Question

A man possessing rs. 6800 lent a part of it at 10% simple interest and the remaining at 7.5% simple interest. His total income after 3years was rs. 1904. Find the sum lent at 10% rates

Answer 1

The sum lent at 10% rates is Rs. 4986.67.

Step-by-step explanation:

Let the principal at 10% simple interest be 'x'.

Let the principal at 7.5% simple interest be '6800-x'.

Number of years = 3

total income after 3 years = Rs. 1904

According to question, it becomes,

$\dfrac{x\times 3\times 10}{100}+\dfrac{(6800-x)\times 7.5\times 3}{100}=1904\\\\30x+22.5(6800-x)=190400\\\\30x+153000-22.5x=190400\\\\7.5x=190400-153000\\\\7.5x=37400\\\\x=\dfrac{37400}{7.5}\\\\x=4986.67$

Hence, the sum lent at 10% rates is Rs. 4986.67.

# learn more:

QID : 10 - Some part of Rs 17500 was lent at the rate of 24% per annum simple interest and the remaining part at the rate of 10% per annum simple interest. The total interest received after 5 years is Rs 13300. What is the ratio of money lent at the rate of 24% and 10%?

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