1. The respective ratio of the sums invested for 2 years each, in scheme A offering 20% per annum compound interest (compounded annually) and in Scheme B offering 9% p.a. simple interest is 1 : 3. Difference between the interests earned from both the schemes is Rs.12000. How much was invested in scheme A?
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By: anil on 05 May 2019 01.36 am
Amount invested in scheme A = Rs. x
Amount invested in scheme B = Rs. 3x
Given that,
$$frac{3x imes 2 imes 9}{100} - x[(1 + frac{20}{100})^2 - 1] = 12000$$
$$frac{54x}{100} - frac{11x}{25} = 1200$$
$$x = 12000$$ Hence, amount invested in scheme A = Rs. 12,000
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Amount invested in scheme B = Rs. 3x
Given that,
$$frac{3x imes 2 imes 9}{100} - x[(1 + frac{20}{100})^2 - 1] = 12000$$
$$frac{54x}{100} - frac{11x}{25} = 1200$$
$$x = 12000$$ Hence, amount invested in scheme A = Rs. 12,000