Comparing Quantities

Anita takes a loan of ` 5,000 at 15% per year as rate of interest. Find
the interest she has to pay at the end of one year.

Selling price of a toy car is ` 540. If the profit made by shopkeeper is
20%, what is the cost price of this toy?

The cost of a flower vase is ` 120. If the shopkeeper sells it at a loss
of 10%, find the price at which it is sold.

The number of illiterate persons in a country decreased from 150 lakhs
to 100 lakhs in 10 years. What is the percentage of decrease?

A school team won 6 games this year against 4 games won last year.
What is the per cent increase?

If ` 250 is to be divided amongst Ravi, Raju and Roy, so that Ravi gets
two parts, Raju three parts and Roy five parts. How much money will
each get? What will it be in percentages?

Reena’s mother said, to make idlis, you must take two parts rice and
one part urad dal. What percentage of such a mixture would be rice
and what percentage would be urad dal?

Rahul bought a sweater and saved ` 20 when a discount of 25% was
given. What was the price of the sweater before the discount?

A survey of 40 children showed that 25% liked playing football. How
many children liked playing football?

What per cent of the adjoining figure is shaded?

Convert the given decimals to per cents:
(a) 0.75 (b) 0.09 (c) 0.2

Out of 25 children in a class, 15 are girls. What is the percentage of girls?

The car that I own can go 150 km with 25 litres of petrol. How far can
it go with 30 litres of petrol?

6 bowls cost ` 90. What would be the cost of 10 such bowls?

A map is given with a scale of 2 cm = 1000 km. What is the actual distance
between the two places in kms, if the distance in the map is 2.5 cm?

Are the ratios 1:2 and 2:3 equivalent?

Find the ratio of 3 km to 300 m.

If Meena gives an interest of Rs 45 for one year at 9% rate p.a.. What is the sum she has borrowed?

What rate gives Rs 280 as interest on a sum of Rs 56,000 in 2 years?

Find the amount to be paid at the end of 3 years in each case:

(a) Principal = Rs 1,200 at 12% p.a.

(b) Principal = Rs 7,500 at 5% p.a.

Amina buys a book for Rs 275 and sells it at a loss of 15%. How much does she sell it for?

(i) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of carbon in chalk.

(ii) If in a stick of chalk, carbon is 3g, what is the weight of the chalk stick?

Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?

I buy a T.V. for Rs 10,000 and sell it at a profit of 20%. How much money do I get for it?

Arun bought a car for Rs 3,50,000. The next year, the price went upto

Rs 3,70,000. What was the percentage of price increase?

The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.

Convert each part of the ratio to percentage:

(a) 3:1 (b) 2:3:5 (c) 1:4 (d) 1:2:5

Tell what is the profit or loss in the following transactions. Also find profit

percent or loss percent in each case.

(a) Gardening shears bought for Rs 250 and sold for Rs 325.

(b) A refrigerator bought for Rs 12,000 and sold at Rs 13,500.

(c) A cupboard bought for Rs 2,500 and sold at Rs 3,000.

(d) A skirt bought for Rs 250 and sold at Rs 150.

A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?

Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?

Out of 15, 000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

Convert given percents to decimal fractions and also to fractions in simplest forms:

(a) 25% (b) 150%

(c) 20% (d) 5%

Find the whole quantity if

(a) 5% of it is 600 (b) 12% of it is 1080

(c) 40% of it is 500 km (d) 70% of it is 14 minutes

(e) 8% of it is 40 litres

Find:

(a) 15% of 250 (b) 1% of 1 hour

(c) 20% of Rs 2500 (d) 75% of 1 kg

Estimate what part of the figures is coloured and hence find the per cent which is coloured.

Convert the given decimal fractions to per cents.

(a) 0.65 (b) 2.1 (c) 0.02 (d) 12.35

Convert the given fractional numbers to per cents.

(a)  (b) 

(c)  (d) 

Population of Rajasthan = 570 lakhs and population of UP = 1660 lakhs.

Area of Rajasthan = 3 lakh km2 and area of UP = 2 lakh km2.

(i) How many people are there per km2 in both these States?

(ii) Which State is less populated?

In a computer lab, there are 3 computers for every 6 students. How many computers will be needed for 24 students?

Find the ratio of:

(a) Rs 5 to 50 paise (b) 15 kg to 210 g

(c) 9 m to 27 cm (d) 30 days to 36 hours