Simple Interest Ques 14

Question-

A sum of ₹ 16800 is divided into two parts. One part is lent at the simple interest of $6 \%$ per annum and the other at $8\%$ per annum. After 2 years total sum received is ₹ 19000 . The sum lent at $6 \%$ of simple interest is

(1) ₹ 12200

(2) ₹ 12000

(3) ₹ 11000

(4) ₹ 10000

(5) None of these

(IBPS Bank PO/MT CWE-III 26.10.2013)

Show Answer

Correct Answer: (1)

Solution: (1)

Let, Sum lent at $6 \%$ rate of interest $= \text{₹} x$

$ \text { S.I. }=19000-16800 $ $ = \text{₹} 2200 $

$ \therefore \frac{x \times 6 \times 2}{100}+\frac{(16800-x) \times 8 \times 2}{100}$ $ =2200 $

$ \Rightarrow 12 x+16800 \times 16-16 x $ $ =220000 $

$ \Rightarrow 4 x=268800-220000 $

$ \Rightarrow 4 x=48800 $

$ \Rightarrow x= \text{₹} 12200$