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Profit and Loss Questions

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A shopkeeper marked a suit at Rs.400. He sold it after allowing a discount, and still made at a profit of 25%. At what percentage above its cost price did he marked the suit, if he sold it for Rs.320?


A50%

B66.67%

C62.50%

D56.25%

Answer: Option D

Explanation:

Solution: There are two selling prices equation equating them we will get the answer.



S.P on obtaining profit= S.P. on getting discount  ( let the C.P BE x)



125x/100 = 80/100 * 400



solving the equation we get x= 256 Rs that is the cost price. So Marked Price was 400



Therefore (400-256)/256 *100%  =56.25%

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Radha bought a watch for Rs. 144 and got a percentage of profit equal to the cost price of the watch. What is the cost price of the watch?


ARs. 72

BRs. 80

CRs. 78

DRs. 90

Answer: Option B

Explanation:

SP=144
Lets assume cost price of watch= Rs. x
so profit %=x
C.P.= (100/(100+gain%))*S.P. -----(formula to get CP)
x=(100/100+x) *144
=> x^2+100x=14400
=> x^2+180x-80x-14400=0
=> (x+180) (x-80)=0
=> x=-180
=> x=80

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5 tables and 10 chairs were sold for 20000.15%gain for table,10%loss on chair.overall profit Rs 750.the CP of table is


ARs. 2140

BRs. 2240

CRs. 3000

DRs. 2500

Answer: Option A

Explanation:

Lets assume cost of table is X and cost of chair is Y.
sold price is 20000 and profit is 750 .
so cost for both is 19250.
=> 5X+10Y=19250 ------------ (1)

=> 5*(115/100)X + 10* (90/100)Y =20000 ------- (2)

By solving both eq.
We get X=2140

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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

Answer: Option C

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%

Answer: Option A

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

Answer: Option C

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

Answer: Option A

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.

Answer: Option B

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.

Answer: Option D

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%

Answer: Option C

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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