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Profit and Loss Questions

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A man sold two watches, each for Rs. 495. If he gained 10% on one watch and suffered a loss of 10% on the other, then what is the loss or gain percentage in the transaction?


A1% gain

B1% loss

C2 % loss

D2% gain

ENo gain no loss

Answer: Option B

Explanation:

In such type of Questions, there will be always a Loss
Formula Used: Loss% = ((common Loss and Gain)/10)2
= (10 /10)2 = 1 % loss

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On selling an article for Rs. 240, a trader loses 4 %. In order to gain 10 %, he must sell the article for


ARs. 275

BRs. 280

CRs. 285

DRs. 300

Answer: Option A

Explanation:

Given S.P. = Rs. 240; and Loss = 4 %
? 96 % of C.P. = Rs. 240
? C.P. = (240 x 100)/96 = Rs. 250
10% profit on C.P. = Rs. 25
so S.P. with 10 % profit = 250 + 25 = Rs. 275

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A man bought a number of oranges at 3 for a rupee and an equal number at 2 for a rupee. At what price per dozen, should he sell all to make a profit of 20 %?


ARs. 4

BRs. 5

CRs. 7

DRs. 6

Answer: Option D

Explanation:

If 3 Orange for a rupee
so 12 Orange (1 dozen) for Rs. 4 => Rs. 4 per dozen
If 2 Orange for a rupee
so 12 Orange (1 dozen) for Rs. 6 => Rs. 6 per dozen

Cost price for 2 dozens = Rs. 10 or Rs. 5 per dozen
? To gain 20% = (120 x 5)/100 = Rs. 6 per dozen.
so he must sell them for Rs. 6 per dozen to gain 20% .

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A trader sells two cycles at Rs. 1,188 each and gains 10 % on the first and loses 10 % on the second. What is the profit or loss percent on the whole?


A1 % loss

B1 % gain

C2 % loss

DNo loss or gain

Answer: Option A

Explanation:

In such type of Questions, there will be always a Loss
Formula Used: Loss% = ((common Loss and Gain)/10)2
= (10 /10)2 = 1 % loss

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A milk vendor bought 28 liters of milk at the cost of Rs. 8.50 per liter. After adding some water, he sold the mixture at the same price. If he gains 12.5%, how much water did he add?


A5.5 liters

B4.5 liters

C3.5 liters

D2.5 liters

Answer: Option C

Explanation:

If the milk vendor wants to gain 100% of CP, he must add 28 liters of water
Similarly if the milk vendor wants to gain 12.5 %, he has to add water 12.5% of 28 ltr.
=> water to be added = 12.5 % of 28 = 3.5 liters

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Ram mixed 24 kg of butter at Rs. 150 per kg with 36 kg butter at the rate of Rs. 125 per kg. At what price per kg should he sell the mixture to make a profit of 40% in the transaction?


ARs. 135

BRs. 162

CRs. 189

DRs. 198

ENone of these

Answer: Option C

Explanation:

CP per kg of mixture = [24(150) + 36(125)]/(24 + 36) = Rs. 135
SP = CP[(100 + profit%)/100]
= 135 * [(100 + 40)/100] = Rs. 189.

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A dishonest dealer professes to sell his goods at cost price, but he uses a false weight and thus gains 25%. So for per kilogram he uses false weight of


A700 g

B750 g

C800 g

D850 g

Answer: Option C

Explanation:

Let's assume he puts a weight of 'x grams instead of 1 kg
His gain is (1000 - x) grams on 'x grams
Formula Used: gain% = (profit/CP) * 100 %
? gain % = ((1000 - x)/ x )* 100 %
? 25 % = (1000 - x)/ x * 100 % => 25/100 = (1000 - x)/x => 1/4 = (1000 - x)/x
? x = 4000 - 4x
=> x = 800g

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A man loses 20% of his money. After spending 25% of the remainder, he has Rs. 480 left. What is the amount of money he originally had?


ARs. 600

BRs. 720

CRs. 800

DRs. 840

Answer: Option C

Explanation:

Let amount of money he had be Rs. 100x.
Amount lost = 20x
Amount left = 80x
Amount spent from the remainder = 80x x 25/100 = 20x
Now left = 80x - 20x = 60x
From the question, 60x = 480
x = 8
? original amount of money = 8 x 100 = Rs.800

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A person 'A' sells a table cost of Rs. 2000 to a person 'B' and earns a profit of 6 %. The person 'B' sells it to another person 'C' at a loss of 5 %. At what price did person 'B' sell the table?


ARs. 2014

BRs. 2050

CRs. 2024

DRs. 2054

Answer: Option A

Explanation:

Person 'A' sell to person 'B' and each profit of 6%
So C.P. for B = S.P. of A
=> 106 % of Rs. 2,000
= Rs. 2120
So Person 'A' sell to person 'B at Rs. 2120
=> S.P. for B will be = 95 % of Rs. 2120
=> Rs. 2014

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Sam purchased 20 dozens of toys at the rate of Rs. 375 per dozen. He sold each one of them at the rate of Rs. 33. What was his percentage profit?


A3.5%

B4.5%

C6.5%

D5.6%

Answer: Option D

Explanation:

Cost Price of 1 toy = Rs. (375/12) = Rs. 31.25
Selling Price of 1 toy = Rs. 33
So, Gain = Rs. (33 - 31.25) = Rs. 1.75

Profit % = (1.75/31.25) x 100 % = 28/5 % = 5.6%

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