Teachers can assign these Class 8 Ganita Prakash Worksheet and NCERT Class 8 Maths Chapter 1 Fractions in Disguise Worksheet with Answers Pdf for daily practice.
Fractions in Disguise Worksheet Class 8
Class 8 Maths Fractions in Disguise Worksheet
Worksheet On Fractions in Disguise Class 8 – Fractions in Disguise Class 8 Ganita Prakash Worksheet
Multiple Choice Questions
Question 1.
What is 25% of 240?
(a) 50
(b) 60
(C) 70
(d) 80
Answer:
(b) 60
Question 2.
A student scored 45 out of 50 in a test. What is their percentage, score?
(a) 85%
(b) 90%
(c) 75%
(d) 95%
Answer:
(b) 90%
Question 3.
If 10% of a number is 15, what is the number?
(a) 100
(b) 150
(c) 200
(d) 250
Answer:
(b) 150
Question 4.
A retailer buys a radio for ₹ 225 and spends ₹ 15 on its repairing. If he sells the radio for ₹ 300 then his profit per cent is
(a) 25%
(b) 20%
(c) 15%
(d) 10%
Answer:
(a) 25%
Question 5.
A bicycle is purchased for ₹ 1800 and sold at a profit of 12%. Its selling price is
(a) ₹ 1584
(b) ₹ 2016
(c) ₹ 1788
(d) ₹ 1812
Answer:
(b) ₹ 2016
Question 6.
An item at ?950 is sold for ₹ 800. What is the discount percentage?
(a) 18%
(b) 15-79%
(c) 21%
(d) 20%
Answer:
(b) 15-79%
Question 7.
\(\frac{25 \% \text { of } 50 \% \text { of } 100 \%}{25 \times 50}\) is equal to
(a) 1.1%
(b) 0. 1%
(c) 0.01%
(d) 1%
Answer:
(c) 0.01%
Question 8.
If the population of a city decreased from 25000 to 24500 then the percentage decrease of population is
(a) 2%
(b) 8%
(c) 7%
(d) 11%
Answer:
(a) 2%
Question 9.
When the price of a pressure cooker was increased by 15%, the sales of pressure cooker decreased by 15%. What was the net effect on the sales?
(a) No effect
(b) 15% increase
(c) 2.25% increase
(d) 2.25% decrease
Answer:
(d) 2.25% decrease
Question 10.
Ajay, Kapil and Varun are three friends studying in the same class. In a class test of Maths, Ajay got 45 out of 50, Kapil got 36. The average score of the friends was 82%. In that test, Varun scored
(a) No effect
(b) 15% increase
(c) 2.25% increase
(d) 2.25% decrease
Answer:
(a) No effect
Question 11.
The CI on a sum of ₹ 8000 for 1 yr at 10% perannum compounded semi-annually is
(a) ₹ 840 ED
(b) ₹ 820
(c) ₹ 760
(d) ₹ 800
Answer:
(b) ₹ 820
Question 12.
A sum of 25000 invested at 8% perannum compounded semi annually amount to ₹ 28121.60. The time period of investment is
(a) 1 yr
(b) 2 yr
(c) 1 yr
(d) None of these
Answer:
(c) 1 yr
Assertion and Reason-based Questions.
Question 1.
Study the Assertion (A) and Reason (R) statements given below and choose the correct alternative.
(i) Assertion (A) The ratio of 10 m to 10 km is \(\frac{1}{1000}\).
Reason (R) \(\frac{10 \mathrm{~m}}{10 \mathrm{~km}}=\frac{10 \mathrm{~m}}{10000 \mathrm{~m}}=\frac{1}{1000}\)
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(a) Both A and R are true and R is the correct explanation of A.
Question 2.
Assertion (A) The fraction \( \frac{2}{5}\) converted to percentage is 30%.
Reason (R) A fraction represents a part of a whole or more generally, any number of equal parts.
(a) Both A and R are true and R is the correct explanation of A.
(b) Both A and R are true but R is not the correct explanation of A.
(c) A is true but R is false.
(d) A is false but R is true.
Answer:
(d) A is false but R is true.
Fill in the blanks.
1. A ______ with its denominator 100 is called a per cent.
Answer:
Fraction
2. To convert a decimal into a per cent, we shift the decimal point two places to the ______.
Answer:
right
3. ______ 30% of 2 h is
Answer:
36
4. 90% as a decimal is
Answer:
0.9
5. The price of an article costing ₹ 240 is increased by 25%. The new price is
Answer:
₹ 300
6. ______ The buying price of an article is known as its price.
Answer:
cost
7. Rahul bought a tractor for ₹ 90000 and sold it at a loss of ₹ 9000. Then, the selling price of tractor is ______.
Answer:
₹ 81000
8. If marked price is ₹ 1500 and discount is 25% then selling price is ______.
Answer:
₹ 1125
9. _______ is the extra money paid by institutions like banks or post offices on money deposited (kept) with them.
Answer:
Interest
10. Simple Interest (SI) = _______
Answer:
Principal × Rate of interest × Time
11. The simple interest to be paid on ₹ 20000 at 10% perannum after 3yr is _______.
Answer:
₹ 6000
12. The interest, calculated on the amount of previous years, is known as _______.
Answer:
compound interest
13. In simple interest, _______ remains the same for each time period year.
Answer:
Principal
14. Under _______, principal changes year-after-year.
Answer:
compound interest
15. If p is the sum on which interest is compounded annually at a rate of r% per annum
then the amount at the end of t yr, will be A = _______.
Answer:
p(1 + r)t
State whether the statements given below are True or False.
1. If a student scores 80 marks out of 100, their percentage score is 80%.
Answer:
True
2. A 50% discount on a x 200 item reduces its price to ₹ 100.
Answer:
True
3. 20% of 150 is equal to 30.
Answer:
True
4. If a shirt’s price increases from ₹ 500 to ₹ 600, the percentage increase is 20%.
Answer:
True
5. 75% of 200 is greater than 50% of 300.
Answer:
False
6. If a shopkeeper buys a book for ₹ 100 and sells it for ? 120, the profit is ₹ 20.
Answer:
True
7. The formula for calculating profit percentage is [/latex]\frac{\text { profit }}{\text { cost price }}\( x 100
Answer:
True
8. If the discount of ₹ y is available on the marked price of ₹ x then the discount per cent is \)\frac{x}{y}\( x 100y.
Answer:
False
9. In interest with compounding, interest is added to the principal after every term and the next interest is calculated on this new amount.
Answer:
True
10. To calculate the growth of a bacteria if the rate of growth is known then the formula for calculation of amount in interest with compounding can be used.
Answer:
True
11. Interest with compounding is the interest calculated on the principal amount.
Answer:
False
12. Simple interest on a given amount is always less than or equal to the compound interest on the same amount for the same time period and at the same rate of interest per annum.
Answer:
True
Match the following Columns.
Question 1.
A. A farmer has the following number of different animals.
Cow : 30, Buffalo : 16, Goat: 20, Ox : 9,
Camel: 8, Sheep : 12, Horse : 5
Using the above information, complete the table given below.
| Name of Animals I | Number of Animals II | In Fraction Animals/Total III | In Percentage IV |
| Cow | 30 | ||
| Buffalo | 16 | ||
| Goat | 20 | ||
| Ox | 9 | ||
| Camel | 8 | ||
| Sheep | 12 | ||
| Horse | 5 |
Answer:
| Name of Animals I | Number of Animals II | In Fraction Animals/Total III | In Percentage IV |
| Cow | 30 | [latex]\frac{16}{100}\) | 30% |
| Buffalo | 16 | \(\frac{16}{100}\) | 16% |
| Goat | 20 | \(\frac{20}{100}\) | 20% |
| Ox | 9 | \(\frac{9}{100}\) | 9% |
| Camel | 8 | \(\frac{8}{100}\) | 8% |
| Sheep | 12 | \(\frac{12}{100}\) | 12% |
| Horse | 5 | \(\frac{5}{100}\) | 5% |
B. Complete the following table by writing the fraction and decimal representation of the given percentages.
| Percentages | Fraction II | Decimal III |
| \(6 \frac{1}{4} \%\) | ||
| 12.5% | ||
| 60% | ||
| 250% | ||
| 12% | ||
| 32% |
Answer:
| Percentages | Fraction II | Decimal III |
| \(6 \frac{1}{4} \%\) | \(\frac{25}{400}=\frac{1}{16}\) | 0.0625 |
| 12.5% | \(\frac{125}{1000}=\frac{1}{8}\) | 0.125 |
| 60% | \(\frac{60}{100}=\frac{3}{5}\) | 0.6 |
| 250% | \(\frac{250}{100}=\frac{5}{2}\) | 2.5 |
| 12% | \(\frac{12}{100}=\frac{3}{25}\) | 0.12 |
| 32% | \(\frac{32}{100}=\frac{8}{25}\) | 0.32 |
Question 2.
| Column I | Column II |
| (i) Principal | (a) The rate at which interest is calculated on principal |
| (ii) Rate of interest | (b) The original sum of money or population |
| (iii) Time period | (c) A = p(l + r)t |
| (iv) Compound amount | (d) The number of years the interest is applied |
Answer:
| Column I | Column II |
| (i) Principal | (b) The original sum of money or population |
| (ii) Rate of interest | (a) The rate at which interest is calculated on principal |
| (iii) Time period | (d) The number of years the interest is applied |
| (iv) Compound amount | (c) A = p(l + r)t |
Question 3.
Complete the following table
Answer:
(i) 200
(ii) 2
(iii) 4000
(iv) 9
Question 4.
Complete the following table based on the given values. Assume the rate of interest is compounded annually.
| Year | Principal (P) | Rate of Interest (r) | Population at the end of the year (A) |
| 1 | 10000 | 5% | |
| 2 | 12000 | 10% | |
| 3 | 14000 | 15% | |
| 4 | 16000 | 20% |
Answer:
| Year | Principal (P) | Rate of Interest (r) | Population at the end of the year (A) |
| 1 | 10000 | 5% | 10500 |
| 2 | 12000 | 10% | 14520 |
| 3 | 14000 | 15% | 21292.25 |
| 4 | 16000 | 20% | 33177.6 |
Very Short Answer Type Questions
Question 1.
If 90% of x is 315 km. Then, find the value of x.
Answer:
350 km
Question 2.
There are 25 mobile phones out of which 16 are damaged. Find the percentage of damaged mobile phones.
Answer:
64%
Question 3.
The salary of an employee is increased by 15%. If his original salary is ₹ 12000 then find the new salary.
Answer:
13800
Question 4.
Ram and Shyam scored 320 out of 400 and 280 out of 400, respectively. Find out who scored more percentage of marks?
Answer:
Ram
Question 5.
Sabina buy a table for ? 275 and sells it at a loss of 15%. How much does she sell it for?
Answer:
233.75
Question 6.
900 kg of mortar consists of 54% sand and 20% lime and rest cement. What is the mass of cement in mortar?
Answer:
234 kg
Question 7.
Calculate the simple interest on principal of ₹ 3500 for 4 year at the rate of 7% per annum.
Answer:
980
Question 3.
Short answer type I questions
(i) The cost of a flower vase is ₹ 120. If the shopkeeper sells it at a loss of 10%. Find the selling price.
Answer:
108
Question 4.
A fruitseller was selling mangoes. By selling 15 kg mangoes for ₹ 340, he suffered a loss of 15%. Find the cost price of mangoes.
Answer:
400
Question 5.
Sanjay sells shirts at a profit of 12\(\frac{1}{2} \%\) and then invests the proceeds to buy pants, which he sells at a profit of 20%. If he makes a net profit of ₹ 700 then what is the cost of shirts?
Answer:
2000
Question 6.
Mohan borrows ₹ 7000 from a money lender at a rate of 2.5% per month. He returned 1.5 times of that money. Find, after how many months, Mohan returned that money.
Answer:
20 months
Question 7.
A computer marked at ₹ 12000 is available for 111400. Find the discount and the discount per cent.
Answer:
600, 5%
Question 8.
Shyam pruchases a scooter costing X 36450 and the GST is 9% then find the total amount paid by him.
Answer:
39730.50
Question 9.
If Kavita had ₹ 1000 left after spending 80% of her money then how much did she have in beginning?
Answer:
5000
Short Answer Type II Questions
Question 1.
Out of 20000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you find how many actually did not vote?
Answer:
8000
Question 2.
45% of the population of a town are men and 40% are women. What is the percentage of children?
Answer:
15%
Question 3.
The strength of a school is 2000. If 40% of the students are girls then how many boys are there in the school?
Answer:
1200
Question 4.
Chalk contains 10% calcium, 3% carbon and 12% oxygen. Find the amount of carbon 1 and calcium (in grams) in 2\(\frac{1}{2}\) kg of chalk.
Answer:
75 g and 250 g
Question 5.
800 kg of mortar consists of 55% sand, 33% cement and rest lime. What is the mass of lime in mortar?
Answer:
96 kg
Question 6.
In a furniture shop, 24 tables were bought at the rate of ₹ 450 per table. The shopkeeper sold 16 of them at the rate of 1600 per table and the remaining at the rate of 400 per table. Find his gain or loss per cent.
Answer:
18.75%
Question 7.
Arun divides U 0000 between his sons, Mil and Ajay in the ratio 5 : 3. Find the share of each of them.
Answer:
6250 and 3750
Question 8.
A man sold two radios for 50OO each. On one he gets a gain of 10% and on other a loss of 10%. Find his total gain or loss per cent in the whole transactions.
Answer:
1% loss
Long Answer Type Questions
Question 1.
Niharika got 99% marks in Science, 80% marks in Hindi, 72% marks in English, 90% marks in Mathematics and 95% marks in Social Science. If each subject carries 100 marks then find the percentage of marks obtained by Niharika in the aggregate of all the subjects.
Answer:
87.2%
Question 2.
The simple interest on a certain sum for 8 year at 12% per annum is ₹ 3120 more than the simple interest on the same sum for 5 year at 14% per annum. Find the sum.
Answer:
12000
Question 3.
A man while writing his will wished to give 48% of his wealth to his wife. 32% to his only son, 10% to his
servants and ₹ 302250 to a trust for giving scholarships to poor students for their studies.
(a) How much money his wife and son will get?
(b) How much money his servants will get?
(c) Which values are depicted here?
Answer:
(a) 1450800, 967200
(b) 302250
(c) 302250
Cased Based Questions
At the annual Science Exhibition at Bright Future Academy, the school store sells educational kits to students. The kits are marked with a price, and a sales tax is applied to calculate the final selling price. Consider the following details about the sale of these educational kits.
• The cost price (CP) of each educational kit is ₹ 500.
• The marked price (MP) of each kit is ₹ 700.
• The store offers a 10% discount on the marked price.
• A sales tax of 8 % is applied to the selling price after the discount.
Based on this information, answer the following questions.
(i) Calculate the selling price (SP) of each educational kit after the discount is applied.
Answer:
₹ 630
(ii) Determine the final price of each educational kit after applying the 8% sales tax on the selling price.
Answer:
₹ 680.4
(iii) Calculate the profit or loss the school makes on each educational kit sold after applying the discount and the sales tax.
Answer:
₹ 180.4
(iv) If the school sells 100 educational kits during the exhibition, calculate the total profit or loss for the school.
Answer:
₹ 18040
(v) What is the final price of each educational kit after applying an 8% sales tax on the selling price?
(a) ₹ 680.40
(b) ₹ 681.00
(c) ₹ 682.00
(d) ₹ 683.40
Answer:
(a) ₹ 680.40
The post Fractions in Disguise Class 8 Worksheet with Answers Maths Chapter 1 appeared first on Learn CBSE.
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