Question

If a person were to sell a sofa set for rs. 7200 he would loss 20% for what must be sell it to gain 20%

Answer 1

If it is sold at ₹7200, loss would be 20%

So cost price of the item is:

$cp = \frac{sp}{100 - loss} \times 100 \\ \\ cp = \frac{7200}{100 - 20} \times 100$
$cp = \frac{7200}{80} \times 100 \\ \\ cp = 9000$

Now, for 20% gain, selling price will be

$sp = cp \times \frac{100 + gain}{100} \\ \\ sp = 9000 \times \frac{100 + 20}{100}$

$sp = 9000 \times \frac{120}{100} \\ \\ sp = 10800$

For 20% gain, It should be sold at ₹10800

Answer 2

Answer:

If it is sold at ₹7200, loss would be 20%

So cost price of the item is:

\begin{gathered}cp = \frac{sp}{100 - loss} \times 100 \\ \\ cp = \frac{7200}{100 - 20} \times 100\end{gathered}cp=100−losssp×100cp=100−207200×100

\begin{gathered}cp = \frac{7200}{80} \times 100 \\ \\ cp = 9000\end{gathered}cp=807200×100cp=9000

Now, for 20% gain, selling price will be

\begin{gathered}sp = cp \times \frac{100 + gain}{100} \\ \\ sp = 9000 \times \frac{100 + 20}{100} \end{gathered}sp=cp×100100+gainsp=9000×100100+20

\begin{gathered}sp = 9000 \times \frac{120}{100} \\ \\ sp = 10800 \end{gathered}sp=9000×100120sp=10800

For 20% gain, It should be sold at ₹10800