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Quantitative Aptitude

Simple Interest & Compound Interest

Rs. 5200 was ...

Question

Rs. 5200 was partly invested in Scheme A at 10% pa CI for 2 years and partly invested in Scheme B at 10% pa SI for 4 years. Both the schemes earn equal interests. How much was invested in Scheme A?

Rs. 1790

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Rs. 2200

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Rs. 3410

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Rs. 2670

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None of these

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Solution

The correct option is C Rs. 3410
Amount invested in Scheme B =x
Amount invested in Scheme A=5200-x
$\frac{x \times 10 \times 4}{100} = \frac{(5200 - x) \times 21}{100} \dots [{(\frac{1 - 10}{100})}^{2} - 1] = \frac{21}{100} \frac{40 x}{100} = \frac{(5200 - x) \times 21}{100} \frac{2 x}{5} = \frac{(5200 - x) \times 21}{100} 200 x = 5200 \times 21 \times 5 - x - 5 \times 21 200 x = 54600 - 105 x 305 x = 546000 x = 1790$
Scheme A = 5200-1790=3410

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Rs. 5200 was partly invested in Scheme A at 10% pa CI for 2 years and partly invested in Scheme B at 10% pa SI for 4 years. Both the schemes earn equal interests. How much was invested in Scheme A?

The correct option is C Rs. 3410Amount invested in Scheme B =x Amount invested in Scheme A=5200-x x×10×4100=(5200−x)×21100…[(1−10100)2−1]=2110040x100=(5200−x)×211002x5=(5200−x)×21100200x=5200×21×5−x−5×21200x=54600−105x305x=546000x=1790 Scheme A = 5200-1790=3410