# This is from comparing quantities chapter 1. A dealer sells a calculator at a loss of 12% . If he had sold it at a profit of 12% he would have gained Rs.288 more . Find the cost price 2. If a person sells an article for Rs 400 gaining 1/4 of its cost price, find the gain percent.

2
by Upps

• Brainly User
2014-11-05T13:00:11+05:30
1. A dealer sells a calculator at a loss of 12% . If he had sold it at a profit of 12% he would have gained Rs.288 more . Find the cost price

2. If a person sells an article for Rs 400 gaining 1/4 of its cost price, find the gain percent

Solution :
1)  Here S.P  = Selling Price
C.P = Cost Price

A dealer sells a calculator at a loss of 12% , means
S.P = (100 - 12)% C.P
or S.P = 88%C.P

If he had sold it at a profit of 12% he would have gained Rs.288 more , means
(100 + 12 )%C.P =  88%C.P + 288
112 % C.P = 88%C.P + 288
112 % C.P -  88 % C.P = 288
(112 - 88 )
% C.P = 288
(24) % C.P = 288
(24/100 )* C.P = 288
C.P = 288 * 100 /24
C.P  = 1200

Hence Cost Price of Calculator (in Rupees)= 1200 .

Hope U Understand the Solution .
Thank You !!!
Cheers !!!

2 )

2. If a person sells an article for Rs 400 gaining 1/4 of its cost price, find the gain percent          ?

S
olution :
S.P = 400
Let The C.P = X
Gain = 1/4*X
we Know that ,
Gain = S.P - C.P
1/4*X = 400 - X (Given Gain = 1/4 *X)
X/4 = 400 - X
X/4 + X = 400
(X + 4*X)/4 = 400
5X / 4 = 400
5X = 4*400
5X = 1600
X = 1600/5
X =320
Hence C.P = 320
therefore , S.P - C.P = 400 - 320
S.P - C.P = 80
Therefore ,
Gain % = (S.P - C.P) / C.P *100
= 80 /320*100
= 25 %

Hence gain percent = 25

Hope U understood the Solution !!

Cheers !!!

2014-11-07T23:34:56+05:30

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1.  Profit and Loss are calculated on the basis of  cost price.
Profit = 12%    Loss = 12%

Selling price for profit = 100% + 12 % = 112 % of CP
Selling price for loss =  100% - 12 %   =  88% of CP

Difference between the two prices =  112 - 88 = 24 % of CP

SO   24 /100 * CP = Rs  288    =>  CP = 100 * 288 / 24 = Rs 1, 200.
================
2)
Gain = 1/4 * CP
So   CP = 4 * Gain

Gain percentage  = Gain * 100 / CP  = Gain * 100 / (4 * Gain )
=  25 %