Percentages connect fractions and decimals with marks, prices, mixtures and changing quantities. This practice page for Class 8 Maths, Ganita Prakash Part 2, Chapter 1: Fractions in Disguise contains MCQs with answers and explanations. The sets move from percentage conversions to profit and loss, discounts, GST, interest and successive changes, with mathematical steps that show which quantity each percentage refers to.
Class 8 Maths Ganita Prakash Part 2 Chapter 1 MCQs with Answers
Set 1: Fractions, Decimals and Percentage Basics MCQs (Questions 1–5)
Q1. Which fraction in its simplest form is equal to 24%?
[A]. 24/10
[B]. 6/25
[C]. 12/25
[D]. 3/4
Q2. Surya mixes red and yellow paint to make an orange colour. Red paint forms 3/4 of the mixture. What percentage of the mixture is red paint?
[A]. 25%
[B]. 50%
[C]. 75%
[D]. 80%
Q3. Which decimal should you multiply a quantity by to find 43% of it?
[A]. 0.434.3
[B]. 4.3
[C]. 0.043
[D]. 43
Q4. Nandini has 25 marbles, of which 15 are white. What percentage of her marbles are white?
[A]. 15%
[B]. 40%
[C]. 25%
[D]. 60%
Q5. Madhu eats 120 g of biscuits containing 25% sugar by weight. Madhav eats 95 g of biscuits containing 35% sugar by weight. Who eats more sugar, and by how much?
[A]. Madhu, by 3.25 g
[B]. Madhav, by 3.25 g
[C]. Madhav, by 10 g
[D]. Both eat the same amount of sugar
Set 2: Finding Percentages, Parts and Whole Quantities MCQs (Questions 6–10)
Q7. A test carries 75 marks. A student must score at least 80% to receive an A grade. What is the minimum score Zubin needs?
[A]. 55 marks
[B]. 65 marks
[C]. 70 marks
[D]. 60 marks
Q8. Millet and water are mixed in the ratio 2 : 7 by volume. What percentage of the total mixture is millet, rounded to two decimal places?
[A]. 28.57%
[B]. 20.00%
[C]. 22.22%
[D]. 77.78%
Q9. A cyclist has covered 92 km, which is 40% of the journey from Delhi to Agra. How much farther must the cyclist travel?
[A]. 92 km
[B]. 138 km
[C]. 230 km
[D]. 55.2 km
Q10. Kishanlal’s daily sales target is ₹5,000. On one day, he achieves 210% of his target. What are his sales that day?
[A]. ₹2,100
[B]. ₹5,500
[C]. ₹7,500
[D]. ₹10,500
Set 3: Percentage Applications, Increase and Decrease MCQs (Questions 11–15)
Q11. How many seconds are equal to 1% of one hour?
[A]. 36 seconds
[B]. 6 seconds
[C]. 60 seconds
[D]. 360 seconds
Q12. A halwa recipe for 4 people contains 40% rava, 40% sugar, and 20% ghee. If every ingredient is doubled to serve 8 people, what are the new percentages of rava, sugar, and ghee, respectively?
[A]. 80%, 80%, 40%
[B]. 20%, 20%, 10%
[C]. 40%, 40%, 20%
[D]. 40%, 20%, 40%
Q13. Eesha scores 42 out of 50 in English and 70 out of 80 in Science. In which subject is her percentage score higher?
[A]. English, with 84% compared with 80% in Science
[B]. Science, with 87.5% compared with 84% in English
[C]. Both subjects, with 84% each
[D]. The scores cannot be compared because the maximum marks differ
Q14. The price of 1 kg of tomatoes rises from ₹30 to ₹42. What is the percentage increase?
[A]. 12%
[B]. 28.57%
[C]. 40%
[D]. 140%
Q15. The average number of visitors to a theatre falls from 160 to 100. What is the percentage decrease?
[A]. 37.5%
[B]. 60%
[C]. 62.5%
[D]. 160%
Set 4: Original Values, Profit, Loss and Discounts MCQs (Questions 16–20)
Q16. A number becomes 90 after an increase of 20%. What was the original number?
[A]. 72
[B]. 108
[C]. 70
[D]. 75
Q17. Shambhavi sells a crayon box for ₹50 and earns a profit equal to 25% of its cost price. What was the cost price?
[A]. ₹37.50
[B]. ₹62.50
[C]. ₹40
[D]. ₹25
Q18. Shyamala buys a vase for ₹2,650 and sells it at a loss of 18% of the cost price. What is its selling price?
[A]. ₹2,173
[B]. ₹477
[C]. ₹2,632
[D]. ₹3,127
Q19. A cooker marked at ₹1,800 is sold at a discount of 35%. The shopkeeper bought it for ₹900. What is the profit as a percentage of the cost price?
[A]. 35%
[B]. 65%
[C]. 70%
[D]. 30%
Q20. Manisha’s monthly sales revenue is ₹1,50,000. The goods sold cost her ₹1,00,000, and other monthly expenses are ₹5,000. What is her net profit as a percentage of sales revenue?
[A]. 45%
[B]. 30%
[C]. 33⅓%
[D]. 50%
Set 5: GST, Interest and Depreciation MCQs (Questions 21–25)
Q21. A mobile phone costs ₹8,250 before tax. GST of 18% is added to this price. What is the final price including GST?
[A]. ₹9,735
[B]. ₹1,485
[C]. ₹8,268
[D]. ₹6,765
Q22. Jasmine invests an amount p for 4 years at 6% interest per year without compounding. Which expression gives the total of her principal and all the interest received?
[A]. 0.24p
[B]. p × (1.06)⁴
[C]. p + (p × 6 × 4)
[D]. p + (p × 0.06 × 4)
Q23. An amount of ₹6,000 earns 10% interest per year, compounded annually. What is the total amount after 3 years?
[A]. ₹7,800
[B]. ₹7,260
[C]. ₹7,986
[D]. ₹1,986
Q24. ₹20,000 is deposited for 2 years at 10% interest per year. How much more interest is earned with annual compounding than without compounding?
[A]. ₹2,000
[B]. ₹200
[C]. ₹400
[D]. ₹4,200
Q25. A television is bought for ₹21,000. Its value depreciates by 5% after one year. What is its value then?
[A]. ₹1,050
[B]. ₹20,995
[C]. ₹22,050
[D]. ₹19,950
Set 6: Successive Changes and Percentage Reasoning MCQs (Questions 26–30)
Q26. Cakely sells a cake marked at ₹200 with a 30% discount, followed by a further 20% discount on the reduced price. What is the overall discount as a percentage of the marked price?
[A]. 44%
[B]. 50%
[C]. 56%
[D]. 10%
Q27. Surbhi marks her cookware 50% above its cost price and then gives a 50% discount on that marked price. What is the result compared with her cost price?
[A]. No profit and no loss
[B]. 25% loss
[C]. 25% profit
[D]. 50% loss
Q28. A laboratory’s mouse population starts at p. It increases by 5% in the first month, decreases by 2% in the second, and decreases by 3% in the third. Each change is based on the previous month’s population. Which expression models the population after three months?
[A]. p × 0.05 × 0.02 × 0.03
[B]. p × (1 + 0.05 − 0.02 − 0.03)
[C]. p × 1.05 × 0.98 × 0.97
[D]. p × 1.05 × 1.02 × 1.03
Q29. For any positive numbers x and y, which statement correctly compares x% of y with y% of x?
[A]. x% of y is always greater
[B]. x% of y is always smaller
[C]. They are equal only when x = y
[D]. They are always equal
Q30. There are 100 people in a room, and 99% are left-handed. Only left-handed people leave. How many must leave so that 98% of the people remaining are left-handed?
[A]. 50
[B]. 1
[C]. 49
[D]. 2
Identify the Base of Every Percentage
When reviewing an answer, label the quantity treated as 100% before calculating. Distinguish cost price, marked price and sales revenue, and track the new base after each successive change. Rework one reverse-percentage question and one interest question to check that you can explain the calculation as well as perform it.
