Q. If Mr Pradeep invested a sum of money in two schemes A and B offering compound interest @ 9% p.a and 8% p.a respectively. If the total amount of interest accrued through both the schemes together in two years is was Rs 4753.20 and the total amount invested was Rs 27,000. What was the amount invested in scheme A?

12000

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13000

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15000

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17250

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None of these

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Solution

The correct option is C 15000
The amounts invested be x and 27000-x
CI over scheme $A = x (1 + \frac{9}{100})^{2} - x \to (1 C I o v e r s c h e m e B = 27000 - x (1 + \frac{8}{100})^{2} - 27000 - x \to (2 x ((1 + \frac{9}{100})^{2} - 1) - (27000 - x) ({(1 + \frac{8}{100})}^{2} - 1) = 4753.20 \frac{104}{625} x + \frac{(27000 - x) 1881}{10000} = 4753.20 1664 x + (27000 - x) 1881 = 4753.2 \times 10000 1664 x - 1881 x + 50787000 = 47532000 217 x = 50787000 - 47532000 x = \frac{3255000}{217} = 15, 000$

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