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Profit and Loss-Aptitude Profit and Loss-Aptitude 
Questions and Answers Questions and Answers 
1. Cost price = Rs.60   Gain =35% what is Selling price 
?
Ans :- 81
Explanations:-
SP = 135% of 60 = (135/100*60) = 81.  Formulae: SP= 
((100+gain%)/100)CP
2) If suresh buys two sheeps at Rs.1500 each and sells 
one at a gain of 15% and another at a loss of 15%. 
How much does he gain or loss in the whole 
transaction ?
Ans:- No loss No gain
Explanation:-
What ever he gain on the 1st sheep,the same he loss 
on the other sheep.
3) 20% loss on selling price is what percent loss on the 
cost price ?
Ans :- 16  2/3  %
Explanation :-
Let SP = 100 , loss =20 , CP= 100+20 = 120  , loss% = 
20/120*100 = 50/3 = 16 2/3
4) If the cost price is 75% of the selling price ,then 
what is the profit %age ?
Ans:- 33.33
Explanation :-Explanation :-
Let  SP=100 , CP = 75, PROFIT = 25.   Profit %= 
25/75*100 =100/3 = 33.33
5) A cloth merchant man  says that due rainy in the 
market ,he sells the cloth at 20% loss, but he uses a 
false metre scale and actually gain 25%.Find the 
actual lenth of the
scale  ?
Ans:- 64
Explanation :-
True scale /false scale =(100+gain%) / (100 - loss%).
100/false scale = (100+25) / (100 - 20).
false scale = 100 * 80 /125 = 64.
6) A cycle was purchased for Rs.1800 and sold for 
 Rs.1300.Find loss or profit ?
Ans:- loss
Explanation :-
Cost price of an cycle = Rs.1800 ,  selling price = 1300
Since SP <  CP , there is a Loss .
gain = CP -SP =1800 - 1300 = 500., So  Loss 
7) A dealer professes to sell his goods at cost price , 
but he uses a weight of 850g for the kg weight.Find 
his gain percent  ?
Ans :-   17 11/17
Explanation :-
Error = 1kg - 850g 
        = 1000g - 850g  = 150g
Therefore , Gain% = 150 / 850 * 100.
                            = 17 11/17.
8) A fruit seller sells two apples at Rs.10 each on one 
he gain 30% and on the other he lost 30%.What is his 
overall gain or loss in percentage  ?
Ans:- 9
Explanation :-
Two articles sold at same price, making a profit of a% 
on one and a loss of b% on the other ,there is loss 
occurs on the whole transaction.
loss% = a²/100.
So, (30)²/100 = 900/100 = 9%.
Loss% = 9%
9) A man bought a buffelow and a carriage for 
Rs.3000,he sold the buffelow at a gain of 20% and the 
carriage at a loss 10% thereby gaining 2%  on the 
whole .Find the cost of buffelow ? 
Ans:- 1200
Explanation :-
Let the cost price of buffelow =Rs.x
Then the cost price of  carriage =Rs. (3000 -x)
20% of x - 10% of (3000 - x) = 2% of 3000
==>x/5 - (3000 - x)/10 =60
==> 2x - 3000+x = 600
==> 3x = 3600   -----> x = 1200.
10) A man buy a cycle for  Rs.1600 and sells it at a loss 
20%.what is selling price ?
Ans:- 1280 
Explanation :-
 SP = 80% of 1600 = 80/100*1600 =   Rs.1280

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Profit and loss aptitude questions and answers