Percentage Questions with Solutions
A percentage expresses a number as a fraction of 100. It is one of the most important topics in quantitative aptitude because profit and loss, simple and compound interest, data interpretation and many word problems are built on it. Questions test percentage increase and decrease, successive percentage changes, the effect of a price change on consumption or expenditure, population growth, election and examination results, and comparisons such as "by what percent is A more than B". Learning fraction equivalents (1/6 = 16.67%, 1/7 = 14.28%, 1/9 = 11.11% and so on) lets you avoid long division. For two successive changes of a% and b%, the net change is a + b + ab/100, a formula that saves time in many questions. Work through the percentage questions below. Each one has a step-by-step solution and, where possible, a fraction-based shortcut.
- Q1.
A researcher found that 70% of people who own a cat also own a dog, but only 20% of dog owners also own a cat. If there are 1001 dog owners, how many cat owners are there?
A. 254B. 286C. 453D. 771easyAsked in NIMCET 2026View solution › - Q2.
Suppose the price of liquefied petroleum gas (LPG) increases by 16%. By what percentage should the household reduce its consumption of LPG to keep the expenditure on LPG at the same level? (Round to two decimals.)
A. 13.79%B. 15.26%C. 16.66%D. 33.3%easyAsked in NIMCET 2026View solution › - Q3.
In the half-yearly exam only 60% of the students passed. Of these, 70% passed in the annual exam, and of the remaining students (who failed in the half-yearly exam), 80% passed in the annual exam. What percentage of the students passed the annual exam?
A. 76%B. 65%C. 74%D. 72%easyAsked in NIMCET 2023View solution › - Q4.
In a city, 40% of the adults are illiterate while 85% of the children are literate. If the ratio of the adults to that of the children is 2:3, then what percent of the population is literate?
A. 20%B. 25%C. 50%D. 75%easyAsked in NIMCET 2020 +1View solution › - Q5.
In a competitive examination in Maharashtra state 9% candidates got selected from the total appeared candidates. Tripura state had an equal number of candidates appeared and 12% candidates got selected with 102 more candidates got selected than Maharashtra state. What was the number of candidates appeared from each state?
A. 3400B. 3000C. 2850D. 3200easyAsked in NIMCET 2020View solution › - Q6.
In an examination, 78% of the total students who appeared were successful. If the total number of failures was 176 and 34% got first class, then how many students got first class?
A. 272B. 112C. 210D. 254easyAsked in NIMCET 2020View solution › - Q7.
If the numerator of a fraction is increased by 25% and denominator decreased by 20%, the new value is 5/4. What is the original value?
A. B. C. D.easyAsked in NIMCET 2020View solution › - Q8.
Fresh grapes contain 90% water by weight while dried grapes contain 20% water by weight. What is the weight of dry grapes available from 20 kg of fresh grapes?
A. 2.5 kgB. 2.4 kgC. 2 kgD. 10 kgeasyAsked in NIMCET 2019View solution › - Q9.
A number, when increased by 15%, becomes 161. What is the original number?
A. 140B. 130C. 145D. 135easyAsked in NIMCET 2025View solution › - Q10.
The percentage change in the area of a rectangle on decreasing its length and increasing its breadth by 5% is
A. 0.25% decreaseB. 0.25% increaseC. no changeD. 2.5% increaseeasyAsked in NIMCET 2025View solution › - Q11.
If a number is increased by 30% and then decreased by 20%, what is the net change?
A. 8% increaseB. 6% decreaseC. 6% increaseD. 4% increaseeasyAsked in NIMCET 2025View solution ›