# Blackberry publication class 8 maths chapter comparing quantities

### COMPARING QUANTITIES

##### EXERCISE 9(A)

1.Express each of the following ratios in the simplest form:
(a) 3 kg 500 g : 4 kg 250 g
(b) 8 months : ​$$1\dfrac{1}{2}$$​ years
(c) 36 minute : $$1\dfrac{1}{2}$$ hours
(d) 14 m : 7 m 35 cm

2.DIivide the number 952 into two parts in the ratio of 3 :5

3.A number is divided in the ratio 15 : 8 .If the second part is 56, find the number.

4.Convert the following into percentage:

(a) ​$$\dfrac{7}{10}$$
(b) 1 : 4
(c) 0.065

5.If 11.5% of a weight is 4.6 kg, find the weight.

6.If a number increases from 75 to 85, then find the percentage of increase.

7.If a weight of 65 kg is reduced to 60 kg, then find the percentage of reduction?

8.There are 56 teachers in a schools. Out of them 42 are female teachers and the rest are male teachers.Find the ratio of :

(a) Male teachers to the female teachers.
(b) Female teachers to the male teachers.
(c) Male teachers to the total numbers of teachers.

9.A boy secured 28% of 500 and failed in  the examination by 10 marks.Find the pass marks percentage and the pass marks.

10.A cake weighting 1.98 kg is cut into two parts so that the first part is heavier than the second by 20%.Find the weight of each part.

11.The ratio of the length to the breadth of a rectangle is 5 : 3. If the perimeter of the rectangle is 144 m , what is the length of the rectangle ?

12.A fort had provisions for 150 mens for 45 days.After 10 days, 25 mens left the fort.How long will the food last at the same rate ?

13.A car covers 144 km in 3 hours.If an autorickshaw covers the same distance in 4 hour, find the ratio of the speed of the car to that of the autorickshaw ?

14.In a railway accident , 84 out of 525 passengers were injured.What % of the passengers were unhurt?

##### EXERCISE 9(B)

1.Find the S.P. when M.P. =₹ 990 and discount = 10%.

2.Find the M.P. when S.P. =₹ 990 and discount = 1%.

3.Find the discount, when M.P. = ₹1880 and S.P.= ₹1504.

4.A shopkeeper buys a shirt for ₹ 480. A girl buys it from him at a discount of ​$$12\dfrac{1}{2}$$​% on the market price of ₹600. Find the profit percent.

5.Amit purchased a flat for ₹ 7,56,000 and spent ₹ 44,000 on renovation .He sold it for ₹ 8,48,000.Find profit or loss percentage.

6.The catalogue price of an article is ₹ 16 , but the retailer is allowed a trade discount of 25% .At what price must the retailer sell it to gain 25% of what he pays for it ?

7.The price of a plate is slashed from ₹ 850 to ₹ 760 by a shopkeeper.Find the rate of discount.

8.The market price of a refrigerator is ₹ 15450. A dealer allows two successive discount at 15% and 8% . Find the selling price of refrigerator.

9.Find the single discount equivalent to successive discount of 13% and 15%.

10.How much percent above the cost should a dealer mark his goods so that after allowing a discount of 26% on the market price, he gains 20%.

##### EXERCISE 9(C)

1.An air conditioner is tested at ₹ 15000.What is the cost of the air conditioner to the customer, if he has to pay 5% as the sale tax?

2.An item is listed at ₹ 195.A sale tax @ 2% is added . What is the cost of the item to the customer?

3.Rahul purchased a coat for ₹ 1260 including tax of 5% VAT.What is the cost of the item before VAT was added?

4.An item is sold at ₹ 4995 in advise of 7% VAT. What is the cost of the item before VAT is added?

##### EXERCISE 9(D)

1.Find the compound interest on ₹ 6,500 in 3 years at 10% per annum compounded annually.

2.₹ 8000 is lent at 5% compound interest per year for 2 years.Find the amount and compound interest.

3.Find the amount & compound interest on ₹ 20,000 in ​$$2\dfrac{1}{2}$$​ years at 10% per annum.

4.Amit deposited a sum of ₹ 50,000 in a bank for 2 years compounded half yearly at 10% per annum .Find the compound interest he gets.

5.Sumeet borrowed ₹ 36,000 from a financier at 25% per annum compounded half yearly.What amount of money will discharge his debt after ​$$\dfrac{1}{2}$$​ years?

6.Find the difference between the simple interest and compound interest on ₹ 1,500 for 3 years at 5% per annum.

7.A man invests ₹ 30,800 at 5% per annum compound interest for 3 year.Calculate:
(a) The interest for the first year.
(b) The amount standing to his credit at the end of the second year.
(c) The interest for the third year.

##### EXERCISE 9(E)

1.How much will ₹ 25,000 amount to in 3 years, compounded yearly, if the rates for the successive years are 6%, 8% and 10% respectively.

2.A man borrowed a sum of money and agrees to pay off by paying ₹ 6300 at the end of the first year and ₹ 8820 at the end of the second year.If the rate of the compound interest is 5% per annum, find the sum borrowed.

3.Calculate the amount and compound interest on ₹ 10,000 for 3 years at 2% per annum.

4.Find the amount of ₹ 12500 for 2 years compounded annually, the rate of interest being 15% for the first year and 16% for the second year.

5.Find the compound interest on ₹ 14000 at 16% per annum for ​$$2\dfrac{3}{4}$$​ years.

##### EXERCISE 9(F)

1.Find the amount and the compound interest on ₹ 50000 for 2 years at 2% per annum compounded half yearly.

2.Find the compound interest on ₹ 5000 for ​$$2\dfrac{1}{2}$$​ years at 5% per  annum, compounded half yearly.

3.A sum of money is lent out at compound interest for 2 years at 20% per annum , compound interest begin reckoned yearly.
If the same sum of money was lent out at compound interest at the same rate per annum, compound interest begin reckoned half yearly it would have fetched ₹ 482 more by way of interest.Calculate the sum of money lent out.
4.What is the difference between the amount on ₹ 50,000 for ​$$1\dfrac{1}{2}$$​ years at 4% per annum compound yearly and half yearly ?

##### EXERCISE 9(G)

1.What sum of money  will amount to ₹ 3630 in 2 years at 10% per annum compound interest ?

2.On what sum of money will the compound interest for 2 years at 8% per annum be ₹ 3744 ?

3.The simple interest on a certain sum for 3 years at 15% is ₹ 9900.Find the compound interest for same time and same rate of interest ?

4.The difference between the compound interest and the single interest on a certain sum at 11% per annum for 2 years is ₹ 36. Find the sum.

5.The simple interest on this sum of money for 2 years at 4% per annum is ₹ 340.Find

(a) The sum of money.

(b) The compound interest on this sum for one year payable half yearly at the same rate.

6.At what rate per cent compound interest per annum will ₹ 6250 amount to ₹ 720 in 2 years ?

7.In what time will ₹ 800 amount to ₹ 882 at 5%  rate per annum compounded annually ?