**Problem 1:** The C.P of two articles is the same as RS.1200. If one article is sold at a profit of 20% and other at a loss of 25%. Find the net profit or loss?

Solution : C.P1=C.P2

Formula =

=

= (‘-‘ sign indicates loss)

**Problem 2:** A man sold two articles for RS.4560 each. On selling the first one he gains % and the other he lost 25%. What is the overall profit or loss percent in this transaction?

Solution: SP1=SP2=4560

P%=%= , L%=25%=

C.P S.P P/L

6 7 +1

4 3 -1

We know that the selling price of the two articles is equal. So equal the selling price by multiplying 3 to the first one and 7 to the second one.

C.P S.P P/L

(6 7 +1 ) *3

(4 3 -1 ) * 7

After multiplication

C.P S.P P/L

18 21 +3

28 21 -7

Total C.P = 18+28=46

Difference between +3 and -7 is -4

To find the profit or loss percentage = % Loss

‘-‘ sign indicates loss

**Problem 3:** By selling an article for RS.96 a person gained such that the percentage gain equals the numerical value of C.P of the article. The C.P of an article is?

Solution: According to the problem % gain equals to the numerical value of C.P i.e p% = C.P

We can solve this problem in a logical way

Step 1: First we have to find factors for 96

16*6=96

12*8=96

32*3=96

These are the ways that we can get 96

Step 2: Check the difference between the factors

16-6=10

12-8=4

32-3=29

Step 3: The difference between the two factors should be 10

16 and 6 are such factors

Step 4: Multiply with 10

16*10=160 6*10=60

Cost price=60 and Selling price=160

**Problem 4:** The cost price of an article is RS.144. A person gained such that the percentage gain equals the numerical value of S.P of the article. The selling price of an article?

Solution : C.P=144

P%=S.P

S.P=?

Step 1: First we have to find factors for 144

16*9=144

18*8=144

These are ways that we can get 144

Step 2: Check the difference between the factors

16-9=7

18-8=10

Step 3: The difference between the two factors should be 10

18 and 8 are such factors

Step 4: Multiply with 10

18*10=180 8*10=80

Selling price =180 and cost price =80