One number is 120 more than the other, and it is 65% of the sum of them. What is the number?
A number is first increased by 40%, and thereafter it is reduced by 40% again. What is the overall reduction?
Let us derive the shortcut formula first, so that you can remember it and use it when the need arises. Suppose the number is 100, and let the increase be x%. The number becomes 100 + x. When it is reduced by x%, we get 100 + x - $((100 + x) × x)/100$ = 100 + x - $(x + x^2/100)$ = 100 - $x^2/100$, hence a reduction of $x^2/100$ = 16%
A shopkeeper sells 75% items of his stock and still has 200 items left with him. How many items did he have at the beginning?
The service tax is 5%. A person receives a telephone bill amounting to Rs. 525. How much was the bill excluding tax?
The sum of two numbers is 1712. One of them is 114% of the other. The smaller number is?
This Blog Post/Article "Percentages Quiz Set 003" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-10-26.