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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) $\frac {100}{a + y}$

Answer is (c)

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

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

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

(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

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

(a) False

(b) True

(c) True

(d) True

(e) True

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?

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

In a Movie complex 75 % of seats were filled. If there were 600 seats in the hall, how many seats were vacant?

Seat filled= 75% ofd 600= 450

Seat vacant= 600 -450=150

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?

Let x be the selling price of the property

Then

50000= 4% of x

or

50000= 4x/100

x= Rs 1250,000

A Woman earns Rs 100000 per month and spends 65 % of it. How much money does she save every month?

expenditure = 65% of Rs 100000= Rs 65000

Saving = Rs 100000-65000=Rs 35000

To clear his stock a Lifestyle offers a discount of 50 %. Find the discount on goods worth Rs 1500?

Discount = 50% of Rs 1500= Rs 750

The population of a city increased from 60000 to 62500. What is the increase percent?

Increase in population= 62500 - 60000=2500

% increase = (2500/60000) × 100 = 4.16%

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?

Weight of zinc = 60% of 3 Kg= 1.8 Kg

In an exam, 85 % of the children pass. Find the number of children who passed, if there were 1700 children.

Children passed= 85% of 1700= 1445

Jatin got 10% increase in his salary. If his new salary is 55000, find his previous salary.

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

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.

Increae in enrollment = 15% of 1500= 225

Total enrolled in 2015= 1500 + 225 = 1725

For an amount x, explain why 20% increase followed by the 20% decrease is less than original amount x

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

By what number must the given number be multiplied to increase the number by 10%?

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%

The price of oil rises from Rs120 per litre to Rs 150 per litre. Find the percentage rise in the price of oil?

Increase =150 -120=30

% increase = (30/120) × 100 = 25%

The population of a small locality in Gurgaon was 1000 in 2014 and became 1500 in 2015. By what percent did the population increases?

Increase =1500 -1000=500

% increase = (500/1000) × 100 = 50%

Arun bought household items whose Unit price and discount % is as follows:

Find the total amount of the bill he has to pay

Total Amount to Pay=Rs 2137.50

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

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