Rs $1, 500$ was invested at $20$ % per annum simple interest and a certain sum of money invested at $15$ % per annum simple interest. If the sum of the interests on both the sums after $4$ years is Rs $1, 500$ , the latter sum of money is?

200

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300

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400

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500

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Solution

The correct option is D $500$
Given $P_{1} = 1500, R_{1} = 20$ % $, T - = 4$
$P_{2} = x, R_{2} = 15$ %
$S I_{1} = \frac{P_{1} R_{1} T}{100} = 1200$
$S I_{2} = \frac{P_{2} R_{2} T}{100} = \frac{3 x}{5}$
Given sum of interests equal $1500$
$\Rightarrow S I_{1} + S I_{2} = 1500$
$\frac{3 x}{5} = 1500 - 1200$
$x = 500 = P_{2}$
$∴$ The sum of money, $P_{2}$ is Rs. $500$

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Rs 1,500 was invested at 20% per annum simple interest and a certain sum of money invested at 15% per annum simple interest. If the sum of the interests on both the sums after 4 years is Rs 1,500, the latter sum of money is?

The correct option is D 500Given P1=1500,R1=20 % ,T−=4P2=x,R2=15%SI1=P1R1T100=1200SI2=P2R2T100=3x5Given sum of interests equal 1500⇒SI1+SI2=15003x5=1500−1200x=500=P2∴ The sum of money, P2 is Rs. 500

Rs $1, 500$ was invested at $20$ % per annum simple interest and a certain sum of money invested at $15$ % per annum simple interest. If the sum of the interests on both the sums after $4$ years is Rs $1, 500$ , the latter sum of money is?