is 152 times 3, equaling Rs. 456. Subtracting this 3-year interest from the 3-year amount gives the principal: 2356 minus 456 equals Rs. 1,900.