Question

Bharath borrowed rs.20,000 partly from a friend at 12% si and the remaining from the bank at 15% si. at the end of 2 years, he paid back an amount of rs.25,700. what is the amount that he borrowed from the bank?

Answer 1

from bank he borrowed 15000 rs ..

Answer 2

Answer:

Bharat borrowed Rs 15,000 from bank.

Explanation:

Bharat borrowed Rs 20,000 partially from a friend and bank.

Let us suppose he borrowed Rs x from friend.

Rest will borrowed from bank = Rs (20,000 - x)

Both are on simple interest.

$\text{Formula of Simple Interest }=\frac{P\times R\times t}{100}$

Friend:

• Principle = Rs x
• Time = 2 years
• Rate = 12%
• Simple Interest = ?

Using simple interest formula to calculate interest paid to his friend.

$I_{Friend}=x \times 0.12\times 2 \Rightarrow 0.24x$

Bank:

• Principle = Rs (20,000-x)
• Time = 2 years
• Rate = 15%
• Simple Interest = ?

Using simple interest formula to calculate interest paid to bank

$I_{Bank}=(20000-x) \times 0.15\times 2 \Rightarrow 0.3(20000-x)$

Paid back amount = Rs 25,700 and Borrowed amount = Rs 20,000

Total interest paid by Bharat = 25,700 - 20,000 = Rs 5,700

$I_{Friend}+I_{Bank}=5700$

0.24x+0.3(20000-x)=5700

0.24x+6000-0.3x=5700

-0.06x=-300

x=5,000

Amount borrowed from friend = Rs 5,000

Amount borrowed from Bank =  20,000 - 5,000 = Rs 15,000

Thus, Bharat borrowed Rs 15,000 from bank.