Math, asked by singingheart42, 7 days ago

A book is bought for Rs.80 and gained Rs.20 by the vendor. Find gain
percent.

Answers

Answered by BrainlySparrow
3

Step-by-step explanation:

Given :

  • Selling Price = Rs. 80
  • Cost Price = Rs. 20

To Find :

  • Gain%

Solution :

~Firstly, we will find gain :

\longrightarrow Gain = S.P. - C.P.

\longrightarrow Gain = 80 - 20

\longrightarrow Gain = 20

~We know that,

 \purple{ \displaystyle \sf \longrightarrow \boxed{  \bf Gain\% =  \frac{ Gain }{ Selling  \: Price }  \times 100 } \:  \red\bigstar}

Substituting the values,

\displaystyle \sf \longrightarrow {   Gain\% =  \frac{ 20}{ 80 }  \times 100 }  \\  \\ \displaystyle \sf \longrightarrow {   Gain\% =  \frac{ 20}{ 8 \cancel0 }  \times 10 \cancel0 } \\  \\ \displaystyle \sf \longrightarrow {   Gain\% =  \frac{ 20}{  \cancel8  \:  {}^{4} }  \times  \cancel{10} \:  {}^{5}  } \\  \\ \displaystyle \sf \longrightarrow {   Gain\% =  \frac{  \:  \:  \cancel{20} \:  {}^{5} }{  \cancel4 }  \times 5} \\  \\ \displaystyle \sf \longrightarrow {   Gain\% =  5 \times 5 } \\  \\ \displaystyle \bf \longrightarrow {   \boxed{  \bf{ \red{Gain\% =  25 \% }}}} \:  \green\bigstar

Hence, Gain Percentage is 25%.

Answered by sheeb12ansari
0

Given: The selling price of the book is Rs80 and gained is Rs.20

We have to find the  gain  percent.

As we know that the formula is used to calculate the profit percent is: Profit\% =\frac{\text { Profit }}{\text { CostPrice }} \times 100

We are solving in the following way:

We have,

SP = Rs.80  and Profit = Rs.20

As we know that,

$$\begin{array}{l}\text { Profit = SP-CP } \\\Rightarrow 20=80-CP \\\Rightarrow CP =80-20\\\Rightarrow CP = 60\end{array}$$

Hence, we get the cost price is 60Rs.

Now,

$$\begin{array}{l}\text { Profit\% }=\frac{\text { Profit }}{\text { CostPrice }} \times 100 \\\\\text { Profit } \%=\frac{20}{60} \times 100 \\\\\text { Profit } \%=33.33\end{array}$$

Hence, we get the profit\%=33.33.

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