Profit and Loss Percent


 
 
Concept Explanation
 

Profit and Loss Percent

 

Profit ;Percent = frac{Profit}{Cost Price}times 100

small Loss ;Percent = frac{Loss}{Cost Price}times 100

Illustration 1: Rohan sold a book for Rs 60 which he has bought for Rs 50. Find his profit or loss percent

Solution:  Cost Price of One book = 50 Rs.

       Selling Price of One book = 60 Rs.

As selling price is more than cost price so he is making profit.

Profit = SP -CP = 60- 50 = 10 Rs.

large small Profit; percent = frac{Profit}{Cost;Price} times 100

small Profit; percent = frac{10}{50}times 100= 20%

Illustration 2: If the C.P.of 25 chairs is equal to the S.P. of 30 chairs, find the loss percent.

Solution: Let the C.P. of each chair be Rs 1. Then,

C.P. of 30 chairs = Rs 30

It is given that,

S.P. of 30 chairs = C.P. of 25 chairs

Rightarrow S.P. of 30 chairs = Rs 25

Clearly, S.P. < C.P.

 So, there is loss given  by

Loss = C.P. - S.P.

       = Rs(30 - 25)

       = Rs 5

Now, Loss % = left ( frac{Loss}{C.P.} times 100 right )%

                     =left ( frac{5}{30} times 100 right )%

                     =16tfrac{2}{3}%

Illustration 3: Three items are purchased at Rs 450 each. One of them is sold at a loss of 10%. At what price should the other two be sold so as to gain 20% on the whole transaction? What is the gain % on these two items?

Solution: We have, C.P. of one item = Rs 450

therefore S.P. of three items = Rs(3 X 450)

                                = Rs 1350

Gain on the whole transaction = 20 % of S.P.

                                            = 20% of Rs 1350

                                           =Rs;left ( frac{20}{100} times 1350right )

                                           = Rs 270

therefore S.P. of three items = C.P. + Gain

                               = Rs 1350 + Rs 270

                              = Rs 1620

It is given that first item is sold at a loss of 10%.

therefore Loss on selling first item = 10% of Rs 450

                                         =Rs;left ( frac{10}{100} times 450right )

                                         = Rs 45

therefore S.P.  of first item = C.P. - Loss

                             = Rs 450 - Rs 45

                             = Rs 405

S.P. of three items is Rs 1620 and the S.P. of first item is Rs 405

therefore S.P.  of the remaining two items = Rs 1620 - Rs 405

                                                  = Rs 1215

Thus, the other two items should be sold at Rs 1215

C.P.  of the remaining two items = Rs(2 X 450) = Rs 900

therefore Gain on the remaining two items = S.P. - C.P

                                                     = Rs 1215 - Rs 900

                                                     = Rs 315

therefore Gain % on the remaining two items =Rs;left ( frac{Gain}{C.P.} times 100right )

                                                    =Rs;left ( frac{315}{900} times 100right )

                                                    = 35%

Sample Questions
(More Questions for each concept available in Login)
Question : 1

Suman bought 200 milk bars for Rs.10 each. However, 50 milk bars were rotten and had to be thrown away. The remaining were sold at Rs. 15 each . Hind her profit or loss %

Right Option : A
View Explanation
Explanation
Question : 2

Yamini sold a book for Rs 120 which he has bought for Rs 100. Find his profit or loss percent

Right Option : B
View Explanation
Explanation
Question : 3

A bicycle is sold at a profit of 16%. Had it  been sold  for Rs.10 more, the profit would have been 20% . Its SP is _______________

Right Option : D
View Explanation
Explanation
 
Video Link - Have a look !!!
 
Language - English
 
 
 
Related Videos
Language - English
Language - English
Language - English

Language - English

Language - English


Students / Parents Reviews [20]