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ratio-proportion-percentage-profit-loss-l2 MCQ - Practice Questions with Answers

Solve 30 ratio-proportion-percentage-profit-loss-l2 questions for RAS/RPSC preparation.

Practice questions

Q1A sum of 560 rupees is divided between Asha and Imran in the ratio 3:4. What is Imran's share?

A 180 rupees
B 240 rupees
C 320 rupees
D 420 rupees
Explanation

Proportional division first turns the total into ratio parts: 3 plus 4 equals 7 parts. One part is 560 divided by 7, or 80 rupees, so Imran's 4 parts make 320 rupees; the traps either pick Asha's part or use the wrong denominator.

Q2Asha mixes red and blue counters in the ratio 3:5. If she uses 24 red counters, how many blue counters are needed for the same proportion?

A 40
B 32
C 15
D 29
Explanation

Asha must scale both parts of the ratio by the same factor. Since 3 red parts become 24 red counters, one part is 8 counters. The blue side has 5 parts, so 5 x 8 = 40. This checks proportional reasoning, not addition.

Q3A value depreciates by 20% from 500. Which statement is correct?

A New value is 480 because 20 is subtracted from 500.
B New value is 600 because depreciation adds value.
C New value is 400 because 20% of 500 is 100.
D New value cannot be found without selling price.
Explanation

Depreciation means a percentage decrease in value. Here the base is the earlier value, 500. Twenty percent of 500 is 100, so the new value is 500 - 100 = 400. Asha should not treat the word depreciation as a selling-price problem.

Q4A toy is bought for 120 and sold for 150. Assertion: profit percentage is 25%. Reason: profit percentage is calculated on cost price.

A Both assertion and reason are true, and the reason explains the assertion.
B Both are true, but the reason does not explain the assertion.
C Assertion is true, reason is false.
D Assertion is false, reason is true.
Explanation

Profit is 150 - 120 = 30. Profit percentage is normally measured on cost price, so 30/120 x 100 = 25%. This is the exact base trap Devika must notice in REET MCQs.

Q5Consider the two statements about teaching percentages in Class 6 to 8. Statement I: Before calculating a percentage, students should ask, percentage of what? Statement II: If 12 students out of 40 are absent, the absentee percentage is 12%. Which option is correct?

A Both Statement I and Statement II are correct.
B Statement I is incorrect and Statement II is correct.
C Statement I is correct and Statement II is incorrect.
D Both Statement I and Statement II are incorrect.
Explanation

Statement I is correct because percentage always depends on a base quantity. Statement II is incorrect: 12 out of 40 equals 12/40 x 100 = 30%, so the trap is treating the amount 12 as the percent.

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More questions

6A teacher has 18 boys and 12 girls in a class. Which combination of statements is correct? I. The ratio of boys to girls is 3:2. II. Girls are 40% of the class. III. The ratio of girls to total students is 3:2.

AI and II only
BI and III only
CII and III only
DI, II and III

7Which pair of ratios forms a proportion?

A3:5 and 9:15
B4:7 and 12:18
C5:8 and 10:18
D6:11 and 18:30

8Which statement best explains the meaning of percentage?

AA percentage is a comparison with base 100.
BA percentage is always the same as the total quantity.
CA percentage is calculated only when money is involved.
DA percentage has no need for a base quantity.

9Match the term with its usual base: 1 Discount, 2 Profit percentage, 3 Population growth, 4 Depreciation.

A1 sale price, 2 selling price, 3 new population, 4 new value
B1 marked price, 2 cost price, 3 original population, 4 earlier value
C1 cost price, 2 marked price, 3 original population, 4 earlier value
D1 marked price, 2 selling price, 3 new population, 4 earlier value

10Which statement about a 10% increase followed by a 10% decrease is correct?

AIt returns exactly to the original value.
BIt becomes 99% of the original value.
CIt becomes 90% of the original value.
DIt becomes 101% of the original value.

11A shirt has a marked price of 800 rupees and is sold for 680 rupees. What is the discount percentage?

A12%
B15%
C17.65%
D85%

12In a group, the number of red counters is 12 and the number of blue counters is 18. What is the ratio of red counters to blue counters in simplest form?

A2:3
B3:2
C12:30
D18:30

13In a class, boys:girls = 3:2. If 40% of the girls join a mathematics club, what fraction of the whole class are those girls?

A2/5
B4/25
C3/5
D1/5

14Which of the following is incorrect about discount and percentage base?

ADiscount equals marked price minus sale price.
BDiscount percentage is calculated on marked price.
CA percentage always needs a base quantity.
DDiscount percentage is calculated on cost price.

15A learner says, "30% means 30 marks, so 30% of any test is 30 marks." What should a mathematics teacher do first?

AAgree, because 30% always gives the amount 30.
BAsk, "30% of what total?" and compare 30 out of every 100 of that base.
CTell the learner to avoid percentages and use only fractions.
DSubtract 30 from the total marks before discussing the meaning of percent.

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