Question

mahesh borrowed a certain sum for 2 years at simple interest from bhim
Mahesh lend this sum to Vishnu at same rate for 2 years compound interest. at the end of 2 years Mahesh receive 410 rupees and as compound interest but paid 400 Rupees at simple interest.find the sum

Answer 1

Answer:

The sum is 4000 Rupees

Step-by-step explanation:

Compound interest = $p(1+\frac{r}{100} )^{2} -p = 410$    (i)

Simple interest = $\frac{2Pr}{100} =400$  

From which:

$r =\frac{20000}{p}$     (ii)

Substitute r in (i)

$p(1+\frac{20000}{p} /100)^{2} -p =410$

Expand and simplify:

p+400 + 40000/p - p = 410

p = 4,000

∴ The amount is 4,000 Rupees