Profit & Loss problems with solutions

1. An Umbrella was sold at a profit of 20%. What is the selling price of the Umbrella, if its cost price is 180 ?

1) 216      2) 200      3)160     4)36       5) None of these

Solution :
Cost price Rs 180 = 100%
Sold at profit 20% .So Selling price = 120%
We need to find selling price
120%  ------   ?
100%  ------ 180

--->  (120*180)/100 = 216
Selling price = 216



2. A person sold an article for 20 and earned a profit of 25%. What is the cost price of the article?

1)16     2)14      3)12      4)18         5)None of these

Solution:

Cost price = 100%
By selling article at Rs 20 , he gets profit 25%
So selling price = 20 = 125%
We need to find cost price
100%  ----  ?
125%  ----  20

Cost price = 16

3. An article was sold for 13,000 at a loss of 35%. What is the cost price of the article?

1)16,000      2)13,700      3)15,000     4)20,000     5) None of these

Solution :

Cost price = 100%
Article was sold for 13,000 at a loss of 35% .
Selling price = 13,000 = 100% - 35% = 65%
100%  ----  ?
65%    ---- 13,000

Cost price = 100% = 20,000

4. Harshad bought 15 DVD players at 4,500 each and sold all of them at the total price of 81,000. What is the per cent profit earned in the deal?

1)16      2)20      3)25      4)20.5       5) None of these

Solution :

Cost price of 15 DVD players = 15* 4500 = 67500
Selling price of 15 DVD players = 81000
Profit = selling price - cost price = 81000 - 67500 = 13500
% of profit = (13500 / 67500)*100 = 20%

5. A shopkeeper sells 200 m of cloth for 9,000 at a profit of 5 per m. What is the cost price of 1 m of cloth?

1)45     2)40      3)35      4)30      5) None of these
Solution :

Selling price of 200m cloth = 9000
Selling price of 1m cloth = 9000/200 = 45
Profit is Rs 5 per meter
So, Cost price = selling price - profit = 45 - 5 = 40

6. Naresh purchased a TV set for 11,250 after getting discount of 10% on the labeled price. He spent 150 on transport and 800 on installation. At what price should it be sold so that the profit earned would be 15% if no discount was offered?

1)12,937.50      2)14,030      3)13,450      4)15,467.50       5) None of these

Solution :

Cost price = 11,250
He spent 150 on transport and 800 on installation .
So, cost price becomes
Cost price = 11,250 + 150 + 800 = 12,200
Assume cost price = 100% = 12,200
He want to earn 15% profit .
So, selling price = 115%
100%  ----  12,200
115%  ----      ?

Selling price = 14,030

7.If Ramu buys books at 11 books for 10 and sells at 10 books for 12, then what will be his gain percent?

1) 11%        2) 22%       3) 32%        4)15%         5) None of these

Solution :

Cost price of  11 books = 10
Cost price of  1 book  =  10/11
Selling price of  10 books = 12
Selling price of 1 book = 12/10
Assume cost price of 1 book  = 100% = 10/11
100%  ----  10/11
  ?        ----   12/10
Selling price = 132% = 12/10
% of Gain = 132% - 100% = 32%

8. A watch was sold at a loss of 9%. It was observed that if the selling price was 420 more, the profit made would have been 5%. What is the actual selling price of the watch?

1) 2700      2) 2730       3) 3270       4) 3000         5) None of these

Solution :

Assume Cost price = 100%
He sold for 9% loss, selling price = 100% - 9% = 81%
If he sells 420 more he gets 5% profit , selling price = 105%
So, 105% - 91% = 420
---> 14% = 420
14%  ----  420
100% ----   ?
Cost price = 3000
Actual selling price = 91%
100% ----  3000
91%   ----   ?
Actual Selling price = 2730

9. Praveen sold an article for 1170 at a profit of 30%. What should be the selling price if the desired profit Is 40%?

1) 1330       2) 990       3) 1287       4) 1260         5) None of these

Solution :

Cost price = 100%
Selling with 30% profit than Selling price = 1170 = 130%
If he want to sell with 40% profit
Selling price = 140%
130% ----  1170
140%  ----   ?
Selling price when 40% profit = 1260

10. Sameer sold an article 460 and earned a profit of 15%. At what price should it have been sold so as to earn a profit of 20%?

1) 465       2) 480       3) 498       4) 485       5) None of these

Solution :

Assume cost price = 100%
He earn 15% profit, when he sells it 420
Selling price = 115%
If he want to sell with 20% profit
Selling price = 120%
115%  ----  420
120%  ----     ?
Selling price when he sold with 20% profit = 480
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