Question

The price of a scooter was $ 34,000 $ last year. It has increased by $ 25\% $ this year. Then the increase in price is _______

Answer 1

Hint: Here we will first find out the value of the $ 25\% $ of the scooter’s price and then will add that value with the original scooter’s price which will give the resultant increased price of the scooter. Here we will convert the given percentage in the form of the fraction while simplifying the expression.

Complete step by step solution:
Here we are given that the price of the scooter last year was $ = 34000 $ Rs.
Also, given that the price has increased by $ 25\% $ this year.
So, first we will find the value of the $ 25\% $ of Rs. $ 34000 $
Here of suggests the multiplication –
 $ = 25\% \times 34000 $
Convert the above percentage in the form of the fraction –
 $ = \dfrac{{25}}{{100}} \times 34000 $
Common factors from the numerator and the denominator cancel each other.
 $ = 25 \times 340 $
Simplify finding the product of the terms in the above expression –
 $ = 8500 $ Rs.
Now, the increase in the price of the scooter $ = 34000 + 8500 $ Rs.
Simplify the above expression finding the sum of the terms
Hence, the increase in the price of the scooter $ = 42,500 $ Rs.
So, the correct answer is “42,500 Rs”.

Note: After finding the rate of percentage on any article, always remember the proper sign or the operator to find the resultant value. If the price is increased then add the value with the original price of the article and if the price is decreased then subtract the value with the original value. Be good in multiplications and the division of the terms.