Question

The price of a fan increased from Rs 3260 to Rs 3749. Find the increase per cent in its price.

Answer 1

Hint: To find the increase per cent in the price of the fan, we have to consider the original price to be Rs 3260 and the new price as Rs 3749. Then we have to find the increase in price which is the result of the original price subtracted from the new price. Then, we have to find the increase percentage of the price by dividing the increase in price by the original price and then multiplying it with 100.

Complete step by step solution:
We are given that the price of a fan increases from Rs 3260 to Rs 3749. Let us denote the original price to be Rs 3260. From the given data, we can write the new price as Rs 3749. Let us first find the increase in price. For this, we have to subtract the original price from the new price.
$\Rightarrow ~\text{increase in price = New price -Original price}$
$\Rightarrow \text{Increase in price}=\text{Rs }3749-\text{Rs }3260=\text{Rs }489$
Now, we have to find the increased percentage of the price. This is done by dividing the increase in price by the original price and then multiplying it with 100.
$\Rightarrow \text{Increase Percentage}=\dfrac{\text{Increase}}{\text{Original Price }}\times 100$
Let us now substitute the values in the above formula.
$\Rightarrow \text{Increase Percentage}=\dfrac{489}{3260}\times 100$
Let us cancel the 0 from 100 and the denominator.
$\Rightarrow \text{Increase Percentage}=\dfrac{489}{326}\times 10$
We have to divide 489 by 326.
$\Rightarrow \text{Increase Percentage}=1.5\times 10$
Let us multiply 1.5 by 10.
$\Rightarrow \text{Increase Percentage}=15\%$

Hence, the increase in price is 15%.

Note: Students must not forget to put the percentage sign (%) after finding the increase percentage. They must not subtract the new price from the original price to obtain the increase in price. Similar to an increased percentage, if the prices were declined, we can find the decreased percentage. For this, the decrease will be obtained by subtracting the new number from original number, that is,
\[\text{Decrease = Original number -New number}\]
Hence, we can find the decrease percentage by dividing the decrease by the original number and then multiplying by 100.
$\Rightarrow \text{Decrease Percentage}=\dfrac{\text{Decrease}}{\text{Original Number }}\times 100$