NTSE Mathematics Commercial Mathematics MCQs Set B

Question: In a selection process comprising of written test, group tasks and interview, only 40% of these who appeared for the selection proves qualified the written test, 80% of those passed in written test qualified in group tasks and 65% of those passed in group tasks qualified for interview. If the number of those qualified finally was only 78, what was the total number of candidates who appeared ?

• a) 375
• b) 150
• c) 120
• d) None of these

Answer: 375

Question: In an examination, A gets 10% marks less than B and B gets 10% marks less than C. If A gets 810 marks, what marks does C get ?

• a) 900
• b) 945
• c) 973
• d) 1,000

Answer: 1,000

Question: If the lengths of rectangle is decreased by 40% and the breadth is increased by 30%, then find the percentage change in the area of the rectangle is

• a) 26%
• b) -35%
• c) -22%
• d) -40%

Answer: -22%

Question: If 25% of A’s income exceeds 20% of B’s income by Rs. 100 their combined income is Rs. 1750, what is A’s income ?

• a) Rs. 750
• b) Rs. 950
• c) Rs. 1,000
• d) Rs. 1,250

Answer: Rs. 1,000

Question: Sales tax on cloth is reduced by 10% but the sales increase by 10% What is the effect on the revenue earned as sales tax ?

• a) Remains the same
• b) Increases by 5.5%
• c) Decreases by 5.5%
• d) Decreases by 1%

Answer: Decreases by 1%

Question: A and B’s salaries are together equal to Rs. 2,100, A spends 80% of his salary and B spends 70%. If they savings are now in the proportion of 4 : 3, what is A’s salary ?

• a) Rs. 900
• b) Rs. 980
• c) Rs. 1,200
• d) Rs. 1,400

Answer: Rs. 1,400

Question: The length, breadth & height of a room in the shape of cuboids are increased by 10%, 20% & 50% respectively. Find the % change in the volume of cuboids ?

• a) 77%
• b) 87%
• c) 98%
• d) 55%

Answer: 98%

Question: A man willed 20% of his property to his grandson 25% of the balance to his son,

of what remaindered to his daughter and 60% of the remaining to his wife. If the son received Rs. 4,000 less than the wife, what the whole property worth ?          

• a) Rs. 75,000
• b) Rs. 94,000
• c) Rs. 1,00,000
• d) Rs. 12,500

Answer: Rs. 1,00,000

Question: On decreasing the price of fans by 30%, the sale is increased by 20%. What is the effect on money receipt by the shopkeeper?

• a) 12%
• b) 16%
• c) 32%
• d) Nil

Answer: 16%

More Questions........................

Question: A dishonest seller used a weight of 800 g in place of 1 kg and ads 20% impurities in sugar. What would be his profit percentage if he claims to be selling at cost price ?

• a) 20%
• b) 44 %
• c) 60%
• d) 50%

Answer: 50%

Question: One kilogram tea and 1 kg sugar together cost Rs. 95. If the price of tea falls by 10% and that of sugar rises by 20%, the price of 1 kg each combined comes to Rs. 90. The original price of tea per kilogram is

• a) Rs. 80
• b) Rs. 72
• c) Rs. 55
• d) 90

Answer: Rs. 80

Question: If an article is sold at 8% profit instead of 8% loss, it would have brought Rs. 12 more. Find out the cost price of the article.

• a) Rs. 72
• b) Rs. 70
• c) Rs. 80
• d) Rs. 75

Answer: Rs. 75

Question: If CP of 23 books is equal to SP of 30 books, then the gain or loss if (You have to assume that all the books cost are same)

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: By selling an article for Rs. 150 one gains Rs. 15, the gain percent is ?

• a) 15%
• b) 12%
• c) 11.11%
• d) None

Answer: 11.11%

Question: By selling 36 Bananas, a vendor loses the selling price of 4 bananas, His loss percent is

• a)

  

• b)

  

• c)

  

• d) 10%

Answer: 10%

Question: Toffees are bought at the rate of 4 for a rupee. To gain 60% they must be sold at

• a) 2.5 for a rupee
• b) 5 for a rupee
• c) 6 for a rupee
• d) 8 for a rupee

Answer: 2.5 for a rupee

Question: Toffees are bought at the rate of 4 for a rupee. To gain 60% they must be sold at

• a) 15%
• b) 12%
• c) 10%
• d) 11%

Answer: 10%

Question: Which one is greater ? I. Successive discounts of 10%, 15% and 12.5% II. Two-stage discount of 20% and 13%.

• a) I only
• b) II only
• c) Both give the same discount
• d) Cannot be determined

Answer: I only

Question: A sells B a plot of land for Rs. 45,000 losing 10% in the transaction. B sells it to C at a price which would have given A, a profit of 10%. By what percentage does B gain ?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A businessman sells at a shirt a profit of 

and invests the proceeds to buy a pant which he sells at a profit of 20%. If he gets Rs. 700 for this, the cost of the shirt approximately is-         

• a) Rs. 600
• b) Rs. 519
• c) Rs. 571
• d) Rs. 548

Answer: Rs. 519

Question: A tradesman marks his goods at 30% above the cost, but is constrained to give a discount of 30% to clear his stock. What is this percentage gain or loss ?

• a) Neither loss or gain
• b) Loss of 1%
• c) Gain of 9%
• d) Loss of 9%

Answer: Loss of 9%

Question: While selling watch a shopkeeper gives a discount of 5%, if the gives a discount of 7%, he earns Rs. 15 less as profit. The marked price of the watch is -

• a) Rs 697.50
• b) 712.50
• c) Rs 787.50
• d) Rs. 750

Answer: Rs. 750

Question: If a certain sum amounts increases up to Rs. 108 in 2 yrs. and Rs. 112 in 3 yrs. Find the principal rate of interest.

• a) 5 %
• b) 6%
• c) 4%
• d) None of these

Answer: 4%

Question: A man earn Rs. 450 as an interest in 2 yrs on a certain sum invested with company at the rate of 12% per annum. Find the sum invested by the main in the company.

• a) Rs. 1785
• b) Rs. 1830
• c) Rs. 1825
• d) Rs. 1810

Answer: Rs. 1785

Question: Difference between C.I. & S.I. in a certain amount at 10% per annum for 2 yrs compound annually is Rs. 282. Find the principal

• a) Rs. 28210
• b) Rs. 28120
• c) Rs. 28200
• d) None

Answer: Rs. 28200

Question: If a sum of money doubles at 12.5% p.a. interest. What is the time period is case of S.I.

• a) 5.88 yrs
• b) 8 yrs
• c) 9.88 yrs
• d) 2.88 yrs

Answer: 8 yrs

Question: If the compound interest of a certain sum for 3 years at 10% per annum be Rs. 331, what would be the simple interest ?

• a) Rs. 320
• b) Rs. 310
• c) Rs. 321
• d) Rs. 300

Answer: Rs. 300

Question: If x, y and z are three sums of money such that y is the simple interest on x ; z is the simple interest on y for the same time and at the same rate of interest then we have

• a) x2 = yx                                             
• b) z2 = xy 
• c) y2 = xz               
• d) xyz = 1

Answer: y2 = xz               

Question: A sum of Rs. 12000 deposited at compound interest become double after 5 years. After 20 years it will become -

• a) 120000
• b) 192000
• c) 124000
• d) 96000

Answer: 192000

Question: A tree increases annually by 1/8 of its height. What will be its height after 2 years, if it stands to days 64 cm high ?

• a) 72 cm
• b) 74 cm
• c) 75 cm
• d) 81 cm

Answer: 81 cm

Question: A book seller allows a discount of 10% on the marked price of a certain category of books. What price must be marked on the book which costs his Rs. 600 to make a profit of 20% ?

• a) Rs. 792
• b) Rs. 800
• c) Rs. 720
• d) Rs. 726

Answer: Rs. 800

Question: The income of property dealer remain unchanged though the rate of commission is increased from 8% to 10%. The percentage of slump in the value of the business is

• a) 2%
• b) 20%
• c) 25%
• d) None of these

Answer: 20%

Question: Find the 30% of, 50% of 40 subtracted from 60% of 60 ?

• a) 4.8
• b) 5
• c) 12
• d) 3.6

Answer: 4.8

Question: 75% of a number when added to 75 is equal to the number. Find the number ?

• a) 250
• b) 500
• c) 300
• d) 400

Answer: 300

Question: Mr. Alphonso buys 2 lots of mangoes. The first lot costs him Rs. 30 per dozen and the second lot Rs. 50 per dozen. He sold all the mangoes at Rs. 40 per dozen. Find his profit or loss percentage if he spent he same amount of money on each of the lots.

• a) 

  

• b)

  

• c) 5% profit
• d) None of these

Answer:

Question: Two horses were sold for Rs. 12,000 each, one at a loss of 20% and the other at a gain of 20%. The entire transaction resulted in

• a) No loss, no gain
• b) A loss of Rs. 1,000
• c) A gain of Rs. 1,000
• d) None of these

Answer: A loss of Rs. 1,000

Question: In mathematics exam a student scored 30% of marks in the first paper out of a total of 180. How much should be score in the 2nd paper out of 150, if he is to get an overall of at least 50% ?

• a) 8%
• b) 76%
• c) 74%
• d) 70%

Answer: 74%

Question: 25% of a number is more than 18% of 650 by 19. Find the number

• a) 560
• b) 750
• c) 720
• d) 544

Answer: 544

Question: In a college election a candidate secured 62% of the total votes polled and is elected by a majority of 144 votes, find the total number of votes polled ?

• a) 700
• b) 500
• c) 1000
• d) None of these

Answer: None of these

Question: If the side of a squire is increased by 30% it’s area is increased by how much percent ?

• a) 60%
• b) 69%
• c) 70%
• d) None of these

Answer: 69%

Question: If the cost price of 12 books is the same as the selling price of 16 books, the loss percentage is

• a) 15%
• b) 20%
• c) 25%
• d) 30%

Answer: 25%

Question: A man bought a number of bananas at 3 for a rupee and an equal number at 2 for rupee. At what price per dozen should be sell them to make a profit of 20% ?

• a) Rs. 4
• b) Rs. 6
• c) Rs. 7
• d) Rs. 8

Answer: Rs. 6

Question: A producer of tea blends two varieties costing Rs. 18 per kilogram and another Rs. 20 per kilogram in the ratio 5 : 3. If he sells the blended variety at Rs. 21 per kilogram, What is his gain percentage ?

• a) 10%
• b) 12%
• c) 19%
• d) 22%

Answer: 10%

Question: A dealer who professes to sell his goods at cost price used a 900 g weight for a kilogram. His gain percentage is

• a) 9%
• b) 10%
• c) 11.11%
• d) 11.21%

Answer: 11.11%

Question: The cost price of an article is 40% of the selling price. The percentage that the selling price is of the cost price is

• a) 40%
• b) 60%
• c) 250%
• d) 280%

Answer: 250%

Question: By selling an article, there is a loss of 2.5%. By selling it at Rs. 6 more, there is a gain 5%. The cost price of the article is

• a) Rs. 78
• b) Rs. 80
• c) Rs. 82
• d) Rs. 84

Answer: Rs. 80

Question: The difference between the discounts of 40% on Rs. 500 and two successive discounts of 36% and 4% of the same price is

• a) Nil
• b) Rs. 2
• c) Rs 7.20
• d) Rs. 1.93

Answer: Rs 7.20

Question: The salaries of A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries ?

• a) 3 : 3 : 10
• b) 10 : 11 : 20
• c) 23 : 33 : 60
• d) Cannot be determined

Answer: 23 : 33 : 60

Question: In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there are Rs. 30 is all, how many 5 p coins are there ?

• a) 50
• b) 100
• c) 150
• d) 200

Answer: 150

Question: A sum of Rs. 1300 is divided amongst P, Q, R and S such that 

Then P’s share is :

• a) Rs. 140
• b) Rs. 160
• c) Rs. 240
• d) Rs. 320

Answer: Rs. 160

Question: The numbers are respectively 20% and 50% more than a third number. The ratio of the two number is :

• a) 2 : 5
• b) 3 : 5
• c) 4 : 5
• d) 6 : 7

Answer: 4 : 5

Question: The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the number of boys and girls be 20% and 10% respectively, what will be the new ratio ?

• a) 8 : 9
• b) 17 : 18
• c) 21 : 22
• d) Cannot be determined

Answer: 21 : 22

Question: The ratio of third proportional of 12 and 30 and the mean proportional between 9 and 25 is :

• a) 2 : 1
• b) 5 : 1
• c) 7 : 15
• d) 9 : 14

Answer: 5 : 1

Question: The ratio of the incomes of A and B is 5 : 4 and the ratio of their expenditures is 3 : 2. if at the end of the year, each saves Rs. 1600, then the income of A is :

• a) Rs. 3400
• b) Rs. 3600
• c) Rs. 4000
• d) Rs. 4400

Answer: Rs. 4000

Question: A sum of Rs. 53 is divided among A,B,C in such a way that A gets Rs. 7 more than what B gets and B gets Rs. 8 more than what C gets. The ratio of their shares is :

• a) 16 : 9 : 18
• b) 25 : 18 : 10
• c) 18 : 25 : 10
• d) 15 : 8 : 30

Answer: 25 : 18 : 10

Question: If A : B : C = 2 : 3 : 4, then

• a) 4 : 9 : 16
• b) 8 : 9 : 12
• c) 8 : 9 : 16
• d) 8 : 9 : 24

Answer: 8 : 9 : 24

Question: If 2A = 3B and 4B = 5C, then A : C is :

• a) 4 : 3
• b) 8 : 15
• c) 15 : 8
• d) 3 : 4

Answer: 15 : 8

Question: The ratio of 4^3.5 : 2⁵ is same as :           

• a) 2 : 1
• b) 4 : 1
• c) 7 : 5
• d) 7 : 10

Answer: 4 : 1

Question: If (4x2 - 3y2) : (x2 + 5y2) + 12 : 19, then (x : y) is :       

• a) 2 : 3
• b) 1 : 2
• c) 3 : 2
• d) 2 : 1

Answer: 3 : 2

Question: If 5x2 = 13xy + 6y2 = 0, then x : y is : 

• a) (2 : 1) only
• b) (3 : 5) only
• c) (5 : 3) or (1 : 2)
• d) (3 : 5) or (2 : 1)

Answer: (3 : 5) or (2 : 1)