Question

Sham borrowed some amount from Sohan for 2 yrs at simple interest.He lent the same amount to Swapnil for 2 yrs at compound interest.At the end of 2 yrs, Sham recieved 110 from Swapnil as interest.Out of which he had to pay rs 100 to Soham for interest.Find the principal and rate of interest.

Frnds plz answer for 50 pts
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Answer 1

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Here is your answer in the attachment



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Answer 2

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Here is your answer
For Sohan
Let the principal is x
SI ,= PRT/100
$100 = \frac{x \times r \times 2}{100} \\ x = \frac{100 \times 100}{2r} \\ x = \frac{5000}{r}$
Now For Swapnil
Principal = x
CI = 110
AS WE KNOW THE FORMULA
CI = P{(1+R/100)- 1}
$110 = \frac{5000}{r} ((1 + \frac{r}{100} ) {}^{2} - 1) \\ \frac{110r}{5000} = (1 + \frac{ {r}^{2} }{10000} + \frac{2r}{100} - 1) \\ \\ \frac{11r}{500} = \frac{ {r}^{2} + 200r}{10000} \\ \\ 1100r = 5 {r}^{2} + 1000r \\ 5 {r}^{2} + 1000r - 1100r = 0 \\ 5 {r}^{2} - 100r = 0 \\ 5r(r - 20) = 0 \\ r = 0 \: and \: 20$
Therefore Rate of interest = 20%
P = 5000/20
= ,Rs 250


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