M l aggarwal understanding icse mathematics class 8 Solutions for Chapter 7 percentage

Express the following percentages as fractions:

(i) 356%

(ii) 2 ½%

(iii) 16 2/2 %

Express the following fractions as percentages:

(i) 3/2

(ii) 9/20

(iii) 1 ¼

Express the following fractions as decimals. Then express the decimals as percentages:

(i) ¾

(ii) 5/8

(iii) 3/16

Express the following fractions as decimals correct to four decimal places. Then express the decimals as

percentages:

(i) 2/3

(ii) 5/6

(iii) 4/7

Express the following ratios as percentages:

(i) 17: 20

(ii) 13: 18

(iii) 93: 80

Express the following percentages as decimals:

(i) 20%

(ii) 2%

(iii) 3 ¼ %

Find the value of:

(i) 27 % of ₹ 50

(ii) 6 ¼ % of 25 kg

What percent is:

(i) 300 g of 2 kg

(ii) ₹ 7.50 of ₹ 6

What percent of:

(i) 50 kg is 65 kg

(ii) ₹ 9 is ₹ 4

(i) If 16 2/3 % of a number is 25, find the number.

(ii) If 13.25 % of a number is 159, find the number.

i) Increase the number 60 by 30 %

(ii) Decrease the number 750 by 10%

(i) What number when increased by 15% becomes 299?

(ii) On decreasing the number by 18%, it becomes 697. Find the number

Mr. Khanna spent 83% of his salary and saved ₹ 1870. Calculate his monthly salary.

In school, 38% of the students are girls. If the number of boys is 1023, find the total strength of the

school.

The price of an article increases from ₹ 960 to ₹ 1080. Find the percentage increase in the price.

In a straight contest, the loser polled 42% votes and lost by 14400 votes. Find the total number of votes

polled. If the total number of eligible voters was 1 lakh, find what percentage of voters did not vote.

Out of 8000 candidates, 60% were boys. If 80% of the boys and 90% of the girls passed the exam, find

the number of candidates who failed.

In an exam, ¼ of the students failed both in English and Maths, 35% of the students failed in Maths and

30% failed in English.

(i) Find the percentage of students who failed in any of the subjects.

(ii) Find the percentage of students who passed in both subjects.

(iii) If the number of students who failed only in English was 25, find the total number of students.

On increasing the price of an article by 16%, it becomes ₹ 1479. What was its original price?

Pratibha reduced her weight by 15%. If now she weighs 59.5 kg, what was her earlier weight?

In a sale, a shop reduces all its prices by 15%. Calculate:

(i) the cost of an article that was originally priced at ₹ 40.

(ii) the original price of an article which was sold for ₹ 20.40

Increase the price of ₹ 200 by 10% and then decrease the new price by 10%. Is the final price the same as

the original one?

Chandani purchased some parrots. 20% flew away and 5% died. Of the remaining, 45% were sold.

Now 33 parrots remain. How many parrots had Chandani purchased?

A candidate who gets 36% marks in an examination fails by 24 marks but another candidate, who gets

43% marks, gets 18 more marks than the minimum pass marks. Find the maximum marks and the

percentage of pass marks.

Find the profit or loss percentage, when:

(i) C.P. = ₹ 400, S.P. = ₹ 468

(ii) C.P. = ₹ 13600, S.P. = ₹ 12104

By selling an article for ₹ 1636.25, a dealer gains ₹ 96.25. Find his gain percent.

By selling an article for ₹ 770, a man incurs a loss of ₹ 110. Find his loss percentage.

Rashida bought 25 dozen eggs at the rate of ₹ 9.60 per dozen. 30 eggs were broken in the transaction and she sold the remaining eggs at one rupee each. Find her gain or loss percentage

The cost of an article was ₹ 20000 and ₹ 1400 were spent on its repairs. If it is sold for a profit of 20 %,

find the selling price of the article.

A shopkeeper buys 200 bicycles at ₹ 1200 per bicycle. He spends ₹ 30 per bicycle on transportation. He also spends ₹ 4000 on advertising. Then he sells all the bicycles at ₹ 1350 per piece. Find his profit or loss.

Also, calculate it as a percentage.

The cost price of an article is 90% of its selling price. Find his profit percentage.

Rao bought notebooks at the rate of 4 for ₹ 35 and sold them at the rate of 5 for ₹ 58. Calculate

(i) his gain percentage.

(ii) the number of notebooks he should sell to earn a profit of ₹ 171.

A vendor buys bananas at 3 for a rupee and sells at 4 for a rupee. Find his profit or loss percentage.

A shopkeeper buys a certain number of pens. If the selling price of 5 pens is equal to the cost price of 7

pens, find his profit or loss percentage

Find the selling price, when:

(i) Cost price = ₹ 2360, Profit = 8 %

(ii) Cost price = ₹ 380, Loss = 7.5 %

A dealer bought a number of eggs at ₹ 18 a dozen and sold them at 50% profit. Find the selling price

per egg.

Find the discount and the selling price, when:

(i) the marked price = ₹ 575, discount = 12%

(ii) the printed price = ₹ 12750, discount = 8 1/3%

Find the discount and the discount percentage, when:

(i) marked price = ₹ 780, selling price = ₹ 721.50

(ii) advertised price = ₹ 28500, selling price = ₹ 24510

A notebook is marked at ₹ 30. Find the price a student pays for a dozen notebooks if he gets a 15% discount

A dealer gave a 9% discount on an electric fan and charges ₹ 728 from the customer. Find the marked

price of the fan.

The list price of an article is ₹ 800 and a dealer is selling it at a discount of 20 %. Find:

(i) the selling price of the article.

(ii) the cost price of the article if he makes 25% profit on selling it.

A shopkeeper marks his goods at such a price that would give him a profit of 10% after allowing a

discount of 12%. If an article is marked at ₹ 2250, find its:

(i) selling price

(ii) cost price.

A shopkeeper purchased a calculator for ₹ 650. He sells it at a discount of 20% and still makes a profit of

20%. Find:

(i) the selling price

(ii) marked price

A shopkeeper buys a dinner set for ₹ 1200 and marks it 80% above the cost price. If he gives 15 %

discount on it, find:

(i) the marked price

(ii) the selling price

(iii) his profit percentage

The cost price of an article is ₹ 1600, which is 20% below the market price. If the article is sold at a discount of 16%, find:

(i) the marked price

(ii) the selling price

(iii) profit percentage

A shopkeeper allows a 20% discount on his goods and still earns a profit of 20%. If an article is sold for ₹ 360, find:

(i) the marked price

(ii) the cost price

Find the buying price of each of the following when 5% S.T. is added on the purchase of

(i) a towel of ₹ 50

(ii) 5 kg of flour at ₹ 15 per kg.

If 8% of VAT is included in the prices, find the original price of

(i) a TV bought for ₹ 13500

(ii) a shampoo bottle bought for ₹ 180.

Utkarsh bought an AC for ₹ 34992 including a VAT of 8%. Find the price of AC before VAT was added.

Gaurav bought a shirt for ₹1296 including VAT. If the original price of the shirt is ₹ 1200, find the rate

of VAT.

Anjana buys a purse for ₹ 523.80 including 8% VAT. Find the new selling price of the purse if VAT

increases to 10%.

A wall hanging is marked for ₹ 4800. The shopkeeper offers a 10% discount on it. If VAT is received 8% from the customer, find the amount paid by the customer to purchase the wall hanging.

Amit goes to a shop to buy a washing machine. The marked price of the washing machine is ₹ 10900 excluding 9% VAT. Amit bargains with the shopkeeper and convinces him for ₹ 10900 including VAT as the final cost of the washing machine. Find the amount reduced by the shopkeeper.