Practise Class 8 Maths Part 2 Chapter 1 – Fractions in Disguise with this easy NCERT Ganita Prakash worksheet. Includes important questions and revision exercises to strengthen concepts, practise key skills and prepare effectively for class tests and exams.
Fractions in Disguise
Grade 8 Mathematics – Ganita Prakash Part-II
Worksheet: Percentages, Profit & Loss, Discount, Interest and Growth
- Read every question carefully.
- Show your working wherever calculations are required.
- Use percentage formulas carefully.
- Do not look at the Answer Sheet until you have completed the worksheet.
What is 25% of 200?
A mobile phone costs ₹8,250. GST is charged at 18%. What is the GST amount?
The population of a town is 50 lakh. If the new population becomes 250% of the old population, the new population is:
A price increases by 3% in one year and by 4% in the next year. The overall increase is:
A quantity decreases by 10%. The quantity left is:
Which formula represents compound growth at rate r for t periods?
A 20% discount on ₹500 gives a discount of:
If a number is increased by 20%, which multiplier gives the new number?
25% = ______ / 100.
0.45 expressed as a percentage is ______%.
60% of 300 = ______.
If 30% of a number is 90, the number is ______.
A 15% discount means that the customer pays ______% of the marked price.
In simple interest, the principal remains ______ for each period.
In compound interest, the interest is added to the ______ for the next period.
A decrease of 20% means that ______% of the original quantity remains.
Convert each fraction into a percentage:
(i) 3/5 (ii) 1/2 (iii) 9/20
Find:
(i) 25% of 160
(ii) 16% of 250
(iii) 62% of 360
What percentage of a full turn is 3/5 of a turn?
Compare the following using >, < or =:
(i) 50% of 510 ___ 50% of 515
(ii) 37% of 148 ___ 73% of 148
(iii) 30% of 40 ___ 40% of 50
(iv) 45% of 200 ___ 10% of 490
Is 10% of a day longer than 1% of a week? Show your calculation.
What is 5% of 40? What is 40% of 5?
What do you notice?
Explain using algebra why x% of y is equal to y% of x.
A shopkeeper buys a geometry box for ₹75 and sells it for ₹110. Find the profit and profit percentage with respect to the cost price.
A carpenter spends ₹475 on materials for a chair. He wants a profit of 50% on the cost. At what price should he sell the chair?
A shirt costs ₹300. A shop gives a discount of 25%. Find the amount to be paid.
A bicycle is marked at ₹8,000 and sold at a discount of 15%. Find its selling price.
An article costing ₹750 is sold at a loss of 5%. Find its selling price.
A number increased by 20% becomes 90. Find the original number.
A shopkeeper sells an article at a 20% profit. If its cost price is ₹600, find its selling price.
Find the simple interest on ₹20,000 for 4 years at 5% per annum.
Find the total amount received when ₹20,000 is invested for 4 years at 5% per annum simple interest.
₹20,000 is invested for 2 years at 10% per annum, compounded annually. Find the final amount.
Find the simple interest on ₹50,000 at 7% per annum for 3 years.
Find the compound amount on ₹50,000 at 7% per annum compounded annually for 3 years.
Explain one difference between simple interest and compound interest.
An amount of ₹1,000 grows at 10% per annum. Write the amount after:
(i) 1 year (ii) 2 years
The population of a city is 1.5 crore. It grows by 3% every year. Find the expected population after 3 years.
A TV costs ₹21,000. Its value decreases by 5% after one year. Find its value after one year.
A village has a population of 1,250. Its population decreases by 10% every decade. Find the population after 3 decades using repeated multiplication.
A provision store offers either a 20% discount or a ₹50 discount.
Which discount gives the greater saving on an item costing ₹180?
A cake costs ₹200. One shop gives successive discounts of 30% and 20%. Another shop gives a single discount of 50%. Find the final price at each shop.
A price increases by 10% and then decreases by 10%. Is the final price equal to the original price? Explain with an example of ₹100.
Convert 0.375 into a percentage.
Convert 72% into a fraction in simplest form.
Find 18% of ₹2,500.
40% of a number is 160. Find the number.
A school has 800 students. If 35% are girls, how many girls are there?
A student scores 72 marks out of 90. Find the percentage scored.
An article costing ₹1,200 is sold for ₹1,500. Find the profit percentage.
A dress marked at ₹2,000 is sold after a 15% discount. Find the selling price.
The price of rice increases from ₹40 per kg to ₹46 per kg. Find the percentage increase.
A bank gives simple interest at 6% per annum. Find the simple interest on ₹10,000 for 3 years.
Find the amount after 2 years when ₹10,000 is compounded annually at 10% per annum.
A machine worth ₹80,000 depreciates by 10% in one year. Find its value after one year.
A population of 20,000 increases by 5% in one year. Find the new population.
A quantity increases by 20% and then by another 20%. Find the total percentage increase.
A quantity decreases by 20% and then increases by 20%. Is it back to its original value? Verify using 100 as the original value.
A shop offers “Buy 1 and get 1 free”. If one item costs ₹120, what is the effective cost per item?
A shop offers “Buy 3 and get 1 free”. What percentage of the total items received are free?
| Q. | Answer |
|---|---|
| 1 | 50 |
| 2 | ₹1,485 |
| 3 | 125 lakh |
| 4 | 7.12% |
| 5 | 90% |
| 6 | p(1 + r)t |
| 7 | ₹100 |
| 8 | 1.20 |
| 9 | 25/100 |
| 10 | 45% |
| 11 | 180 |
| 12 | 300 |
| 13 | 85% |
| 14 | same / unchanged |
| 15 | principal |
| 16 | 80% |
| 17 | (i) 60% (ii) 50% (iii) 45% |
| 18 | (i) 40 (ii) 40 (iii) 223.2 |
| 19 | 60% |
| 20 | (i) < (ii) < (iii) < (iv) < |
| 21 | 10% of a day = 2.4 hours; 1% of a week = 1.68 hours. Therefore 10% of a day is longer. |
| 22 | 5% of 40 = 2; 40% of 5 = 2 |
| 23 | x% of y = xy/100 and y% of x = yx/100; therefore they are equal. |
| 24 | Profit = ₹35; Profit % = 46⅔% approximately |
| 25 | ₹712.50 |
| 26 | ₹225 |
| 27 | ₹6,800 |
| 28 | ₹712.50 |
| 29 | 75 |
| 30 | ₹720 |
| 31 | ₹4,000 |
| 32 | ₹24,000 |
| 33 | ₹24,200 |
| 34 | ₹10,500 |
| 35 | ₹61,252.15 approximately |
| 36 | In simple interest, interest is calculated on the original principal; in compound interest, interest is added to the principal for later periods. |
| 37 | Year 1 = ₹1,100; Year 2 = ₹1,210 |
| 38 | 1.5 × 1.03³ crore = 1.63909 crore, approximately 1.64 crore |
| 39 | ₹19,950 |
| 40 | 1250 × 0.9³ = ₹911.25, approximately 911 |
| 41 | 20% of ₹180 = ₹36; ₹50 discount = ₹50. The ₹50 discount saves more. |
| 42 | 30% then 20%: ₹112; single 50%: ₹100 |
| 43 | No. ₹100 → ₹110 → ₹99, so final price is 1% below the original. |
| 44 | 37.5% |
| 45 | 18/25 |
| 46 | ₹450 |
| 47 | 400 |
| 48 | 280 girls |
| 49 | 80% |
| 50 | 25% |
| 51 | ₹1,700 |
| 52 | 15% |
| 53 | ₹1,800 |
| 54 | ₹12,100 |
| 55 | ₹72,000 |
| 56 | 21,000 |
| 57 | 44% |
| 58 | No. ₹100 → ₹80 → ₹96. |
| 59 | ₹60 per item |
| 60 | 25% |
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