Easy Tutorial
For Competitive Exams

Aptitude Profit and Loss Practice Q&A - Easy

3099.On selling 17 balls at Rs. 720, there is a loss equal to the cost price of 5 balls. The cost price of a ball is:
Rs. 45
Rs. 50
Rs. 55
Rs. 60
Explanation:

[C.P. of 17 balls] - [S.P. of 17 balls] = [C.P. of 5 balls]

$\Rightarrow$ C.P. of 12 balls = S.P. of 17 balls = Rs.720.

$\Rightarrow$ C.P. of 1 ball = Rs.$ \left(\dfrac{720}{12} \right) $= Rs. 60.

3100.A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?
3
4
5
6
Explanation:

C.P. of 6 toffees = Re. 1

S.P. of 6 toffees = 120% of Re. 1 = Rs.$ \dfrac{6}{5} $

For Rs.$ \dfrac{6}{5} $, toffees sold = 6.

For Re. 1, toffees sold =$ \left(6 \times\dfrac{5}{6} \right) $= 5.

3101.When a plot is sold for Rs. 18,700, the owner loses 15%. At what price must that plot be sold in order to gain 15%?
Rs. 21,000
Rs. 22,500
Rs. 25,300
Rs. 25,800
Explanation:

85 : 18700 = 115 : $ x $

$\Rightarrow x $ =$ \left(\dfrac{18700 \times 115}{85} \right) $= 25300.

Hence, S.P. = Rs. 25,300.

3102.If a material is sold for Rs.34.80, there is a loss of 25%. Find out the cost price of the material?
Rs.46.40
Rs.44
Rs.42
Rs.47.20
Explanation:

SP = 34.80

Loss = 25%

CP = $\dfrac{100}{(100 - Loss\%)} \times SP$ = $\dfrac{100}{(100 - 25)} \times 34.80$ = $\dfrac{100}{75}$ x 34.80

= $\dfrac{4 \times 34.80}{3}$ = 4 x 11.60 = 46.40

3103.A shopkeeper expects a gain of 22.5% on his cost price. If in a week, his sale was of Rs. 392, what was his profit?
Rs. 18.20
Rs. 70
Rs. 72
Rs. 88.25
Explanation:

C.P. = Rs.$ \left(\dfrac{100}{122.5} \times 392\right) $= Rs.$ \left(\dfrac{1000}{1225} \times 392\right) $= Rs. 320

$\therefore$ Profit = Rs. (392 - 320) = Rs. 72.

3104.Alfred buys an old scooter for Rs. 4700 and spends Rs. 800 on its repairs. If he sells the scooter for Rs. 5800, his gain percent is:
4$ \dfrac{4}{7} $%
5$ \dfrac{5}{11} $%
10%
12%
Explanation:

Cost Price (C.P.) = Rs. (4700 + 800) = Rs. 5500.

Selling Price (S.P.) = Rs. 5800.

Gain = (S.P.) - (C.P.) = Rs.(5800 - 5500) = Rs. 300.

Gain % =$ \left(\dfrac{300}{5500} \times 100\right) $%= 5$ \dfrac{5}{11} $

3109.Some articles were bought at 6 articles for Rs. 5 and sold at 5 articles for Rs. 6. Gain percent is:
30%
33$ \dfrac{1}{3} $%
35%
44%
Explanation:

Suppose, number of articles bought = L.C.M. of 6 and 5 = 30.

C.P. of 30 articles = Rs.$ \left(\dfrac{5}{6} \times 30\right) $= Rs. 25.

S.P. of 30 articles = Rs.$ \left(\dfrac{6}{5} \times 30\right) $= Rs. 36.

$\therefore$ Gain % =$ \left(\dfrac{11}{25} \times 100\right) $% = 44%.

3110.A man buys a cycle for Rs. 1400 and sells it at a loss of 15%. What is the selling price of the cycle?
Rs. 1090
Rs. 1160
Rs. 1190
Rs. 1202
Explanation:

S.P. = 85% of Rs. 1400 = Rs.$ \left(\dfrac{85}{100} \times 1400\right) $= Rs. 1190

3112.By selling an item for Rs.15, a trader loses one sixteenth of what it costs him. The cost price of the item is
Rs.14
Rs.15
Rs.16
Rs.17
Explanation:

SP =15

Loss = $\dfrac{CP}{16}$

Loss = CP - SP = CP - 15

$\Rightarrow \dfrac{CP}{16}$ = CP - 15

$\Rightarrow \dfrac{15 CP}{16}$ = 15

$\Rightarrow \dfrac{CP}{16}$ = 1

$\Rightarrow$ CP = 16

3114.If selling price is doubled, the profit triples. Find the profit percent.
66$ \dfrac{2}{3} $
100
105$ \dfrac{1}{3} $
120
Explanation:

Let C.P. be Rs. $ x $ and S.P. be Rs. $ y $.

Then, 3$\left(y - x\right)$ =$\left(2y - x\right)$ $\Rightarrow y $ = 2$ x $.

Profit = Rs. $\left(y-x\right)$ = Rs.$\left(2x-x\right)$ = Rs. $ x $.

$\therefore$ Profit % =$ \left(\dfrac{x}{x} \times 100\right) $% = 100%

$\Rightarrow x $ = 16.

3115.A trader mixes 26 kg of rice at Rs. 20 per kg with 30 kg of rice of other variety at Rs. 36 per kg and sells the mixture at Rs. 30 per kg. His profit percent is:
No profit, no loss
5%
8%
10%
Explanation:

C.P. of 56 kg rice = Rs.$ (26 \times 20 + 30 \times 36)$ = Rs. (520 + 1080) = Rs. 1600.

S.P. of 56 kg rice = Rs.$ (56 \times 30)$ = Rs. 1680.

$\therefore$ Gain =$ \left(\dfrac{80}{1600} \times 100\right) $% = 5%.

44247.An article is purchased for Rs. 450 and sold for Rs. 500. Find the gain percent.
100/9 %
100%
100/5%
10 %
Explanation:
Gain = SP – CP
= 500 – 450
= 50.
Gain% = (50/450)*100
= 100/9 %
44248.A man sold a fan for Rs. 465. Find the cost price if he incurred a loss of 7%.
Rs. 550
Rs. 600
Rs. 50
Rs. 500
Explanation:
CP = [100 / (100 – Loss %)] * SP
Therefore, the cost price of the fan
= (100/93)*465
= Rs. 500
44249.In a transaction, the profit percentage is 80% of the cost. If the cost further increases by 20% but the selling price remains the same, how much is the decrease in profit percentage?
20%
30%
40%
50%
Explanation:
Let us assume CP = Rs. 100.
Then Profit = Rs. 80 and selling price = Rs. 180.
The cost increases by 20% → New CP = Rs. 120, SP = Rs. 180.
Profit % = 60/120 * 100 = 50%.
Therefore, Profit decreases by 30%.
44250. A man bought some toys at the rate of 10 for Rs. 40 and sold them at 8 for Rs. 35. Find his gain or loss percent.
9.400%
9%
9.375%
10%
Explanation:
Cost price of 10 toys = Rs. 40 → CP of 1 toy = Rs. 4.
Selling price of 8 toys = Rs. 35 → SP of 1 toy = Rs. 35/8
Therefore, Gain = 35/8 – 4 = 3/8.
Gain percent = (3/8)/4 * 100 = 9.375%
44251.The cost price of 10 pens is the same as the selling price of n pens. If there is a loss of 40%, approximately what is the value of n?
17 (approx)
16 (approx)
15 (approx)
14 (approx)
Explanation:
Let the price of each pen be Re. 1.
Then the cost price of n pens is Rs. n and
the selling price of n pens is Rs. 10.
Loss = n-10.
Loss of 40% → (loss/CP)*100 = 40
Therefore, [(n-10)/n]*100 = 40 → n = 17 (approx)
44252.A dishonest merchant sells his grocery using weights 15% less than the true weights and makes a profit of 20%. Find his total gain percentage.
40%
40.17%
41.17%
41%
Explanation:
Let us consider 1 kg of grocery bag. Its actual weight is 85% of 1000 gm = 850 gm.
Let the cost price of each gram be Re. 1. Then the CP of each bag = Rs. 850.
SP of 1 kg of bag = 120% of the true CP
Therefore, SP = 120/100 * 1000 = Rs. 1200
Gain = 1200 – 850 = 350
Hence Gain % = 350/850 * 100 = 41.17%
44261.A TV is purchased for Rs.3000 and sold for Rs.2500. Find the profit or loss percentage.
Profit 15.25%
Loss 16.67%
Loss 15.25%
Profit 16.67%
Explanation:
From the question, you know that CP = Rs.3000, SP = Rs.2500
Here SP is lesser than CP. So there is loss.
According to formula, Loss = CP – SP
= 3000 – 2500 = Rs. 500
Loss % = Loss/CP x 100
= 500/3000 x 100
= 16.67%
44262. Anu bought oranges at the rate of 10 for Rs.40 and sold them at the rate of 15 for Rs.75. How many oranges should be sold to make a net profit of Rs.50?
45
48
50
53
Explanation:
From question we know CP of 10 oranges = 40
Therefore, CP of 1 orange = 40/10 = Rs.4
And, SP of 15 oranges = 75
So, SP of 1 orange = 75/15 = Rs.5
By formula, Profit for 1 orange = SP – CP = 5 – 4 = 1
To calculate the number of oranges required so that Anu makes Rs. 50 as total profit, we can use the direct proportion table method as follows
Oranges Profit 1 Rs. 1 X Rs. 50 Since number of oranges and profit will be in direct proportion, we can write:
OrangesProfit
1Rs. 1
XRs. 50
Therefore, she needs to sell 50 oranges to make profit of Rs. 50.
44263.A shopkeeper sold two dolls at Rs.500 each. He sold one at 20% of loss and other at 20% profit. Find his profit or loss percentage.
Profit 5%
Profit 4%
Loss 5%
Loss 4%
Explanation:
In such problems where SP for two transactions is same as well as profit and loss percentages in both the transactions are same, you can use the formula
Loss % = (X/10)2 , where X = profit percentage = loss percentage
Therefore, Loss % = (X/10)2 = (20/10)2 = 400/100 = 4%
Share with Friends