Maths question from Jr. Assistant exam, 2026 by JKSSB
The price of an article is reduced by 10%. By what percent should the new price be increased to get the original price?
Last updated May 15, 2026
Correct Answer:
Option C —
11 1/9%
To understand why, it helps to use a starting number like 100, which makes calculating percentages very straightforward.
Step-by-Step Breakdown
Find the reduced price:
Suppose the original price of the article is 100. If the price is reduced by 10 percent, you subtract 10 from 100. This leaves you with a new price of 90.
Determine the required increase:
To get back to the original price of 100 from the new price of 90, you need to add 10 back to it.
Calculate the percentage of the increase:
Now, you must figure out what percentage 10 is of the new price (90). To do this, you divide the increase (10) by the new price (90).
10 divided by 90 is the same as 1 divided by 9.
When you convert the fraction 1 over 9 into a percentage, it equals 11 and 1 over 9 percent.
Why it isn't 10 percent
A common mistake is to think that a 10 percent decrease can be reversed by a 10 percent increase. However, because the new price (90) is smaller than the original price (100), the 10 you are adding back represents a larger portion of the smaller number. Therefore, the percentage needed to go "back up" is always higher than the percentage used to go "down."
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
