A sells an article to B at a gain of 20%. B sells is to C at a gain of 25% and C in turn sells is to D at a loss of 331/3%. If D paid Rs.1,000 for it, then what is the cost price of A.

A sells an article to B at a gain of 20%. B sells is to C at a gain of 25% and C in turn sells is to D at a loss of 331/3%. If D paid Rs.1,000 for it, then what is the cost price of A.

1) Rs.1,000


2) Rs.2,000


3) Rs.3,000


4) Rs.4,000

Answer: 1

EXP:
1.2 X 1.25 X 0.6666 X CP = 1000 => CP = 1000 (profits of 20%, 25% & loss of 33.33%)

A person, by selling an article at three-fourths of the list price incurs a loss of 20%. Find the profit percentage if he sells at the list price?

A person, by selling an article at three-fourths of the list price incurs a loss of 20%. Find the profit percentage if he sells at the list price?

1) 25%


2) 6.66%


3) 111/9%


4) None of these

Answer:  2

EXP:
0.75 MP = 0.8 CP (since 20% loss)
    So, MP = 1.0666CP => 6.66% gain

The manufacturing cost of a watch is Rs.180 and the transportation lost is Rs.500 for 100 watches. What will be the selling price if it is sold at 20% gains

The manufacturing cost of a watch is Rs.180 and the transportation lost is Rs.500 for 100 watches. What will be the selling price if it is sold at 20% gains

1) Rs.222


2) Rs.216


3) Rs.221


4) Rs.220

Answer: 1

EXP:
Total cost of a watch = 180 + (500/100) = 185.
    Gain = 20% => SP = 1.2CP = 1.2 X 185 = 222

Arun purchased a house for Rs.75,000 and a site for Rs.15,000 respectively, if he sold the house for Rs.83,000 and the site for Rs.10,000, then find the resultant percentage of gain?

Arun purchased a house for Rs.75,000 and a site for Rs.15,000 respectively, if he sold the house for Rs.83,000 and the site for Rs.10,000, then find the resultant percentage of gain?

1) 3%


2) 31/3%


3) 30%


4) 331/3%

Answer: 1

EXP:
Total CP = 90000 & total SP = 93000 => gain = SP/CP = 93000/90000 =1.0333 = 3.33%

30% loss on cost price in what percent loss on selling price?

30% loss on cost price in what percent loss on selling price?

1) 30%

2) 20%

3) 15%

4) None of these


Answer: 4

EXP:

Loss = 30% on CP i.e., 0.3CP => SP = 0.7CP
Loss % on SP = loss/SP X 100 = 0.3CP/0.7CP X 100 = 42.85%.

By selling some cloth at the cost price a merchant still gained 191/21%. How much less cloth does he measure for a meter?

By selling some cloth at the cost price a merchant still gained 191/21%. How much less cloth does he measure for a meter?

1) 15 cm

2) 16 cm

3) 20 cm

4) None of these

Answer: 2

EXP:

Profit % = 19 1/21 => 1.19047.
Let he measure x cm for 100 cm. Then, 100/x = 1.19047 => x=84 cm
So he measures 16 cm less for every meter.

Swapna bought 15 apples for Rs.10 and sold them at the rate of 12 apples for Rs.12. What is the percentage of profit made by her?

Swapna bought 15 apples for Rs.10 and sold them at the rate of 12 apples for Rs.12. What is the percentage of profit made by her?

1) 100%

2) 150%

3) 125%

4) None of these

Answer: 4

EXP: She got profit => profit % = 15/10 X 12/12 = 1.5 => 50%.

P sold an article for Rs.1,080 thereby losing 10% Q sold another article for Rs.1,800 at a loss of 10%. Who incurred a greater loss?

P sold an article for Rs.1,080 thereby losing 10% Q sold another article for Rs.1,800 at a loss of 10%. Who incurred a greater loss?

1) P

2) Q

3) Cannot say

4) Both have equal

Answer: 2

EXP: For P, SP=1080 and loss=10% => CP = 1080/0.9 =1200 => loss = 1200-1080 = 120.
    For Q, SP=1800 and loss=10% => CP = 1800/0.9 = 2000 => loss = 2000-1800 = 200.

A dealer professes to sell his goods at cost price and uses an 880gm weight instead of a kg. What is his percentage of gain?

A dealer professes to sell his goods at cost price and uses an 880gm weight instead of a kg. What is his percentage of gain?

1) 13.13%

2) 13.33%

3) 13.36%

4) 13.63%

Answer: 4

EXP: Gain % = 1000/880 => 1. 1363 => 13.63%

The profit obtained by selling an article for Rs.56 is the same as the loss obtained by selling it for Rs.42. What is the cost price of the article?

The profit obtained by selling an article for Rs.56 is the same as the loss obtained by selling it for Rs.42. What is the cost price of the article?

1) Rs.40

2) Rs.50

3) Rs.49

4) None of these

Answer: 3

EXP: Profit at a price = loss at  other price => CP must be numerically between those prices
   
CP = (56+42)/2 = Rs. 49.

Class 8 Math Profit and Loss Questions & Answers

Profit and Loss CBSE Class 8th Questions with Answer:

1. Wheat is cheaper than rice by 20%. By what percent rice costlier than wheat?
   
   Sol. Let the price of 1 unit rice = Rs 100
   Then the price of 1 unit of wheat = Rs (100-20) = Rs80
   On Rs 80     excess of price of rice = Rs20
   On Rs 100 excess of price of rice = (20/80    x 100) =  25. i.e., 25%
2. Rice is costlier than wheat by 20%. By what percent is wheat cheaper than rice?
   
   Sol. Let the  price of 1 unit of wheat be Rs100
   Then the price of 1 unit of rice = (100+20) = Rs120
   On Rs.120, cheapness of wheat = Rs20
   On Rs 100 cheapness of wheat = ( 20/120   x 100) =  50/3 % = 16  2/3%
3. If the cost price of 10 articles is equal to the selling price of 8 articles, find the gain or loss percent?
   
   Sol. Let the CP of each article be Re. 1
   Then CP of 8 articles = Rs 8
   SP of 8 articles = CP of 10 articles  = Rs 10.
   Gain = SP - CP = 10 - 08 = Rs. 2
   Gain =   2/8  x 100 = 25%
4. If the cost price of 5 pens is equal to the SP of 6 pens find gain or loss % ?
   
   Sol. Let the CP of each pen be Rs1
   Then CP of 6 pens = Rs. 6.
   SP of 6 pens = CP of 5 pens.  =Rs5.
   Loss  = CP – SP = 6 – 5 = Re. 1
   Loss% = (  1/6  x 100) % = 16  2/3 %
5. By selling 33 meters of cloth, one gains SP of 11 metres. Find the gain %.
   
   Sol. Sp of 33 m  —  CP of 33m  = gain
   SP of 33m  – CP of 33m =  SP of 11m
   SP of 33m - SP of 11m = CP of 33m
   SP of 22m = CP of 33m
   Let CP of  each meter be Rs1
   The CP of 22m = Rs22
   SP of 22m = CP of 33m = Rs 33
   Gain = SP -  CP Rs (33-22) = Re. 1
   Gain% =   11/22  x 100=50%
   

Problems for Practice:

1.  The SP of 18 books is equal to the CP of 21 books. Find the gain or loss % ?
2. The CP of 12 fans is equal the SP of 16 fans. Find the gain or loss % ?
3. On selling 250 cassettes a man had a gain equal to the SP of 25 cassettes. Find gain or loss %?
5. On selling 36 oranges, a vender loses the SP of  4 oranges. Find loss %?
6. Hint : CP 36 oranges – SP of 36 oranges =  SP of 4 oranges.