# Selling price formula in math explained

Learn and know what is the selling price formula? In consumer arithmetic chapter in mathematics. The students who are in class 6, 7, 8 , this formula will be helpful. It’s for not only for students for those who are attempting government jobs for them also useful. In government jobs exams they will touch this topic also under mathematics.

Do you know why we need to learn consumer arithmetic chapter in math or what is the use of learning it? See generally the words which we use in our daily life regularly like selling price, cost price, discount, interest, profit, loss and so on. All this words meanings and how to calculate them we are going to learn in consumer arithmetic chapter. For all these there are some specific formulae. Now we learn the formula for selling price.

## Selling price formula is given in different cases:

To find the selling price of any quantity, we should know its P% or L% and cost price.

Case (i)

When cost price (C.P) and P% is given, then the selling price formula is

S.P = $\frac { \left( 100+P\% \right) }{ 100 }$ × C.P

Case (ii)

When cost price (C.P) and L% is given, then the selling price formula is

S.P = $\frac { \left( 100-L\% \right) }{ 100 }$ × C.P

Ex: 1

If cost price (C.P) = 500 and P = 5 % then find S.P

Sol:

In the problem, C.P and P% is given so we use the formula

S.P = $\frac { \left( 100+P\% \right) }{ 100 }$ × C.P

= $\frac { \left( 100+5 \right) }{ 100 }$ × 500

= $\frac { \left( 105 \right) }{ 100 }$ × 500

= 105 × 5

= 525

S.P = 525

Ex: 2

If the cost price of the book is Rs.20 and profit is 10% then find its S.P

Sol:

S.P = $\frac { \left( 100+P\% \right) }{ 100 }$ × C.P

= $\frac { \left( 100+10 \right) }{ 100 }$ × 20

= $\frac { \left( 110 \right) }{ 100 }$ × 20

= $\frac { 110 }{ 5 }$

= 22

S.P = Rs. 22

Ex: 3

If cost price (C.P) = 1200 and L = 8 % then find S.P

Sol:

In the problem, C.P and L% is given so we use the formula

S.P = $\frac { \left( 100-L\% \right) }{ 100 }$ × C.P

= $\frac { \left( 100-8 \right) }{ 100 }$ × 1200

= $\frac { \left( 92 \right) }{ 100 }$ × 1200

= 92 × 12

= 1104

S.P = 1104

Ex: 4

If the cost price of the bike is Rs.50000 and loss is 25% then find its S.P

Sol:

S.P = $\frac { \left( 100-L\% \right) }{ 100 }$ × C.P

= $\frac { \left( 100-25 \right) }{ 100 }$ × 50000

= $\frac { \left( 75 \right) }{ 100 }$ × 50000

= 75 × 500

= 37500

S.P = Rs. 37500

Hope now you have understood and learnt selling price formula and its application