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# NCERT solutions Mathematics Class 8 chapter 8 Comparing Quantities

## Chapter 8 - Comparing Quantities

#### Pages 119 - 120

Find the ratio of the Speed of a cycle 15 km per hour to the speed of scooter 30 km per hour.

Q 1.1 | Page 119

Find the ratio of 5 m to 10 km

Q 1.2 | Page 119

Find the ratio of 50 paise to Rs 5

Q 1.3 | Page 119

Convert the following ratios to percentages.

3:4

Q 2.1 | Page 119

Convert the following ratios to percentages.

2:3

Q 2.2 | Page 119

72% of 25 students are good in mathematics. How many are not good in mathematics?

Q 3 | Page 119

A football team won 10 matches out of the total number of matches they played. If their win percentage was 40, then how many matches did they play in all?

Q 4 | Page 119

If Chameli had Rs 600 left after spending 75% of her money, how much did she have in the beginning?

Q 5 | Page 119

If 60% people in city like cricket, 30% like football and the remaining like other games, then what per cent of the people like other games? If the total number of people are 50 lakh, find the exact number who like each type of game.

Q 6 | Page 120

#### Page 125

A man got a 10% increase in his salary. If his new salary is Rs 1,54,000, find his original salary.

Q 1 | Page 125

On Sunday 845 people went to the Zoo. On Monday only 169 people went. What is the per cent decrease in the people visiting the zoo on Monday?

Q 2 | Page 125

A shopkeeper buys 80 articles for Rs 2,400 and sells them for a profit of 16%. Find the selling price of one article.

Q 3 | Page 125

The cost of an article was Rs 15,500. Rs 450 were spent on its repairs. If it is sold for a profit of 15%, find the selling price of the article

Q 4 | Page 125

A VCR and TV were bought for Rs 8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

Q 5 | Page 125

During a sale, a shop offered a discount of 10% on the marked prices of all the items. What would a customer have to pay for a pair of jeans marked at Rs 1450 and two shirts marked at Rs 850 each?

Q 6 | Page 125

A milkman sold two of his buffaloes for Rs 20,000 each. On one he made a gain of 5% and on the other a loss of 10%. Find his overall gain or loss.

(Hint: Find CP of each)

Q 7 | Page 125

The price of a TV is Rs 13,000. The sales tax charged on it is at the rate of 12%. Find the amount that Vinod will have to pay if he buys it,

Q 8 | Page 125

Arun bought a pair of skates at a sale where the discount given was 20%. If the amount he pays is Rs 1,600, find the marked price.

Q 9 | Page 125

I purchased a hair-dryer for Rs 5,400 including 8% VAT. Find the price before VAT was added.

Q 10 | Page 125

#### Pages 133 - 134

Calculate the amount and compound interest on Rs 10800 for 3 years at 12 1/2 % per annum compounded annually.

Q 1.1 | Page 133

Calculate the amount and compound interest on  Rs 18000 for 2 1/2 years at 10% per annum compounded annually.

Q 1.2 | Page 133

Calculate the amount and compound interest on Rs 62500 for 1 1/2 years at 8% per annum compounded half yearly.

Q 1.3 | Page 133

Calculate the amount and compound interest on Rs 8000 for 1 year at 9% per annum compound half yearly. (You could use the year by year calculation using SI formula to verify)

Q 1.4 | Page 133

Calculate the amount and compound interest on Rs 10000 for 1 year at 8% per annum compounded half yearly.

Q 1.5 | Page 133

Kamala borrowed Rs 26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

(Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2nd year amount for 4/12 years.)

Q 2 | Page 133

Fabina borrows Rs 12,500 at 12% per annum for 3 years at simple interest and Radha borrows the same amount for the same time period at 10% per annum, compounded annually. Who pays more interest and by how much?

Q 3 | Page 134

I borrowed Rs 12000 from Jamshed at 6% per annum simple interest for 2 years. Had I borrowed this sum at 6% per annum compound interest, what extra amount would I have to pay?

Q 4 | Page 134

Vasudevan invested Rs 60000 at an interest rate of 12% per annum compounded half yearly. What amount would he get

(1) after 6 months?

(2) after 1 year?

Q 5 | Page 134

Arif took a loan of Rs 80,000 from a bank. If the rate of interest is 10% per annum, find the difference in amounts he would be paying after 1 1/2 years if the interest is

(1) Compounded annually

(2) Compounded half yearly

Q 6 | Page 134

Maria invested Rs 8,000 in a business. She would be paid interest at 5% per annum compounded annually. Find.

1) The amount credited against her name at the end of the second year

2) The interest for the 3rd year.

Q 7 | Page 134

Find the amount and the compound interest on Rs 10,000 for 1 1/2 years at 10% per annum, compounded half yearly. Would this interest be more than the interest he would get if it was compounded annually?

Q 8 | Page 134

Find the amount which Ram will get on Rs 4,096, he gave it for 18 months at 12 1/2 %per annum, interest being compounded half yearly.

Q 9 | Page 134

The population of a place increased to 54000 in 2003 at a rate of 5% per annum find the population in 2001

Q 10.1 | Page 134

The population of a place increased to 54000 in 2003 at a rate of 5% per annum what would be its population in 2005?

Q 10.2 | Page 134

In a laboratory, the count of bacteria in a certain experiment was increasing at the rate of 2.5% per hour. Find the bacteria at the end of 2 hours if the count was initially 5,06,000.

Q 11 | Page 134

A scooter was bought at Rs 42,000. Its value depreciated at the rate of 8% per annum. Find its value after one year.

Q 12 | Page 134

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