NIMCET 2020
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?
Answer (Detailed Solution Below)View answer ▾Hide ▴
Answer: Option A — 272
Detailed Solution
Failures = 100% − 78% = 22% of the students = 176, so .
First class = 34% of 800 = 272.
✓ Check
624 students passed, and 272 of them got first class; 624 + 176 = 800.⚠ Common trap
Taking 34% of the 624 who passed gives about 212, close to (C) 210, but the 34% is of all 800 students.Quick tip
💬 Discussions on this question
Ask a doubt ›Still stuck on this question? Ask our faculty and fellow students — answers appear here.
Ask a doubtMore Percentage Questions
View all ›- 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?
- 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.)
- Q3.A number was increased by 20% and then again it was increased by 20%. By what percent should the increased number be reduced so as to get back the original number?
- Q4.Sham purchased a Maruti van for Rs. 1,96,000 Rate of fall of price per year of this van is %. What will be its price after two years?
- Q5.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?
More Quantitative Aptitude Questions
- Q1.By selling 45 lemons for ₹40, a man loses 20%. How many lemons should he sell for ₹24 to gain 20%?Profit, Loss & Discount
- Q2.The marked price of an article is 1.45 times its cost price. Its selling price is ₹1,500 and the profit is 25%. What is the discount percentage? Profit, Loss & Discount
- Q3.Let A be a real number. Then the roots of the equation are real and distinct if and only if Quadratic Equations
- Q4.The number of distinct real roots of the equation is Quadratic Equations
- Q5.The roots of are:Quadratic Equations
Percentage — Preparation
This question tests your understanding of Percentage, a key topic in the Quantitative Aptitude section. The detailed solution above uses a step-by-step approach to show the reasoning, and where available, a shortcut that helps you solve similar questions in under 90 seconds during the actual exam.
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.