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Profit and Loss Questions

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Choose the correct option.

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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A shopkeeper sells sugar in such a way that the selling price of 950g of sugar is the same as the cost price of l kg of sugar. What is his gain percent?


A5 5/19

B5 1/5

C5

D4 1/19

Answer: Option A

Explanation:

Profit percent = [(True weight - False weight)/False weight]*100
= [(1000 - 950)/950]*100
= 100/19 =5 5/19

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A person bought a horse and a carriage for Rs. 20000. Later, he sold the horse at 20% profit and the carriage at 10% loss. Thus he gained 2% 1n the whole transaction. The cost price of the horse was


ARs. 7200

BRs. 7500

CRs. 8000

DRs. 9000

Answer: Option C

Explanation:

If the CP of horse be Rs. x,
then
CP of carriage = Rs.(20000 - x)
so x * 120/100 +(20000 - x)*90/100
= 20000 * 102/100
=> l20x + 1800000 90x = 2040000
=> 30x = 2040000 - 1800000 = 240000

so x = 240000/30 = Rs. 8000

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A sell an article to B at 15% profit. B sells it to C at 10% loss. If c pays Rs. 517.50 for It then A purchased it at


ARs. 500

BRs. 750

CRs. 1000

DRs. 1250

Answer: Option A

Explanation:

If an article is sold to B at x% profit/loss and B sells the same
to C at y% profit/loss then C's C.P.
= A's C.P. [(100+x)/100] * [(100+y)/100]
so A's C.P. = C's CP
=517.50 * 100/115 * 100/90 = Rs.500

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An article ls sold at a certain fixed price. By selling it at 2/3 of that price, one loses 10%. The gain percent on selling it at the original price is


A20

B33 1/3

C35

D40

Answer: Option C

Explanation:

Let the C.P. of the article be Rs. 100

=> S.P. of the article * 2/3 = 90
=> S.P of the article = 90x3/2 = 135

Profit percent at the original price = 35

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A sells an article to B for Rs. 45,000 losing 10% in the transaction. B sells it to C at a price which would have given a profit of 10% to A. By what per cent


A75/2

B100/3

C200/9

D150/7

Answer: Option C

Explanation:

A's C.P. = 45000 * 100/90 = Rs. 50000
so B's S.P. = 50000 * 110/100 = Rs. 55000
So B's profit per cent = (10000/45000)*100 = 200/9

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The cost price of an article ls 80% of its marked price for sale. How much percent does the trades-man gain after allowing a discount of 12%?


A20

B10

C12

D8

Answer: Option B

Explanation:

C.P. of the article = Rs. 100

So Marked price = (100*100)/80 = Rs. 125
SP after the discount = Rs.(125*88)/100 = Rs. 110

therefore Gain percent = 10

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