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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…

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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 ?
  • ARs.9,000/-
  • BRs.9,600/-
  • CRs.12,000/-
  • DRs.8,400/-
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CCommunity
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,
=> $\frac{124P}{100} + \frac{118P}{100} = 21,780$
=> $242P = 21,780 \times 100$
=> $P = \frac{21,78,000}{242}$
=> $P = Rs. 9,000$
0
CCommunity
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,
=> $\frac{124P}{100} + \frac{118P}{100} = 21,780$
=> $242P = 21,780 \times 100$
=> $P = \frac{21,78,000}{242}$
=> $P = Rs. 9,000$