Arun lends ₹ 20,000 to two of his friends. He | vedclass

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(D) Total principal amount = ₹ $20,000$.Interest earned from the first friend on ₹ $12,000$ at $8 \%$ p.a. for $1$ year = $\frac{12000 	imes 8 	imes

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$13$

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(D) Total principal amount = ₹ $20,000$.Interest earned from the first friend on ₹ $12,000$ at $8 \%$ p.a. for $1$ year = $\frac{12000 	imes 8 	imes 1}{100} = ₹ 960$.Total desired gain on ₹ $20,000$ at $10 \%$ p.a. = $\frac{20000 	imes 10}{100} = ₹ 2,000$.Remaining principal to be lent to the second friend = $20000 - 12000 = ₹ 8,000$.Required interest from the second friend = $2000 - 960 = ₹ 1,040$.Let the rate of interest for the second friend be $R \%$.Using the formula,$SI = \frac{P 	imes R 	imes T}{100}$,we get $1040 = \frac{8000 	imes R 	imes 1}{100}$.$R = \frac{1040}{80} = 13 \%$.Therefore,the required rate is $13 \%$ per annum.

Arun lends ₹ $20,000$ to two of his friends. He gives ₹ $12,000$ to the first at $8 \%$ p.a. simple interest. Arun wants to make a profit of $10 \%$ on the whole. The simple interest rate $\%$ at which he should lend the remaining sum of money to the second friend is

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