# Aptitude Shortcuts and Mind Tricks for Profit and Loss Problems – Download in PDF

Dear Readers, Aptitude Shortcut methods and tricks for Profit and Loss Problems were given below. Candidates those who are preparing for Upcoming Bank PO/Clerk and all other competitive Exams can also download this in PDF.

QUESTION

A merchant bought some goods worth Rs. 6000 and sold half of them at 12% profit. At what profit percent should he sell the other half of the goods to make an overall profit of 18%?
GIVEN
Cost Price (CP) of goods = Rs. 6000
Profit% on 1st half of the goods = 12%
Overall profit % = 18%
SOLUTION
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NORMAL METHOD
Now CP of half the goods will beÂ Rs. 3000Â i.e., [6000/2 = 3000]
Half of the goods are sold at a profit of 12%
The Selling Price (SP) of 1st half the goods = [100+12%] of CP of half the goods
=112% of 3000
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Let the profit% of 2ndÂ half of the goods be Y%
Then the SP of 2ndÂ half of the goods = [100+Y%] of CP of half of the goods
=Â [100+Y] of 3000
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The overall profit% is given as 18%
Therefore SP of the total goods = [100+18%] of CP of total goods
=Â 118% of 6000
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Now,Â SP of total goods = SP of 1stÂ half + SP of 2ndÂ half
[118% of 6000] = [112% of 3000] + [(100+Y) % of 3000]
[(118/100) Ã— 6000] = [(112/100) Ã— 3000] + [{(100+Y)/100} Ã— 3000]
[118 Ã— 60] = [112 Ã— 30] + [(100+Y) Ã— 30]
7080 = 3360 + 3000 + 30Y
7080 = 6360 + 30Y
30Y = 7080 â€“ 6360 = 720
Y = [720/30] = 24%
Therefore the profit% of 2ndÂ half of the goods,Â Y% = 24%
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ALTERNATE METHOD
Profit% of 1st half the goods = 12%
SP of 1st half the goods = 112% of 3000 =Â Rs. 3360
Overall profit% = 18%
SP of total goods = 118% of 6000 =Â Rs. 7080
Therefore theÂ SP of 2nd halfÂ of the goods = Rs. (7080 â€“ 3360) =Â Rs. 3720
We already know theÂ CP of the 2nd halfÂ of the goods =Â Rs. 3000
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Profit of 2ndÂ half = SP of 2ndÂ half â€“ CP of 2ndÂ half
= Rs. (3720 â€“ 3000)
Profit of 2ndÂ half =Â Rs. 720
For 3000Ã Â 720 profit
Then for 100%Â Ã ? profit%
Profit % of 2ndÂ half = [720Ã—100] / 3000
Profit% of 2ndÂ half = 24%Â
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