Question

A 15% of increase in the price of a saree is Rs. 115. What is the original price of the saree?

Answer 1

Hint: First we will let the original price of the saree as x. The increase in price of saree is by 15%. So, the price of saree given in the question is equal to the original price of saree plus the extra price by 15%. Which means that the cost of the saree is 115% of the original cost.

Complete step-by-step solution:
We will let the original cost of saree equal to x.
The price given of saree is the original price and the amount of increased price. So, the price Rs. 115 is 100% of original price and 15% of increased price. Which means that the price is 115% of the original price of the saree. So, making the required equation.
$115\% \times x = 115$
$\Rightarrow \dfrac{{115}}{{100}} \times x = 115$
We will separate the variable terms from other terms.
$x = \dfrac{{115 \times 100}}{{115}}$
$\Rightarrow x = 100$.
So, the original price of the saree is Rs. 100.

Note: The original price is the price before adding a profit or before deductions.
Rules to find the original price given the sale price and increased percent.
> First consider the unknown original price as ‘x’.
> Then consider the rate of discount.
> To find the actual increase, multiply the increase rate by the original amount ‘x’.
> To find the original price, add the actual increase from the original amount ‘x’ and equate this to the given sale price.
> Solve the equation and find the original amount ‘x’.