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Question 1
If a % is the discount on the marked price y, the discount is
(a) $(\frac {y}{a}) \times 100$
(b) $(\frac {a}{y}) \times 100$
(c) $(\frac {a}{100}) \times y$
(d) $\frac {100}{a + y}$ Solution
Answer is (c)
Question 2
X Bought a box at Rs 35000 and sold it to Y. Y in turns sold it to Z. Both X and Y made 20% profit. Which one of the following is true?
(a) X and Y earn the same profit
(b) X earned more profit Y
(c) X earned less profit then Y
(d) Cannot be determined Solution
X profit = 20% of Rs 35000= Rs 7000
Y cost Price= Rs 35000 + Rs 7000= Rs4200
Y profit = 20% of Rs 42000= Rs 8400
So, clearly X earned less profit then Y
Hence (c) is the answer
Question 3
Find the following
(i) 50% of 140
(ii) 30% of Rs 750
(iii) 16.5% of 4000 kg
(iv) $2 \frac {1}{2}$ % of 80L
(v) 0.8 % of 8 km
(vi) 150 % of 1000
(vii) 12 % of 360 m
(viii) $2 \frac {2}{7}$ of 7L
(ix) 0.8 % of 250 g
(x) 3/4 % of Rs 780 Solution
(i)50% of 140 = (50/100) × 140 =70
(ii) 30% of Rs 750= (30/100) × 750 =Rs 225
(iii)16.5% of 4000 kg = (16.5/100) × 4000= 660 Kg
(iv) $2 \frac {1}{2}$ % of 80L = (2.5/100) × 80= 2 L
(v)0.8 % of 8 km= .064 km
(vi) 150 % of 1000 = 1500
(vii) 12 % of 360 m=43.2 m
(viii)$2 \frac {2}{7}$ of 7L= .16 L
(ix) 0.8 % of 250 g= 2g
(x)3/4 % of Rs 780=Rs 5.85
Question 4
True and False statement
(a) C.P = M.P – Discount
(b) Discount is the reduction given on Marked price of the article
(c) If a discount x is available on the marked price y of the article, then discount % is (x/y) ×100
(d) Simple interest is always less than compound interest for the same principle, same interest rate and same time period (>1)
(e) Sales tax is computed over the Selling price of the article and added to the bill of the customer Solution
(a) False
(b) True
(c) True
(d) True
(e) True
Question 5
The list price of an article is 100Rs.If you get a price discount of 15% and pay 5% for tax, what is the actual cost of your article? Solution
Discount = 15% of Rs 100= Rs 15
Selling Price = 100 -15 = Rs 85
Tax = 5% of Rs 85 = Rs 4.25
Therefore cost of your article =Rs 85 + Rs 4.25= Rs 89.25
Question 6
In a Movie complex 75 % of seats were filled. If there were 600 seats in the hall, how many seats were vacant? Solution
Question 7
A real estate agent earns Rs 50000 as commission on the sale of the property. If the commission is 4% of the selling price. What is the selling price of the property? Solution
Let x be the selling price of the property
Then
50000= 4% of x
or
50000= 4x/100
x= Rs 1250,000
Question 8
A Woman earns Rs 100000 per month and spends 65 % of it. How much money does she save every month? Solution
Question 11
An alloy of iron and zinc contains 40 % of iron and the rest is zinc. Find the weight of the zinc in 3 kg of the alloy? Solution
Weight of zinc = 60% of 3 Kg= 1.8 Kg
Question 12.
In an exam, 85 % of the children pass. Find the number of children who passed, if there were 1700 children. Solution
Children passed= 85% of 1700= 1445
Question 13
Jatin got 10% increase in his salary. If his new salary is 55000, find his previous salary. Solution
Let x be previous salary
Then
New salary= x + 10% of x = x + 10x/100= 11x/10
Now
11x/10=55000
x= Rs 50,000
Question 14
The enrollment in a Government school increased by 15 % from the year 2014 to 2015. If 1500 enrolled in 2014, how many enrolled in 2015. Solution
Increae in enrollment = 15% of 1500= 225
Total enrolled in 2015= 1500 + 225 = 1725
Question 15
For an amount x, explain why 20% increase followed by the 20% decrease is less than original amount x Solution
Increase = 20% of x = .2x
Total = x + .2x= 1.2 x
Decrease = 20% of 1.2x = .24 x
So After decrease amount will be = 1.2x - .24 x= .96 x
Which is clearly less than original amount
Hence proved
Question 16
By what number must the given number be multiplied to increase the number by 10%? Solution
Let x be given number
After 10% increase = x + 10% of x = 1.1 x
So x need to be multipled by 1.1 in order to increase by 10%
Question 17
The price of oil rises from Rs120 per litre to Rs 150 per litre. Find the percentage rise in the price of oil? Solution
Question 18
The population of a small locality in Gurgaon was 1000 in 2014 and became 1500 in 2015. By what percent did the population increases? Solution
Question 19
Arun bought household items whose Unit price and discount % is as follows:
Find the total amount of the bill he has to pay Solution
Total Amount to Pay=Rs 2137.50
Summary
This comparing quantities class 8 worksheet is prepared keeping in mind the latest syllabus of CBSE . This has been designed in a way to improve the academic performance of the students. If you find mistakes , please do provide the feedback on the mail. You can download this as PDF also
