Chapter 9. Comparing Quantities

Example 1:A shirt with marked price Rs 800 was sold at Rs 680. The rate of discount allowed on the shirt is
(a)10%(b)15%(c)20%(d)25%
Solution:Correct answer is (b).
Example 2:If 7%3 of a number is 42, then the number is
(a)9800(b)8(c)1800(d)180
Solution:Correct answer is (c).
Example 3:If the cost price of 10 shirts is equal to the selling price of 8 shirts, then which of the following is true for the transaction?
(a)Profit of 25%(b)Loss of 25%
(c)Profit of 20%(d)Loss of 20%
Solution:Correct answer is (a).
Example 4:Rs 1600 lent at a compound interest of 5% per annum, compounded half yearly for one year will amount to:
(a)Rs 1640(b)Rs 1680(c)Rs 1681(d)Rs 1764
Solution:Correct answer is (c).

1.Suppose for the principal P, rate R% and time T, the simple interest is S and compound interest is C. Consider the possibilities.
(i) C > S(ii) C = S(iii) C < S
Then
(a)only (i) is correct.
(b)either (i) or (ii) is correct.
(c)either (ii) or (iii) is correct.
(d)only (iii) is correct.
2.Suppose a certain sum doubles in 2 years at r% rate of simple interest per annum or at R% rate of interest per annum compounded annually. We have
(a) r < R(b) R < r(c) R = r(d) can’t be decided
3.The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is
(a) Rs 4,000(b) Rs 4,080(c) Rs 4,280(d) Rs 4,050
4.If marked price of an article is Rs 1,200 and the discount is 12% then the selling price of the article is
(a) Rs 1,056(b) Rs 1,344(c) Rs 1,212(d) Rs 1,188
5.If 90% of x is 315 km, then the value of x is
(a) 325 km(b) 350 km(c) 350 m(d) 325 m

6.To gain 25% after allowing a discount of 10%, the shopkeeper must mark the price of the article which costs him Rs 360 as
(a) Rs 500(b) Rs 450(c) Rs 460(d)Rs 486
7.If a % is the discount per cent on a marked price x, then discount is
(a) xa× 100      (b) ax × 100    (c) x × 100a     (d) 100xa
8.Ashima took a loan of Rs 1,00,000 at 12% p.a. compounded half- yearly. She paid Rs 1,12,360. If (1.06)2 is equal to 1.1236, then the period for which she took the loan is
(a) 2 years(b) 1 year(c) 6 months(d) 112 years
9.For calculation of interest compounded half yearly, keeping the principal same, which one of the following is true.
(a)Double the given annual rate and half the given number of years.
(b)Double the given annual rate as well as the given number of years.
(c)Half the given annual rate as well as the given number of years.
(d)Half the given annual rate and double the given number of years.
10.Shyama purchases a scooter costing Rs 36,450 and the rate of sales tax is 9%, then the total amount paid by her is
(a) Rs 36,490.50(b) Rs 39,730.50
(c) Rs 36,454.50(d) Rs 33,169.50
11.The marked price of an article is Rs 80 and it is sold at Rs 76, then the discount rate is
(a) 5%(b) 95%(c) 10%(d) appx. 11%
12.A bought a tape recorder for Rs 8,000 and sold it to B. B in turn sold it to C, each earning a profit of 20%. Which of the following is true:
(a)A and B earn the same profit.

(b)A earns more profit than B.
(c)A earns less profit than B.
(d)Cannot be decided.
13.Latika bought a teapot for Rs 120 and a set of cups for Rs 400. She sold teapot at a profit of 5% and cups at a loss of 5%. The amount received by her is
(a)Rs 494(b) Rs 546(c) Rs 506(d) Rs 534
14.A jacket was sold for Rs 1,120 after allowing a discount of 20%. The marked price of the jacket is
(a) Rs 1440(b) Rs 1400(c) Rs 960(d) Rs 866.66
15.A sum is taken for two years at 16% p.a. If interest is compounded after every three months, the number of times for which interest is charged in 2 years is
(a) 8(b) 4(c) 6(d) 9
16.The original price of a washing machine which was bought for Rs 13,500 inclusive of 8% VAT is
(a) Rs 12,420(b) Rs 14,580(c) Rs 12,500(d) Rs 13,492
17.Avinash bought an electric iron for Rs 900 and sold it at a gain of 10%. He sold another electric iron at 5% loss which was bought Rs 1200. On the transaction he has a
(a) Profit of Rs 75(b) Loss of Rs 75
(c) Profit of Rs 30(d) Loss of Rs 30
18.A TV set was bought for Rs 26,250 including 5% VAT. The original price of the TV set is
(a) Rs 27,562.50(b) Rs 25,000(c) Rs 24,937.50(d) Rs 26,245
19.40% of [100 – 20% of 300] is equal to
(a) 20(b) 16(c) 140(d) 64
20.Radhika bought a car for Rs 2,50,000. Next year its price decreased by 10% and further next year it decreased by 12%. In the two years overall decrease per cent in the price of the car is
(a) 3.2%(b) 22%(c) 20.8%(d) 8%

Fill in the blanks to make the statements true.
21._________ is a reduction on the marked price of the article.
22.Increase of a number from 150 to 162 is equal to increase of _________ per cent.
23.15% increase in price of an article, which is Rs 1,620, is the increase of Rs _________.
24.Discount = _________ – _________.
25.Discount = Discount % of _________.
26._________ is charged on the sale of an item by the government and is added to the bill amount.
27.Amount when interest is compounded annually is given by the formula _________.
28.Sales tax = tax % of _________.
29.The time period after which the interest is added each time to form a new principal is called the _________.
30._________ expenses are the additional expenses incurred by a buyer for an item over and above its cost of purchase.

31.The discount on an item for sale is calculated on the _________.
32.When principal P is compounded semi-annually at r% per annum for t years, then Amount = _________.
33.Percentages are _________ to fractions with _________ equal to 100.
34.The marked price of an article when it is sold for Rs 880 after a discount of 12% is _________.
35.The compound interest on Rs 8,000 for one year at 16% p.a. compounded half yearly is _________, given that (1.08)2 = 1.1664.
36.In the first year on an investment of Rs 6,00,000 the loss is 5% and in the second year the gain is 10%, the net result is _________.

37.If amount on the principal of Rs 6,000 is written as 6000  351+100 and compound interest payable half yearly, then rate of interest p.a. is _________ and time in years is _________.
38.By selling an article for Rs 1,12,000 a girl gains 40%. The cost price of the article was _________.
39.The loss per cent on selling 140 geometry boxes at the loss of S.P. of 10 geometry boxes is equal to _________.
40.The cost price of 10 tables is equal to the sale price of 5 tables. The profit per cent in this transaction is _________.
41.Abida bought 100 pens at the rate of Rs 3.50 per pen and pays a sales tax of 4%. The total amount paid by Abida is _________.
42.The cost of a tape-recorder is Rs 10,800 inclusive of sales tax charged at 8%. The price of the tape-recorder before sales tax was charged is_________.
43.2500 is greater than 500 by _________%.
44.Four times a number is a _________ % increase in the number.
45.5% sales tax is charged on an article marked Rs 200 after allowing a discount of 5%, then the amount payable is _________.