Out of a sum of Rs. 625, a part was lent at 5% SI and the other at 10% SI.

Out of a sum of Rs. 625, a part was lent at 5% SI and the other at 10% SI.
Posted on 20-04-2023

Ques - Out of a sum of Rs. 625, a part was lent at 5% SI and the other at 10% SI. If the interest on the first part after 2 years is equal to the interest on the second part after 4 years, then the second sum (in Rs.) is : 

(a) 250

(b) 300

(c) 125

(d) 275

Solution - 

Given,

Total Principal = 625

R1 = 5%

R2 = 10%

T1 = 2

T2 = 4

P2 = ?

(P1×R1×T1) / 100 = (P2×R2×T2) / 100

(P1×5×2) / 100 = (P2×10×4) / 100 

P1/P2 = 4/1

P1 : P2 = 4 : 1

So,

P2 = 625 (1/5)

P2 = 125

Therefore,

The second principal is Rs. 125.

Hence,

The correct answer is option (c) 125.

Thank You