Question

If the difference between the simple interest and compound interests on some principal amount at
20% for 3 years is Rs. 48, then the principal amount is
(A) Rs. 648
(B) Rs. 375
(C) Rs. 600
(D) Rs. 350​

Answer 1

Answer:

$\purple{ \boxed{ \boxed{ \bold{B)Rs.375}}}}$

Step-by-step explanation:

$\green{ \mathfrak{ \underbrace{Solution}}}$

Let principal amount be Rs.100.

Then, S.I.

$\frac{100 \times 20 \times 3}{100} = Rs.60$

and C.I.

$100(1 + \frac{20}{100} ) {}^{3} - 100 \\ = 100 \times (\frac{6}{5} ) {}^{3} - 100 \\ = \frac{364}{5}$

∴ C.I. - S.I.

$\frac{364}{5} - 60 = \frac{64}{5}$

if difference is Rs. 64/5 , Principal is Rs. 100

If difference is Rs.48

Principal is,

$\frac{100 \times 5}{64} \times 48 = Rs.375$

Hence the answer is Rs. 375

❣Hope this helps you✌