A sum of Rs. 2500 is lent out in two parts, one at 12% p.a.

A sum of Rs. 2500 is lent out in two parts, one at 12% p.a.
Posted on 20-04-2023

Ques - A sum of Rs. 2500 is lent out in two parts, one at 12% p.a. and another at 12.5% p.a. for one year. If the total annual income is Rs. 306, the money lent at 12% is :

(a) 1000

(b) 1200

(c) 1500

(d) 1300

Solution - 

Given,

Total Annual income = 306

Total Principal = 2500

R1 = 12%

R2 = 12.5%

T1 = 1

T2 = 1

P1 = X

P2 = 2500 - X

(P1×R1×T1) / 100 + (P2×R2×T2) / 100 = 306

(X × 12 × 1) / 100 + [(2500 - X) × 12.5 × 1] / 100 = 306

(12X / 100) + [(2500 - X) 12.5  / 100] = 306

12X + 31250 - 12.5X = 306 × 100

-0.5X = 30600 - 31250

0.5X = 650

X = 650 / 0.5

X = 1300

Therefore,

The money lent at 12% is 1300.

Hence,

The correct answer is option (d) 1300.

Thank You