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 .

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2 )

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

Solution :

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

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