Question

the difference between C.I. and S.I. for 3 years at 10% per annum is RS 62 . Find the sum​

Answer 1

Answer:

Let sum x

Now use formulas for simple and compound interest

$(x(1 + \frac{10}{100}) {}^{3} - x) - \frac{x \times 3 \times 10}{100} = 62 \\ \\ \frac{11 \times 11 \times 11}{1000} x - x - \frac{3x}{10} = 62 \\\\ x( \frac{1331 - 1000 - 300}{1000} ) = 62 \\ \\x = \frac{62 \times 1000}{31} = 2000$

Answer 2

The principal is Rs.60.135

Step-by-step explanation:

Let the principal be x

Case 1:

Principal = x

Time = 3 years

Rate of interest = 10%

$A=P(1+r)^t \\A=x(1+0.1)^3\\A=1.331x$

Compound interest = Amount - Principal = 1.331 x -x = 0.331x

Case 2 :

Principal = x

Time = 3 years

Rate of interest = 10%

$SI = \frac{P \times T \times R}{100}\\SI = \frac{x \times 3 \times 10}{100}\\SI=0.3x$

We are given that the difference between C.I. and S.I. for 3 years at 10% per annum is RS 62

So, $1.331x-0.3x=62$

$1.031x=62$

$x=\frac{62}{1.031}$

$x=60.135$

Hence The principal is Rs.60.135

#Learn more:

The difference of s.I and c.I on a sum at 5% per annum for 3 years is rs. 1525. Find the sum

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