Percentage Question sheet 1
- Jul 13, 2025
- 5 min read
Updated: 4 days ago
Percetage Question Practise sheet 1
Q.1 If p is 42.84% more than 49, then p
a.21
b.50
c.70
d.80
Q.2 If a is 25% more than b, then b is what % less than a
a.10%
b.20%
c.25%
d.30%
Q.3 If a is 55.55% less than b, b is what % more than a
a.50%
b.75%
c.100%
d.125%
Q.4 A student has to obtain 40% of the total marks to pass. He got 120 marks and failed by 40 marks. Find the maximum marks.
a.120
b.160
c.320
d400
Q.5 If the price of a book is first decreased by 30% and then increased by 30%, then the net change in the price will be
a.No change
b.increased by 1%
c.decreased by 1%
d.decreased by 9%
Q.6 In a class of 80 students, 37.5 % are girls and rest are boys. Find the number of boys in the class?
a.30
b.50
c.60
d.None of these
Q.7 Two friends, Akash & Beenu had some candies each. One of them had 15 candies more than the other. The candies with Akash was 60% of the total candies with them. How many candies did each have?
a.40, 25
b.47, 32
c.45, 30
d.49, 34
Q.8 What percentage of numbers from 1 to 30 has 1 or 9 in the unit's digit?
a.12%
b.15%
c.20%
d.25%
Q.9 A man spends 75% of his income. If his income increases by 28% and his expenditure increases by 20%, then what is the increase or decrease percentage in his saving?
a.52% increase
b.13% decrease
c.13% increase
d.52% decrease
Q.10 The income of Prashansa is 10% less than the income of Janvi, and the income of the Janvi is 10% more than Rs. 3000. The income of Prashansa is:
a.Rs. 3,300
b.Rs. 3,070
c.Rs. 2,700
d.Rs. 2,970
Q.11 In a class there are 60% female students. If 80% of females and 70% of males went for a trip, what percent of total class go for the trip?
a.75%
b.74%
c.78%
d.76%
Q.12 If A is 55% less than B and C is 60% of the sum of A and B, then by what percentage is C lesser than B?
a.10%
b.13%
c.15%
d.18%
Q13 A certain type of virus reproduces at a rate of 40% every 10 minutes. How much time is required for the virus to double its number?
a.20-30 minutes
b.10-20 minutes
c.30-40 minutes
d.40-50 minutes
Q.14 Two numbers are respectively 25% and 65% more than a third number. The ratio of the two numbers is:
a.16 : 17
b.16 : 19
c.25 : 33
d.25 : 42
Q.15 After two successive hikes of 10% and 15%, in the salary, Rajiv now gets Rs. 18975 per month. What was his salary before the two hikes
a.Rs. 14500
b.Rs.14000
c.Rs. 15000
d.Rs. 15500
Q.16 Suman saves 10% of her monthly salary. Now her expenditure increases by 30% and savings increases by 50%. The present increase in her salary is?
a.25%
b.30%
c.32%
d.40%
Q.17 The sum of 35% of a number and 30% of the same number is 4056. What is 75% of that number?
a.4600
b.4650
c.4680
d.4950
Q.18 In a village,15% of the population are females and there are 272 males. Find the total population of that village.
a.320
b.380
c.400
d.420
Q.19 Find the value of x, if 30% of 400 + x% of 70 = 25% of 536.
a.10
b.40
c.30
d.20
Q.20 20% of a number when subtracted from 108, gives the number itself. Find the number.
a.80
b.90
c.100
d.110
Q.21 Numerator of a fraction is increased by 60%, and at the same time its denominator is decreased by 60%. The new fraction is:
a.2.56 times the older fraction
b.Equal to the older fraction
c.0.36 times the older fraction
d.4 times-the older fraction
Q.22 The difference between two positive numbers is equal to 30% of the greater number. If the smaller number is 28, then the sum of both the numbers is:
a.40
b.65
c.68
d.72
Q.23 The difference between a number and one-third of that number is 228. What is 20% of that number?
a.72.5
b.68.4
c.58.9
d.61.8
Answers For Arrangement Questions for CAT
Frequently Asked Questions — Percentages for CAT & IPMAT 2026
What is the basic percentage formula?
Percentage = (Value / Total Value) × 100. To find x% of a number N: (x/100) × N. To find what percent A is of B: (A/B) × 100. These three forms cover 90% of CAT percentage questions.
What is the percentage change formula?
Percentage Change = [(New Value - Old Value) / Old Value] × 100. If positive, it is an increase; if negative, it is a decrease. CAT frequently tests this in back-to-back change questions.
How do successive percentage changes work?
For two successive changes of a% and b%, the net change = a + b + (ab/100)%. Example: +20% then -20% gives net change = 20 + (-20) + (20×(-20)/100) = -4%. The result is always a net loss when equal % increase and decrease are applied.
What is the multiplier method for percentage problems?
Instead of calculating percentage separately, use multipliers. A 20% increase → multiply by 1.2. A 15% decrease → multiply by 0.85. For successive changes, multiply the factors: 1.2 × 0.85 = 1.02 → net 2% increase.
How is percentage used in data interpretation?
In DI, percentage questions involve computing growth rates, market share, contribution to total, and year-on-year change. Always identify the base clearly before computing percentage. Approximation techniques save time in CAT DI sets.
What is percentage point vs percentage change?
Percentage point is an absolute difference between two percentages. If pass rate increases from 60% to 75%, it is a 15 percentage point increase but a 25% relative increase [(15/60)×100]. CAT and IPMAT test this distinction carefully.
How do I solve population growth / depreciation problems?
Use the formula: Final Value = Initial Value × (1 ± r/100)^n where r is rate per period and n is number of periods. For population increasing at 10% per year for 3 years: Final = P × (1.1)^3 = 1.331P.
What are common CAT-level percentage tricks?
Key tricks: (1) 1/6 ≈ 16.67%, 1/7 ≈ 14.28%, 1/8 = 12.5% — memorise fractions. (2) If A is x% more than B, then B is [x/(100+x)]×100% less than A. (3) In income-expenditure problems, if income rises by a% and expenditure by b%, savings change can be found using the formula.
How many percentage questions appear in CAT?
Percentages appear in 3-5 questions per CAT, both in standalone QA and embedded in DI sets. IPMAT typically has 2-4 direct percentage questions. It is a foundational topic — mastering it speeds up P&L, SI/CI, and ratio problems significantly.
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