Simple Interest Ques 2

Question-

Ronnie invested Rs. P in a scheme A offering simple interest at $12 \%$ per annum for two years. He invested the whole amount he received from scheme $A$, in another scheme B offering simple interest $15 \%$ per annum for two years. If the difference between the interest earned from scheme A and B was Rs. 264, what is the value of $P$ ?

(1) 2640

(2) 2500

(3) 2250

(4) 1800

(5) 2000

(IBPS Bank PO/MT CWE (Pre), 16.10.2016 (First Sitting))

Show Answer

Correct Answer: (5)

Solution: (5)

Case I,

S.I. $=\frac{\text { Principal } \times \text { Time } \times \text { Rate }}{100}$ $=\frac{P \times 2 \times 12}{100}=$ Rs. $\frac{24 P}{100}$

$\therefore$ Amount $=$ Rs. $\left(P+\frac{24 P}{100}\right)$ $=$ Rs. $\frac{124 P}{100}$

Case II,

S.I. $=\frac{124 P \times 15 \times 2}{100 \times 100}$ $=$ Rs. $\frac{372 P}{1000}$

According to the question,

$\frac{372 P}{1000}-\frac{24 P}{100}=264$

$\Rightarrow \frac{372 P-240 P}{1000}=264$

$\Rightarrow 132 P=264 \times 1000$

$\Rightarrow P=\frac{264 \times 1000}{132}$ $=$ Rs. 2000