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# Profit and Loss Questions

Home > Quantitative Aptitude > Profit and Loss > General Questions
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A man bought some mangoes at Rs. 12 per dozen and bought the same number of at Rs 10 per kg. He sold these mangoes at Rs 13 per dozen and gained Rs 160.The total number of mangos bought by him:

A60 dozens

B70 dozens

C80 dozens

D90 dozens

Explanation:

Lets assume total no of mangoes = 2x..
Then we profit=sp-cp
160=13*2x-(12x+10x)
160=4x
x=40
hence 2x=80 dozens

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Two merchants sell, each an article for Rs.1000. If Merchant A computes his profit on cost price, while Merchant B computes his profit on selling price, they end up making profits of 25% respectively. By how much is the profit made by Merchant B greater than that of Merchant A?

ARs.66.67

BRs. 50

CRs.125

DRs.200

Explanation:

profit on cost price = 1000-(100/125)*1000= 200 (selling price-cost price)
profit on selling price = (25/100)*1000 = 250
difference = 50

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Anil purchases two books for Rs.100. He sells first at loss of 5% and second al 20% profit. If he gets Overall profit of 5% then what is cost of first book?

ARs.45

BRs.60

CRs.55

DRs.58

Explanation:

If cost of first book=x then second book=100-x
According to given condition x*(95/100) + (100-x)*(120/100) =100*(105/100) or
0.95x +120 -1.2x=105
x=60

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The cost price of 20 articles is the same as the selling price of x articles. If the profit is 25%, then the value of x is:

A15

B16

C18

D25

Explanation:

Lets assume the cost price of 1 article = z.
So, the cost price of 20 article = 20z. -------------- (1)

Selling Price of 20 articles = (20z + 25% of 20z) = 25z.
So, Selling Price of 1 article = 25z/20 = (5/4)*z
=> Selling Price of x articles = (5/4)*z*x -------------- (2)

Given that Selling Price (S.P.) of x articles = Cost Price (C.P.) of 20 articles.

By solving eq. (1) and (2)

so, (5/4)*z*x = 20z.
=> x = 16.

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Gauri went to the stationers and bought things worth Rs. 25, out of which 30 paise went on sales tax on taxable purchases. If the tax rate was 6%, then what was the cost of the tax free items?

ARs. 15

BRs. 15.70

CRs. 19.70

DRs. 20

Explanation:

Let the amount taxable purchases be Rs. x.
Then, 6% of x = 30 / 100.
=> x = 30/ 100 x 100/6 = 5.
Cost of tax free items = Rs. [25 - (5 + 0.30)] = Rs. 19.70.

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In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% in both. The percentage of these who passed in both the subjects is :

A10%

B20%

C30%

D40%

Explanation:

Students fail in Hindi or English: 35+45-20=60

Therefore, pass = 100-60=40 => 40%

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By selling toffees at 20 for a rupee, a man loses 4 %. To gain 20 for one rupee, he must sell

A16 toffees

B20 toffees

C24 toffees

D25 toffees

Explanation:

20(96/100)*(100/120)=16

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A horse and a cow were sold for Rs. 12000 each. The horse was sold at a loss of 20% and the cow at the gain of 20%. The entire transaction resulted in :

Aa. no loss or gain

Bb. loss of Rs. 1000

Cc. gain of Rs. 1000

Dd. gain of Rs. 2000

Explanation:

Sp of cow=12000. Sp of horse=12000. Cp of cow=100/120*12000=10000. Similarly for horse cp=15000. Total sp= 24000 and total cp= 25000 loss= 1000

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A producer of tea blends two varieties of tea from two tea gardens one costing Rs 18 per kg and another Rs 20 per kg in the ratio 5 : 3. If he sells the blended variety at Rs 21 per kg, then his gain percent is

A10%

B12%

C14%

D22%

Explanation:

As per the question,
=> (20-x)/(x-18)=5/3.
=> 60-3x=5x - 90.
=> 8x=150.
=> x=75/4
Now, sell price is 21 and the cost price is 75/4
So, the required profit% is [ (21 - 75/4) / 75/4 ]* 100 = (9/4) * (4/75) * 100 = 900/75 = 60/5 = 12%.

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Atul bought a machine for 4,50,000 and sold it to Irrfan who later sold the machine to Danish at a loss of 10% for rs.4,95,000. The profit earned by atul is:

A23%

B21%

C25%

D22.22%

Explanation:

cost price of irfan is : 90x/100=4,95,000 => x=5,50,000;
profit =(5,50,000-4,50,000)/4,50,000; = 1,00,000/4,50,000
profit % for atul = .2222 * 100 = 22.22%

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