Question

A sum amounts to rs 5500 in 1 year at 10% per annum.The sum is?​

Answer 1

Answer:

P= Ax 100/100 + rt

= 5500 X 100/100 + | 0 X 1

= 5500 X 100/110 = 5000

Sum P= Rs 5000

Answer 2

The sum is Rs. 5000

Given :

A sum amounts to Rs. 5500 in 1 year at 10% per annum.

To find :

The sum

Formula Used :

In case of Simple interest

Principal = P

Interest = I

Time = t

Rate of interest = r %

$\displaystyle \sf{}I = \frac{Prt}{100}$

Amount = P + I

Solution :

Step 1 of 2 :

Form the equation to calculate the sum

Let the sum is Rs. P

Principal = P = ?

Amount = Rs. 5500

Interest = I = Rs. (5500 - P)

Time = t = 1 year

Rate of interest = r % = 10%

We know that in case of simple interest

$\displaystyle \sf{}I = \frac{Prt}{100}$

$\implies \displaystyle \sf{}(5500-P)= \frac{P \times 10 \times 1}{100}$

Step 2 of 2 :

Calculate the sum

$\displaystyle \sf (5500-P)= \frac{P \times 10 \times 1}{100}$

$\displaystyle \sf{ \implies }(5500-P)= \frac{P }{10}$

$\displaystyle \sf{ \implies }P = 10(5500 - P)$

$\displaystyle \sf{ \implies }P = 55000 - 10P$

$\displaystyle \sf{ \implies }P + 10P= 55000$

$\displaystyle \sf{ \implies }11P = 55000$

$\displaystyle \sf{ \implies }P = 5000$

Hence the required sum is Rs. 5000

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