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# Profit and Loss Questions

Home > Quantitative Aptitude > Profit and Loss > General Questions
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A quantity of tea is sold at Rs. 5.75 per kilogram. The total gain by selling the tea at this rate is Rs. 60. Find the quantity of tea being sold if a profit of 15% is made on the deal.

A90 kg

B60 kg

C80 kg

D70 kg

Explanation:

Say total cost price of tea is x.

Then total profit at a rate of 15% is = (15x/100)

According to question,

15x/100 = 60

so x = 400

C.p of the tea is Rs. 400.

so total selling price will be = (400 60) = Rs.460

so the quantity of the tea will be = (460/5.75) = 80kg.

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A man buys an article for Rs. 27.50 and sells it for Rs. 28.60. Find his gain percent.

A4%

B8%

C10%

D6%

Explanation:

C.P. = Rs.27.50, S.P. = Rs. 28.60.
Therefore Gain = Rs. (28.60 - 27.50) = Rs.1.10.
Therefore Gain % = (1.10*100/27.50) % = 4%.

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If the cost price of 20 articles is equal to the selling price of 16 articles, What is the percentage of profit or loss that the merchant makes?

A15% Profit

B25% Loss

C25% Profit

D15% Loss

Explanation:

Let Cost price of 1 article be Re.1.
Therefore, Cost price of 20 articles = Rs. 20.
Selling price of 16 articles = Rs. 20
Therefore, Selling price of 20 articles = (20/16) * 20 = 25
Profit = Selling price - Cost price
= 25 - 20 = 5
Percentage of profit = Profit / Cost price * 100.
= 5 / 20 * 100 = 25% Profit

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A radio when sold at a certain price gives a gain of 20%. What will be the gain percent, if sold for thrice the price?

A260%

B150%

C100%

D50%

ENone of these

Explanation:

Let x be original cost of the radio.
The solding price = (100+20)x=120x
If , it is sold for thrice the price ,then 3*120x=360x
So, gain percent is (360-100)=260%.

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A man sells an article at a profit of 25%. If he had bought it at 20 % less and sold it for Rs.10.50 less, he would have gained 30%. Find the cost price of the article?

ARs. 55.

BRs. 50.

CRs. 45.

DRs. 35.

Explanation:

Let the C.P = Rs.x.
1st S.P =125% of Rs.x.= 125*x/100= 5x/4.
2nd C.P=80% of x. = 80x/100 =4x/5.
2nd S.P =130% of 4x/5. = (130/100* 4x/5) = 26x/25.
So, 5x/4-26x/25 = 10.50 or x = 10.50*100/21=50.
=> C.P = Rs. 50.

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A grosser purchased 80 kg of rice at Rs.13.50 per kg and mixed it with 120 kg rice at Rs. 16 per kg. At what rate per kg should he sell the mixture to gain 16% :

ARs.16.40 per kg.

BRs.14.40 per kg.

CRs.13.40 per kg.

DRs.17.40 per kg.

Explanation:

C.P of 200 kg of mix. = Rs (80*13.50+120*16) = Rs.3000.
S.P = 116% of Rs 3000= Rs (116*3000/100) = Rs.3480.
Rate of S.P of the mixture = Rs.3480/200.per kg. = Rs.17.40 per kg.

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The cost price of two types of tea are Rs. 180 per kg and Rs. 200 per kg respectively. On mixing them in the ratio 5:3, the mixture is sold at Rs. 210 per kg . In the whole transaction, the gain percent is

A10%

B11%

C12%

D13%

Explanation:

Mixing ratio=5:3
1st type tea=5/8
2nd type of tea=3/8
therefore 1 kg of mixed tea price/kg=>180*(5/8)+200*(3/8)=187.5.
total profit=210-187.5=22.5
therefore % of profit=(22.5/187.5)*100=12%

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A trader sells total 315 tv sets.he sells black and white tv sets at a loss of 6% and color tv sets at a profit of 15% thus he gains 9% on the whole.what are the no. of blak and white sets which he has sold?

A80

B90

C120

D77

Explanation:

Lets assume BW=x , colour=315-x (consider 1 rs PC per tv)
x{(100-6)/100}+(315-x){(100+15)/100} = 315+315*(9/100)
=> x=90

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If on an item a company gives 25% discount, they earn 25% profit. If they now give 10% discount then what is the profit percentage.

A40%

B55%

C35%

D30%

Explanation:

Lets assume the cost = Rs x.
After giving 25% discount it becomes 0.75x
Selling price = 0.75x which gives 25% profit...(1)

Thus, after giving 10% discount it becomes 0.90x
Selling price = 0.90x ......(ii)
From eq. (1) and (2),
0.90x will gives = (25 * 0.90x)/ (0.75x) = 30 % profit.

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A shopkeeper allows a discount of 10% on the marked price and still gains 17% on the whole. Find at what percent above the cost price did he mark his goods.

A35%

B25%

C30%

D45%

Explanation:

Lets assume the cost price = Rs. 100.
So SP = 117 (Given gain 17% on the whole.)
Lets assume the marked price = Rs. x
So, 90% of x = 117 (10% discount on marked price)
=> 90/100 * x = 117
=> x = 130
So, shopkeeper marked his goods 30% above the CP.

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