Question

Find the Profit of the Book
A book was sold for a certain sum and there was a loss of 20%. It had been sold for Rs 12 more, there would have been a gain of 30%. What would be the profit of the book were sold for Rs 4.8 more?

Answer 1

Lets say the price of the book is x.
A sale of 20% loss would mean 80% of the marked price= 80/100x=0.8x
 
if the book would be sold for Rs. 12 more (0.8x+12) profit will be 30%, that means 130% of marked price= 130/100x= 1.3x

Therefore  0.8x+12 = 1.3x
subtract 0.8x from both sides ,  1.3x-0.8x= 12
                                               0.5x=12
                                                   x = 12/0.5
                                                   x= 24
Therefore the price of the book was Rs.24

Price at 20% loss=  0.8x= 0.8(24) = Rs.19.2

if the book is sold for 4.8 more=  19.2 + 4.8 = Rs.24 (that means there would be no profit or loss)

The profit would be zero since its sold at the same price it was bought.

Answer 2

The cost price of the Book = RS 24

The profit percentage of the book were sold for Rs 4.8 more = 120%

To find:

the cost price of the Book ?

the profit percentage of the book were sold for Rs 4.8 more ?

Solution:

a book was sold at 20% loss = x

same book was sold at 30% gain = x + RS 12

that is                          80% = x

                                  130% = x + RS 12

difference will be,      50% = RS 12    

then cost price          100% = RS 24

the profit percentage of the book were sold for Rs 4.8 more = 24 + 4.8

                                                                                                     = 28.8

then,                                                                                             = $\frac{100 X 28.8}{24}$

                                                                                                     = $\frac{2880}{24}$

the profit percentage of the book were sold for Rs 4.8 more = 120%

To solve more:

1. An electrical company earns a profit of rupees 80 on every colour tv and loss of rupees 60 on every refrigerator. @ the company sells 5000 pieces of colour tv and 4000 pieces of refrigerator in a month. what is its profit or loss? b) find the number of tv it must sell to have neither profit nor loss if the number of sold refrigerator is 4000?

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2. A shopkeeper sells a saree at 8%profit and a sweater at 10%discount thereby getting a sum rupees 1008 if she had sold the saree at 10% profit and the sweater at discount she would have got rupees 1028 find the cost of saree and list price of the sweater

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