CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06

Multiple Choice Questions (MCQs) for Class 10 Mathematics: Commercial Mathematics

Explore reliable objective questions for Commercial Mathematics tailored for Class 10 learners. Utilizing these Mathematics multiple-choice formats ensures thorough preparation and strengthens problem-solving speed for upcoming school assessments.

Practice Commercial Mathematics MCQs for Class 10 Mathematics

Navigate directly to the 50 objective questions for Commercial Mathematics using the digital viewer below. Each practice set includes verified answer keys, allowing students to instantly cross-check their work and identify areas requiring further revision.

Multiple Choice Questions

Question 1: Two-fifths of one-third of three-seventh of a number is 15. What is 40 percent of that number?
(a) 72
(b) 84
(c) 105
(d) 140
Show Answer & Explanation

Answer: (c) 105

Explanation:
1. (2/5)(1/3)(3/7) = 2/35, so the number = 15 × 35/2 = 262.5.
2. 40% of 262.5 = 105.

Teacher's Note:
1. Multiply the fractions first.

Question 2: An organisation has 32 members and hopes to increase the membership by 50% each year. How many members will it have in 5 years?
(a) 243
(b) 200
(c) 162
(d) 112
Show Answer & Explanation

Answer: (a) 243

Explanation:
1. 32 × (1.5)⁵ = 32 × 243/32 = 243.

Teacher's Note:
1. A repeated percentage increase is a power of the multiplier.

Question 3: When a number is divided by 12, the quotient becomes one-fourth of the other number. By what percent is the first number greater than the second?
(a) 150%
(b) 200%
(c) 300%
(d) Data inadequate
Show Answer & Explanation

Answer: (b) 200%

Explanation:
1. x/12 = y/4 gives x = 3y.
2. Excess = (3y − y)/y = 200%.

Teacher's Note:
1. Percentage excess = difference / base × 100.

Question 4: A tempo is insured to the extent of 4/5 of its original value. If the premium at the rate of 1.3 percent amounts to Rs. 910, the original value of the tempo is
(a) Rs. 78500
(b) Rs. 80000
(c) Rs. 82500
(d) Rs. 87500
Show Answer & Explanation

Answer: (d) Rs. 87500

Explanation:
1. Insured value = 910/0.013 = Rs. 70000.
2. Original value = 70000 × 5/4 = Rs. 87500.

Teacher's Note:
1. The premium is a percentage of the insured value, not the original value.

Question 5: Gauri bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, the cost of the tax-free items was
(a) Rs. 15
(b) Rs. 15.70
(c) Rs. 19.70
(d) Rs. 20
Show Answer & Explanation

Answer: (c) Rs. 19.70

Explanation:
1. Taxable cost = 0.30/0.06 = Rs. 5.
2. Tax-free items = 25 − 0.30 − 5 = Rs. 19.70.

Teacher's Note:
1. Find the taxable amount from the tax.

Question 6: A student needs 33% of the total marks to pass. He got 125 marks and failed by 40 marks. The maximum marks are
(a) 300
(b) 500
(c) 800
(d) 1000
Show Answer & Explanation

Answer: (b) 500

Explanation:
1. Pass marks = 125 + 40 = 165.
2. 165/0.33 = 500.

Teacher's Note:
1. Pass marks = obtained + shortfall.

Question 7: 10% of the voters did not vote in an election between two candidates and 10% of the votes polled were invalid. The winner got 54% of the valid votes and won by 1620 votes. The number of voters on the list was
(a) 25000
(b) 33000
(c) 35000
(d) 40000
Show Answer & Explanation

Answer: (a) 25000

Explanation:
1. The margin is 54% − 46% = 8% of the valid votes, so valid votes = 1620/0.08 = 20250.
2. Valid votes = 0.9 × 0.9 × N = 0.81N, so N = 20250/0.81 = 25000.

Teacher's Note:
1. Work from valid votes back to the voters.

Question 8: A scored 30% marks and failed by 15 marks. B scored 40% and obtained 35 marks more than required to pass. The pass percentage is
(a) 33%
(b) 38%
(c) 43%
(d) 46%
Show Answer & Explanation

Answer: (a) 33%

Explanation:
1. 0.3N + 15 = pass marks and 0.4N − 35 = pass marks, so 0.1N = 50 and N = 500.
2. Pass marks = 165, which is 33%.

Teacher's Note:
1. Equate the pass marks from both statements.

Question 9: In a survey, 40% of houses contained two or more people. Of the houses containing only one person, 25% had only a male. The percentage of all houses with exactly one female and no males is
(a) 15
(b) 45
(c) 75
(d) Can't be determined
Show Answer & Explanation

Answer: (b) 45

Explanation:
1. Single-person houses = 60%, of which 75% have a female: 0.6 × 0.75 = 45%.

Teacher's Note:
1. Take the complement within the single-person houses.

Question 10: 37½% of the candidates in an examination were girls. 75% of the boys and 62½% of the girls passed, and 342 girls failed. The number of boys who failed was
(a) 350
(b) 360
(c) 370
(d) 380
Show Answer & Explanation

Answer: (d) 380

Explanation:
1. Failed girls = 37.5% of the girls = 342, so there were 912 girls.
2. Candidates = 912/0.375 = 2432, so boys = 1520.
3. Boys failed = 25% of 1520 = 380.

Teacher's Note:
1. Find the number of girls first.

Question 11: 5/9 of the population of a village are males. If 30% of the males are married, the percentage of unmarried females in the total population is
(a) 20%
(b) 27⁷⁄₉%
(c) 40%
(d) 70%
Show Answer & Explanation

Answer: (b) 27⁷⁄₉%

Explanation:
1. Married females equal married males = 0.3 × 5/9 = 1/6 of the population.
2. Females = 4/9, so unmarried females = 4/9 − 1/6 = 5/18 = 27⁷⁄₉%.

Teacher's Note:
1. Each married man has one married woman.

Question 12: What percent decrease in salaries would exactly cancel out a 20 percent increase?
(a) 16⅔%
(b) 18%
(c) 20%
(d) 33⅓%
Show Answer & Explanation

Answer: (a) 16⅔%

Explanation:
1. Salary becomes 1.2. The decrease needed is 0.2/1.2 = 1/6 = 16⅔%.

Teacher's Note:
1. The decrease is on the new, larger value.

Question 13: In a fraction, the numerator is increased by 40% and the denominator by 80%. The new fraction is what fraction of the original?
(a) 1/2
(b) 7/9
(c) 7/18
(d) Data inadequate
Show Answer & Explanation

Answer: (b) 7/9

Explanation:
1. New/old = 1.4/1.8 = 7/9.

Teacher's Note:
1. Multiply by the ratio of the multipliers.

Question 14: The price of wheat falls by 16%. By what percentage can a person increase the consumption of wheat so that the overall budget does not change?
(a) 16%
(b) 18%
(c) 18.5%
(d) 19%
Show Answer & Explanation

Answer: (d) 19%

Explanation:
1. New price is 0.84, so the consumption multiplier is 1/0.84 ≈ 1.19.
2. The increase is about 19%.

Teacher's Note:
1. Spending = price × quantity.

Question 15: A's income is 25% more than B's income. B's income in terms of A's income is
(a) 75%
(b) 80%
(c) 90%
(d) 96%
Show Answer & Explanation

Answer: (b) 80%

Explanation:
1. A = 1.25B, so B = A/1.25 = 80% of A.

Teacher's Note:
1. The base changes when you reverse the comparison.

Question 16: Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruit?
(a) 32 kg
(b) 40 kg
(c) 52 kg
(d) 80 kg
Show Answer & Explanation

Answer: (b) 40 kg

Explanation:
1. Solid matter = 32 kg, and in dry fruit solid is 80%.
2. Dry fruit = 32/0.8 = 40 kg.

Teacher's Note:
1. The solid part stays constant.

Question 17: Milk contains 5% water. What quantity of pure milk should be added to 10 litres of milk to reduce this to 2%?
(a) 5 litres
(b) 7 litres
(c) Cannot be determined
(d) None of these
Show Answer & Explanation

Answer: (d) None of these

Explanation:
1. Water = 0.5 litre, which must become 2% of the total, so total = 25 litres.
2. Pure milk to add = 25 − 10 = 15 litres, which is not among (a)–(c).

Teacher's Note:
1. The amount of water stays the same.

Question 18: If half of x is y and one-third of y is z, then
(a) z = 6% of x
(b) z = 16.66% of x
(c) z = 60% of x
(d) z = 30% of x
Show Answer & Explanation

Answer: (b) z = 16.66% of x

Explanation:
1. y = x/2 and z = y/3 = x/6 = 16.66% of x.

Teacher's Note:
1. Chain the fractions.

Question 19: The total income of A and B is Rs. 6000. A spends 60% of his income and B spends 80% of his income. If their savings are equal, A's income is
(a) Rs. 2000
(b) Rs. 2400
(c) Rs. 2600
(d) Rs. 2800
Show Answer & Explanation

Answer: (a) Rs. 2000

Explanation:
1. Savings: 0.4A = 0.2B, so B = 2A.
2. A + 2A = 6000 gives A = 2000.

Teacher's Note:
1. Equate the savings.

Question 20: One bacterium splits into eight bacteria of the next generation, but only 50% of one generation can produce the next generation. If the seventh generation has 4096 million, the number in the first generation is
(a) 1 million
(b) 2 million
(c) 4 million
(d) 8 million
Show Answer & Explanation

Answer: (a) 1 million

Explanation:
1. Each generation multiplies by 8 × 0.5 = 4.
2. First generation × 4⁶ = 4096 million, so it is 1 million.

Teacher's Note:
1. Find the effective growth factor.

Question 21: A man earns x% on the first Rs. 2000 and y% on the rest of his income. If he earns Rs. 700 from Rs. 4000 and Rs. 900 from Rs. 5000, find x%.
(a) 20%
(b) 15%
(c) 25%
(d) None of these
Show Answer & Explanation

Answer: (b) 15%

Explanation:
1. The extra Rs. 1000 earned Rs. 200, so y = 20%.
2. 20x + 0.2 × 2000 = 700 gives 20x = 300, so x = 15%.

Teacher's Note:
1. Subtract the two situations to find y first.

Question 22: The price of a Maruti car rises by 30% while the sales of the car come down by 20%. The percentage change in the total revenue is
(a) −4%
(b) −2%
(c) +4%
(d) +2%
Show Answer & Explanation

Answer: (c) +4%

Explanation:
1. Revenue multiplier = 1.3 × 0.8 = 1.04, a 4% increase.

Teacher's Note:
1. Revenue = price × sales.

Free study material for Mathematics

Multiple Choice Questions (MCQs) for Class 10 Mathematics Commercial Mathematics

Chapter MCQs with Answers for Class 10 Mathematics

Test your conceptual understanding of Commercial Mathematics with these targeted multiple-choice questions. Designed in alignment with the latest CBSE curriculum for Class 10 Mathematics, these problem sets build accuracy and prepare students for objective exams.

Expert Practice Material for Class 10 Mathematics

Cross-reference your completed choices with comprehensive NCERT solutions for Class 10 Mathematics to ensure absolute clarity across all sub-topics in this chapter.

Complete Your Chapter Revision

Follow up your worksheet practice by attempting the interactive online Mathematics MCQ test for this chapter to evaluate your execution speed. All platform resources are free to access.

FAQs

Where can I access latest CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06?

You can get most exhaustive CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06 for free on StudiesToday.com. These MCQs for Class 10 Mathematics are updated for the 2026-27 academic session as per CBSE examination standards.

Are Assertion-Reasoning and Case-Study MCQs included in the Mathematics Class 10 material?

Yes, our CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06 include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the CBSE paper is now competency-based.

How do practicing Mathematics MCQs help in scoring full marks in Class 10 exams?

By solving our CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06, Class 10 students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.

Do you provide answers and explanations for CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06?

Yes, Mathematics MCQs for Class 10 have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused CBSE exams.

Can I practice these Mathematics Class 10 MCQs online?

Yes, you can also access online interactive tests for CBSE Class 10 Mathematics Commercial Mathematics MCQs Set 06 on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.