Question

A book was sold for Rs. 27.50 with a profit of 10%. If it were
sold for Rs. 25.75, then what would have been the
percentage of profit or loss?
​

Answer 1

Answer:

Step-by-step explanation:

S.P=27.50  Rs.,Profit=10%

C.P=

110

100

​

×27.50=25Rs.

If S.P=25.75  Rs.

Then Profit=25−25.75=.75Rs.

Profit Percentage=

25

.75

​

×100=3%

Answer 2

$\sf{Question}$

A book was sold for Rs. 27.50 with a profit of 10%. If it were sold for Rs. 25.75, then what would have been the percentage of profit or loss?

$\tt{Answer={\red{3\%}}}$

Solution

GIVEN

SP of book= 27.50 rupee's

profit= 10%

CP= ?

We Know That

$\bold{\tt{CP={\dfrac{SP×100}{100+P}}}}$

$\bold{\tt{CP={\dfrac{27.5×100}{100+10}}}}$

$\bold{\tt{CP={\dfrac{\cancel{2750}}{\cancel{110}}}}}$

$\bold{\tt{CP=₹25}}$

Now

SP of book = ₹25.75

CP of book = ₹25

SP> CP

⁣         We get Profit,

⁣        profit = SP - CP

⁣        profit = 25.75- 25

⁣        profit = ₹0.75

$\bold{\tt{Profit \ percent={\dfrac{P}{CP}×100}}}$

$\bold{\tt{Profit \ percent={\dfrac{0.75}{\cancel{25}}×\cancel{100}}}}$

$\bold{\tt{Profit \ percent={3\%}}}$

╚════════════════════════╝

FOR MORE INFORMATION

$\bold{\tt{CP={\dfrac{SP×100}{100-L\%}}}}$