Question

Geeta sold two sarees each for rupees 6000 on one sarees she got 25% profit and one other saree 25% loss. Find the loss or profit on the whole transaction​

Answer 1

$\textbf{\large{\underline{Answer :-}}}$

Geeta had a Loss of Rs.800 in the whole transaction.

$\textbf{\large{\underline{Explanation:-}}}$

Given :

Sold each saree for = Rs.6000

One saree got = 25% Profit

Second Saree got = 25% Loss

To find :

The total Profit or Loss in the transaction.

Solution :-

$\textsf{\underline{\underline{Case I}}}$

$\textsf{Selling Price = Rs.6000}$

$\textsf{Profit \% = 25\%}$

$\textsf{Cost Price = ?}$

$\star$  $\textsf{As we know :-}$

${\boxed{\sf\:{CP =\frac{100}{(100 + profit\%)} \times SP}}}$

$\sf\:{\implies{CP =\dfrac{100}{(100 + profit\%)} \times SP}}$

$\sf\:{\implies{CP =\dfrac{100}{(100 + 25\%)}\times 6000}}$

$\sf\:{\implies{CP =\dfrac{100}{125} \times 6000}}$

$\sf\:{\implies{CP =\dfrac{600000}{125}}}$

$\sf\:{\implies{CP = 4800}}$

The cost Price when profit % is 25% is Rs.4800

$\textsf{\underline{\underline{Case II}}}$

$\textsf{Selling Price = Rs.6000}$

$\textsf{Loss\% = 25\%}$

$\textsf{Cost Price = ? }$

$\star$ $\textsf{ As we know :-}$

${\boxed{\sf\:{CP =\frac{100}{(100 - Loss\%)} \times SP}}}$

$\sf\:{\implies{CP =\dfrac{100}{(100-loss\%)} \times SP}}$

$\sf\:{\implies{CP =\dfrac{100}{(100-25\%)} \times 6000}}$

$\sf\:{\implies{CP =\dfrac{100}{75} \times 6000}}$

$\sf\:{\implies{CP =\dfrac{600000}{75}}}$

$\sf\:{\implies{CP =8000}}$

Cost Price is Rs.8000 when loss is 25%

$\textsf{Total Selling Price = }$

$\implies$ 6000 + 6000

$\implies$ 12000

$\textsf{Total Cost Price =}$

$\implies$ 4800 + 8000

$\implies$ 12800

12000 < 12800

Selling Price < Cost Price

$\therefore$ It is a Loss

Loss = Cost Price - Selling Price

 $\implies$ 12800 - 12000

 $\implies$ 800

$\therefore$ Geeta had a Loss of Rs.800 in the whole transaction.

Answer 2

Step-by-step explanation:

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