APTITUDE TRICKS

PROFIT AND LOSS-

Suppose the price is first increase by X%  and then decreased  by Y% , the final change % in the price is given by the following  formula  -

Final Difference % = X- Y – XY/100.

Example1 -The price of T.V set is increased by 40 % of the 

cost price and then decreased by 25% of the new price .  On 
selling, the profit for the dealer was Rs.1,000 . At what price was 
the T.V sold.

Solution

By Formula  (X- Y – XY/100.)

40-25-(40*25/100)= 5 %.

If 5%=1000

Then

100%=5%*20*

Implies that- 1000*20=20,000

CP=20,000

SP=20000+1000

SP=21,000

Hence our answer is 21,000 (i.e Profit obtained) 

Example2-The price of T.V set is increased by 25 % of cost 

price and then decreased by 40% of the new price .  On selling, 
the loss for the dealer was Rs.5,000 . At what price was the T.V 
sold.

Solution-By Formula  (X- Y – XY/100.)

= 25-40-(25*45/100)=  -25 %.

So if 25 % = 5,000
Then 100%=5000*4=200,00

C.P = 20,000
S.P = 20,000 – 5,000= 15,000.

Hence our answer is 15,000 (i.e loss obtained)





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