Question

A book was sold for a certain sum and there was a loss of 20%. had it been sold for rs 12 more, there would have been a gain of 30%. what would be the profit , if the book were sold for rs 4.80 more than what it was sold for?.

Answer 1

let book was sold at x =SP
CP = SP - LOSS
CP = X- x/5 = 4x/5
now if
4x/5 + 12 = x + 3x/10
x=24 = SP
CP = 96 /5 rs
NOW
profit = SP - CP
PROFIT =28.80 - 19.20= 9.60rs

Answer 2

Answer:

There would be zero profit, if the book were sold for rs 4.80 more than what it was sold for.

Step-by-step explanation:

Given : A book was sold for a certain sum and there was a loss of 20%. had it been sold for Rs.12 more, there would have been a gain of 30%.

To find : What would be the profit , if the book were sold for Rs.4.80 more than what it was sold for?

Solution :

Let the price of the book be 'x'.

A book was sold for a certain sum and there was a loss of 20%.

Loss = 20%

The selling price of the book is

$SP=\frac{100-L\%}{100}\times CP$

$SP=\frac{100-20}{100}\times x$

$SP=\frac{80}{100}\times x$

$SP=0.8x$

It has been sold for Rs.12 more, there would have been a gain of 30%.

i.e SP = 12+0.8x

Profit 30%.

Selling price is $SP=\frac{100+P\%}{100}\times CP$

$SP=\frac{100+30}{100}\times x$

$SP=\frac{130}{100}\times x$

$SP=1.3x$

Equate the selling price,

$12+0.8x=1.3x$

$0.5x=12$

$x=\frac{12}{0.5}$

$x=24$

So, The price of the book is Rs.24.

If the book were sold for Rs 4.80 more than what it was sold for

The selling price is $0.8x=0.8\times 24=19.2$

The book is sold for $19.2+4.8=24$

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

Now, The cost price and selling price became same.

Therefore, There would be zero profit, if the book were sold for rs 4.80 more than what it was sold for.