Question

A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs. 250 less than the sum lent. What was the sum lent (in Rs)?
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Answer 1

Answer:

Let the sum lent = Rs x

According to question,

x - xX5X15100 = 250

100x - 75x = 25 x 100

25x = 250 x 100

x = Rs. 1000/-

Step-by-step explanation:

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Answer 2

Given,

Rate of interest (R) = 5%

Number of years (n) = 15

Interest amount (I) = Rs 250

Here we have to find the lent amount.

Let the lent amount be x.

$\implies\sf{250=x-\dfrac{x\times 5\times 15}{100}}$

$\implies\sf{250=\dfrac{100x-75x}{100}}$

$\implies\sf{250\times 100=100x-75x}$

$\implies\sf{25000=25x}$

$\implies\sf{x=\dfrac{25000}{25}}$

$\implies\sf{x=1000}$

$\boxed{\sf{\therefore Sum \ Lent=Rs \ 1000}}$