Question

find the compound interest at the rate of 10% p.a. for 4 years on the principle which in 4 years at the rate of 4%p.a. gives rs 1600 as simple interest

Answer 1

The compound interest at the rate of 10% for 4 years is 150000.
first SI=P×R×N÷100
1600=P×4×4÷100
P=10000
A=P [1+R÷100]n

A=160000

CI=A-P
=160000-10000
CI=150000

Answer 2

$\huge\boxed{\texttt{\fcolorbox{red}{aqua}{Hey Mate!!!}}}$
$<b><i><font face=Copper black size=4 color=blue>$
Here is your answer

Let the principal is x
R = 4%p.a
T = 4 years
SI = Rs 1600

As we know the formula
SI = PRT/100
$1600 = \frac{x \times 4 \times 4}{100} \\ \\ x = \frac{1600 \times 100}{4 \times 4} \\ \\ x = 10000$
Hence principal is Rs 10000
R = 10% p a
T = 4 years
n= 4

AS we know the formula
A = P(1+ R/100)^n
$= 10000 \times (1 + \frac{10}{100} ) {}^{4} \\ \\ = 10000 \times (1 + \frac{1}{10} ) {}^{4} \\ \\ = 10000 \times ( \frac{11}{10} ) {}^{4} \\ \\ = \frac{10000 \times 11 \times 11 \times 11 \times 11}{10 \times 10 \times 10 \times 10} \\ \\ = 14641$
Hence A = 14641
Now
CI = A - P
= 14641 - 10000
= 4641

Therefore Compound interest is Rs 4641


$\large{\red{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\underline{\underline{\underline{Hope\:it\:helps\: you}}}}}}}}}}}}}}}$

$\huge\boxed{\texttt{\fcolorbox{Red}{yellow}{Be brainly!!!}}}$

$<marquee>$
$\huge\bf{\red{\huge{\bf{@.....rajeev378}}}}$