Question

Ramya borrowed Rs. r from Krishna at the rate of 13% simple interest and Rs. 2r from Mohana at the rate of 26 % simple interest she then added Rs. 82500 with the total amount she borrowed from Krishna and Mohana together and lend it to Soha at the rate of 10% simple interest. The total profit, she received at the end of one year in this process was Rs. 1725. Find the value of r?
1. 17632.85
2. 16542.85
3. 16782.85
4. 18678.85
5. 18642.85

Answer 1

Correct Answer - Option 5 : 18642.85

Calculation:

Total money borrowed by Ramya from Krishna = Rs. r = let r be 100a

The total interest paid by her to Krishna = 13% of 100a

⇒ 13a 

Total money borrowed by Ramya from Mohana = 2r = So it becomes 200a

The total interest paid by her to Mohana = 26% of 200a

⇒ 52a 

Total money she borrowed, = Rs. (100a + 200a)

⇒ Rs. 300a 

Total interest she paid = Rs. (13a + 52a)

⇒ Rs. 65a 

According to question:

She then added Rs. 82500 with the total amount she borrowed from Krishna and Mohana together and lend to Soha at the rate of 10% simple interest.

(300a + 82500) at 10% SI for 1 year 

So, [(30a + 8250) – 65a] = 1725 

⇒ 6525 = 35a

⇒ a = 186.4285

So, r = 100a

⇒ 100 × 186.4285

⇒ 18642.85

The value of r is 18642.85.