Percentages Aptitude basics, practice questions, answers and explanations
Preparefor companies tests and interviews
Percentage= (Sum of quantities)/(Number of quantities)
Percentage increase by x%= ((x+100)/100)*Initial
Percentage decrease by x%= ((100-x)/100)*Initial
Some common percentage conversions
Fraction | Decimal | Percent |
1/2 | 0.5 | 50% |
1/3 | 0.333… | 33.333…% |
2/3 | 0.666… | 66.666…% |
1/4 | 0.25 | 25% |
3/4 | 0.75 | 75% |
1/5 | 0.2 | 20% |
2/5 | 0.4 | 40% |
3/5 | 0.6 | 60% |
4/5 | 0.8 | 80% |
1/6 | 0.1666… | 16.666…% |
5/6 | 0.8333… | 83.333…% |
1/8 | 0.125 | 12.5% |
3/8 | 0.375 | 37.5% |
5/8 | 0.625 | 62.5% |
7/8 | 0.875 | 87.5% |
1/9 | 0.111… | 11.111…% |
2/9 | 0.222… | 22.222…% |
4/9 | 0.444… | 44.444…% |
5/9 | 0.555… | 55.555…% |
7/9 | 0.777… | 77.777…% |
8/9 | 0.888… | 88.888…% |
1/10 | 0.1 | 10% |
1/12 | 0.08333… | 8.333…% |
1/16 | 0.0625 | 6.25% |
1/32 | 0.03125 | 3.125% |
Exercise questions
1. A trader makes a profit equal to the selling price of 75articles when he sold 100 of the articles. What % profit did he makein the transaction?
A) 33.33%
B) 75%
C) 300%
D) 150%
2. A merchant buys two articles for Rs.600. He sells one of themat a profit of 22% and the other at a loss of 8% and makes no profitor loss in the end. What is the selling price of the article that hesold at a loss?
A) Rs. 404.80
B) Rs. 440
C) Rs. 536.80
D)Rs. 160
3.A trader professes to sell his goods at a loss of 8% but weights900 grams in place of a kg weight. Find his real loss or gainpercent.
A) 2% loss
B) 2.22% gain
C) 2% gain
D) None ofthese
4. Rajiv sold an article for Rs.56 which cost him Rs.x. If he hadgained x% on his outlay, what was his cost?
A) Rs. 40
B) Rs.45
C) Rs. 36
D)Rs. 28
5. A trader buys goods at a 19% Amount on the label price. If hewants to make a profit of 20% after allowing a Amount of 10%, by what% should his marked price be greater than the original labelprice?
A) +8%
B) -3.8%
C) +33.33%
D) None of these
6. If apples are bought at the rate of 30 for a rupee. How manyapples must be sold for a rupee so as to gain 20%?
A) 28
B)25
C) 20
D) 22
7. Two merchants sell, each an article for Rs.1000. If Merchant Acomputes his profit on cost price, while Merchant B computes hisprofit on selling price, they end up making profits of 25%respectively. By how much is the profit made by Merchant B greaterthan that of Merchant A?
A) Rs.66.67
B) Rs. 50
C) Rs.125
D)Rs.200
8. A merchant marks his goods in such a way that the profit onsale of 50 articles is equal to the selling price of 25 articles.What is his profit margin?
A) 25%
B) 50%
C) 100%
D)66.67%
9. A merchant marks his goods up by 75% above his cost price. Whatis the maximum % Amount that he can offer so that he ends up sellingat no profit or loss?
A) 75%
B) 46.67%
C) 300%
D) 42.85%
10. The price of a T.V. is increased 30% before budget and inbudget 20% is also increased. Then total increase in price will be
A)50%
B) 56%
C) 55%
D) 59%
Answer Key
1.C; 2.A; 3.B; 4.A; 5.A; 6.B; 7.B; 7.B; 8.C; 9.D; 10.B