Quantitative Aptitude

General Questions

Quantitative Aptitude Exercise Mode

General Questions

Practice and master this topic with our carefully crafted questions.

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Question 11
On selling 17 balls at ₹ 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:

A
₹ 45
B
₹ 50
C
₹ 55
D
₹ 60
Correct Answer: Option D

(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = ₹ 720.

C.P. of 1 ball = ₹ 720 = ₹ 60.
12

Question 12
When a plot is sold for ₹ 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?

A
₹ 21,000
B
₹ 22,500
C
₹ 25,300
D
₹ 25,800
Correct Answer: Option C

85 : 18700 = 115 : x

x = 18700 x 115 = 25300.
85

Hence, S.P. = ₹ 25,300.

Question 13
A person purchases 90 clocks and sells 40 clocks at a gain of 10% and 50 clocks at a gain of 20%. If he sold all of them at a uniform profit of 15%, then he would have got ₹ 40 less. The cost price of each clock is:

A
₹ 50
B
₹ 60
C
₹ 80
D
₹ 90
Correct Answer: Option C

Let C.P. of clock be ₹ x.

Then, C.P. of 90 clocks = ₹ 90x.

⇒ [(110% of 40x) + (120% of 50x)] - (115% of 90x) = 40

⇒ 44x + 60x - 103.5x = 40

∴ 0.5x = 40 => x = 80

Question 14
By selling an umbrella for ₹ 300, a shop keeper gains 20%. During a clearance sale, the shopkeeper allows a discount of 10% on the marked price. His gain percent during the sale is:

A
7
B
7.5
C
8
D
9
Correct Answer: Option C

Marked price = ₹ 300

C.P. = 100/120 x 300 = ₹ 250

Sale price = 90% of ₹ 300 = ₹ 270

∴ Required gain % = 20/250 x 100 = 8%.

Question 15
Albert buys 4 horses and 9 cows for ₹ 13,400. If he sells the horses at 10% profit and the cows at 20% profit, then he earns a total profit of ₹ 1880. The cost of a horse is:

A
₹ 1000
B
₹ 2000
C
₹ 2500
D
₹ 3000
Correct Answer: Option B

Let C.P. of each horse be ₹ x and C.P. of each cow be ₹ y.

Then, 4x + 9y = 13400 --------- (i)

And, 10% of 4x + 20% of 9y = 1880

⇒ 2/5 x + 9/5 y = 1880 => 2x + 9y = 9400 ----- (ii)

Solving (i) and (ii), we get : x = 2000 and y = 600.

∴ Cost price of each horse = ₹ 2000.

Question 16
The cash difference between the selling prices of an article at a profit of 4% and 6% is ₹ 3. The ratio of the two selling prices is:

A
51:52
B
52:53
C
51:53
D
52:55
Correct Answer: Option B

Let C.P. of the article be ₹ x.

Then, required ratio = 104% of x / 106% of x

= 104/106 = 52/53 = 52:53

Question 17
The price of a VCR is marked at ₹ 12,000. If successive discounts of 15%, 10% and 5% be allowed, then at what price does a customer buy it?

A
₹ 8400
B
₹ 8721
C
₹ 8856
D
None of these
Correct Answer: Option B

Actual price = 95% of 90% of 85% of ₹ 12000

= (95/100 x 90/100 x 85/100 x 12000) = ₹ 8721.

Question 18
A manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18%. The wholesaler sells the same to retailer at a profit of 20%. The retailer in turn sells them to a customer for ₹ 30.09, there by earning a profit of 25%. The cost price for the manufacturer is:

A
₹ 15
B
₹ 16
C
₹ 17
D
₹ 18
Correct Answer: Option C

Let the cost price for the manufacturer be ₹ X.

Then, 125% of 120% of 118% of X = 30.09.

⇒ (125/100 x 120/100 x 118/100 x X) = 3009/100

∴ 177/100 X = 3009/100 => X = ₹ 17

Question 19
On an order of 5 dozen boxes of a consumer product, a retailer receives an extra dozen free. This is equivalent to allowing him a discount of:

A
15%
B
16 1/6%
C
16 2/3%
D
20%
Correct Answer: Option C

Clearly, the retailer gets 1 dozen out of 6 dozens free.

∴ Equivalent discount = 1/6 x 100 = 16 2/3%.

Question 20
By selling 12 toffees for a rupee, a man loses 20%. How many for a rupee should be sell to get a gain of 20%?

A
5
B
8
C
10
D
15
Correct Answer: Option B

Let S.P. of 12 toffees be ₹ X.

Then,

⇒ 80 : 1 = 120 : X or X = 120/180 = 3/2

For ₹ 3/2, toffees sold = 12.

For Re. 1, toffees sold = 12 x 2/3 = 8

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