Question 47

An equal amount of sum, Rs. P is invested in scheme A and scheme B. Both the schemes A and B offer simple interest at the rate of 12% and 9% respectively. If at the end of two years total amount received from both the schemes together was Rs. 21,780/-, what is the value of P ?

Solution

Amount in scheme A at 12% S.I.

= $$\frac{P \times 12 \times 2}{100} + P$$

= $$\frac{24P}{100} + P = \frac{124P}{100}$$

Amount in scheme B at 9% S.I.

= $$\frac{P \times 9 \times 2}{100} + P$$

= $$\frac{18P}{100} + P = \frac{118P}{100}$$

Acc to ques,

=> $$\frac{124P}{100} + \frac{118P}{100} = 21,780$$

=> $$242P = 21,780 \times 100$$

=> $$P = \frac{21,78,000}{242}$$

=> $$P = Rs. 9,000$$

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