Rs. $1, 000$ was invested at $15$ % per annum simple interest and a certain sum of money invested at $20$ % per annum simple interest. If the sum of the interests on both the sums after $4$ years is Rs. $800$ , the latter sum of money is ?

500

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250

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200

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100

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Solution

The correct option is B $250$
Given $P_{1} = 1000, R_{1} = 15$ % $, T - = 4$
$P_{2} = x, R_{2} = 20$ %
$S I_{1} = \frac{P_{1} R_{1} T}{100} = 600$
$S I_{2} = \frac{P_{2} R_{2} T}{100} = \frac{4 x}{5}$
Given $S I_{1} + S I_{2} = 800$
$600 + \frac{4 x}{5} = 800$
$x = \frac{200 \times 5}{4} = 250$
$∴ P_{2} = x =$ Rs. $250$ which is the latter sum.

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Rs. 1,000 was invested at 15% per annum simple interest and a certain sum of money invested at 20% per annum simple interest. If the sum of the interests on both the sums after 4 years is Rs. 800, the latter sum of money is ?

The correct option is B 250Given P1=1000,R1=15% ,T−=4P2=x,R2=20 %SI1=P1R1T100=600SI2=P2R2T100=4x5Given SI1+SI2=800600+4x5=800x=200×54=250∴P2=x=Rs.250 which is the latter sum.

Rs. $1, 000$ was invested at $15$ % per annum simple interest and a certain sum of money invested at $20$ % per annum simple interest. If the sum of the interests on both the sums after $4$ years is Rs. $800$ , the latter sum of money is ?