(B) Step $1$: Calculate the simple interest paid by Manish to Anil.$SI_{paid} = \frac{P \times R \times T}{100} = \frac{1150 \times 6 \times 3}{100} =

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(B) Step $1$: Calculate the simple interest paid by Manish to Anil.$SI_{paid} = \frac{P \times R \times T}{100} = \frac{1150 \times 6 \times 3}{100} = Rs. 207$.Step $2$: Let the sum lent by Manish to Sunil be $Rs. x$. The interest received by Manish from Sunil is $SI_{received} = \frac{x \times 9 \times 3}{100} = 0.27x$.Step $3$: Manish's total gain is the difference between the interest received and the interest paid.$Gain = SI_{received} - SI_{paid} = 274.95$.$0.27x - 207 = 274.95$.$0.27x = 274.95 + 207 = 481.95$.$x = \frac{481.95}{0.27} = 1785$.Therefore,the sum lent by Manish to Sunil is $Rs. 1785$.

Competitive Quantitative Aptitude Interest Simple Interest

Medium

Manish borrowed a sum of $Rs. 1150$ from Anil at the simple rate of $6$ $p.c.p.a.$ for $3$ years. He then added some more money to the borrowed sum and lent it to Sunil for the same time at $9$ $p.c.p.a.$ at simple interest. If Manish gains $Rs. 274.95$ by way of interest on borrowed sum as well as his own amount from the whole transaction,then what is the sum (in $Rs.$) lent by him to Sunil?

A
$1290$
B
$1785$
C
$1285$
D
$1200$

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Quantitative Aptitude Questions

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Interest

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Simple Interest

$A$ sum of $Rs. 725$ is lent in the beginning of a year at a certain rate of interest. After $8$ months,a sum of $Rs. 362.50$ more is lent but at the rate twice the former. At the end of the year,$Rs. 33.50$ is earned as interest from both the loans. What was the original rate (in $\%$) of interest?

Medium

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The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half the rate percent per annum,then the rate percent per annum is

Medium

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Arun gives his wife Asha a birthday gift,giving her each year a number of rupees equal to the number of years of her age. If her birthday falls on $August \, 8$,what sum must be placed at simple interest at $7 \%$ on $January \, 1$,before she is $42$,in order to raise the required sum (in $Rs.$)?

Medium

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When the rate of interest in a bank is reduced from $5 \%$ p.a. to $4.5 \%$ p.a.,Bani deposited $Rs. 4000$ in her savings account. She found that the new interest income remained the same as before. Find her original deposit (in $Rs.$)?

Medium

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Suhit borrowed a sum of $Rs. 6300$ from Vikas at the rate of $14 \%$ per annum for $3$ years. He then added some more money to the borrowed sum and lent it to Mohit at the rate of $16 \%$ simple interest for the same time. If Suhit gained $Rs. 618$ in the whole transaction,what sum did he lend (in $Rs.$) to Mohit?

Medium

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The simple interest on a sum of money is $\frac{8}{25}$ of the sum. If the number of years is numerically half the rate percent per annum,then the rate percent per annum is

Arun gives his wife Asha a birthday gift,giving her each year a number of rupees equal to the number of years of her age. If her birthday falls on $August \, 8$,what sum must be placed at simple interest at $7 \%$ on $January \, 1$,before she is $42$,in order to raise the required sum (in $Rs.$)?

When the rate of interest in a bank is reduced from $5 \%$ p.a. to $4.5 \%$ p.a.,Bani deposited $Rs. 4000$ in her savings account. She found that the new interest income remained the same as before. Find her original deposit (in $Rs.$)?

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