In how many years will Rs 870 amount to Rs 1,044, the rate of interest being 5%?
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In how many years will Rs 870 amount to Rs 1,044, the rate of interest being 5%?
4.5 years
3 years
4 years
5 years
Simple interest = 1044 - 870 = 174. Using SI = P*R*T/100, 174 = 870 * 5 * T / 100. T = 17400 / 4350 = 4 years.
Using the Simple Interest formula, we first find the interest earned which is 1044 minus 870, giving 174. Substituting into the formula Time equals Interest multiplied by 100 divided by Principal multiplied by Rate, we get Time equals 174 times 100 divided by 870 times 5. This simplifies to 17400 divided by 4350, which equals 4 years.