Question

the price of rice increased by 10% If the new price is Rs 50 per kg find the old price

Answer 1

Let original price be x rupees.

10 pecent of x + x =50

10x/100 + x = 50

x/10 + x = 50

(x + 10x)/10 = 50

11x = 500

x = 500/11 = 45.45rupees

Answer 2

Given:

The price of rice increased by 10% and the new price is Rs 50 per kg.

To find:

The old price of rice.

Solution:

The old price of rice was 45.45 Rs. per Kg.

To find the answer, we will do the following steps:

Let the original price of rice be x Rs per Kg.

Now, as given, we have,

The percentage by which the price of rice is increased = 10℅

So, the new price

$= x + \frac{10}{100} x \: \: (i)$

Also given,

The new price of rice = Rs. 50 per Kg (ii)

So,

Equating (i) and (ii), we have

$x + \frac{10}{100} x = 50$

$x + \frac{1}{10} x = 50$

Taking 10 as LCM, we get

$\frac{11x}{10} = 50$

On solving the above, we get

$11x = 500$

$x = 45.45 \: Rs. per \: kg$

Hence, the original price of rice was 45.45 Rs./Kg.