Simple Interest Ques 17

Question-

The sum invested in scheme B is twice the sum invested in scheme A. Investment in scheme A is made for 3 years at $8 \%$ p.a. simple interest and in Scheme B for 2 years at $9 \%$ p.a. simple interest. The total interest earned from both the schemes is Rs. 1800. How much was invested in Scheme A ?

(1) Rs. 4000

(2) Rs. 3500

(3) Rs. 3000

(4) Rs. 2500

(5) Rs. 4500

(IBPS Bank PO/MT CWE-V (Preliminary) 04.10.2015)

Show Answer

Correct Answer: (3)

Solution: (3)

Amount invested in scheme $A=$ Rs. $x$ (let).

$\therefore$ Amount invested in scheme B $=$ Rs. $2 x$

S.I. $=\frac{\text { Principal } \times \text { Time } \times \text { Rate }}{100}$

According to the question,

$\frac{x \times 3 \times 8}{100}+\frac{2 x \times 2 \times 9}{100}=1800$

$\Rightarrow \frac{24 x+36 x}{100}=1800$

$\Rightarrow 60 x=180000$

$\Rightarrow x=\frac{180000}{60}=$ Rs. 3000