1. Equal amounts are invested in two schemes A and B for 6 years and 8 years respectively. Scheme A offers interest at the rate of 12% per annum and scheme B offers interest at the rate of 8% per annum. The difference between the interests earned is Rs. 1280. What is the amount invested in each scheme ?
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By: anil on 05 May 2019 01.30 am
Let the amounts invested in each scheme be $$100x$$ Scheme A : rate = 12% , time = 6 years Interest earned = $$frac{P imes R imes T}{100}$$ = $$frac{100x imes 12 imes 6}{100} = 72x$$ Scheme 2 : rate = 8% , time = 8 years Interest earned = $$frac{100x imes 8 imes 8}{100} = 64x$$ => Difference in interest = $$72x - 64x = 1280$$ => $$x = 160$$ $$ herefore$$ Amount invested in each scheme = 100 * 160 = Rs. 16,000
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