Profit and Loss Example 1

Profit and Loss Example 1


Example 1:
A Farmar bought a cow and carriage for Rs. 3500. He sold the horse at a gain of 35% and the carriage at loss of 10%, thereby gaining 2% on the whole. Find the cost of the cow.
Answer :
We consider C.P of the cow Rs. x
Then C.P of the Carriage Rs. ( 3500 - x )
So,
35% of x - 10% of ( 3500 - x ) = 2% of 3500
( 35x / 100 ) - 10( 3500 - x ) / 100 = 2 x 3500 / 100
( 7x / 20 ) - ( 3500 - x ) / 10 = 70
7x - 2x 7000 = 1400
5x = 5600
x = 5600 / 5
x = 1400


Example 2:
Find the single discount equivalent to a series discount of 30%, 20% and 10%.
Answer :

Let price be Rs. 100.
Then Net S.P = ( 90 x 80 x 70 / 100 x 100 x 100 ) x 100
= 36 x 7 / 5
= 252 / 5
= 50.4.
Required Discount is = ( 100 - 50.4 ) = 49.6


Example 3:
If the C.P is 75% of the selling price, then What is the profit percent ?
Answer :
Let S.P = Rs 100,
Then C.P = 75
Profit = Rs 25
Profit% = ?
= 25x 100 / 75
= 100 / 3 = 33.3
Profit % = 33.3




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