Question

A man sell a painting for Rs 150000 at a 20% loss. How much did he buy it

Answer 1

Answer:

Step-by-step explanation:

Let Rs. x be the amount at which the art dealer bought the painting

Now it is given that the art dealer sold the painting at a loss of 20%

So selling price

\displaystyle \sf{ = x - \frac{20x}{100} }=x−

100

20x

​

\displaystyle \sf{ = x - \frac{x}{5} }=x−

5

x

​

\displaystyle \sf{ = \frac{4x}{5} }=

5

4x

​

So by the given condition

\displaystyle \sf{ \frac{4x}{5} = 150000 }

5

4x

​

=150000

\displaystyle \sf{ \implies \: x = 150000 \times \frac{5}{4} }

⟹x=150000×

4

5

​

\displaystyle \sf{ \implies \: x = 150000 \times 1.25 }⟹x=150000×1.25

∴ x = 187500

So the amount at which the art dealer bought the painting = Rs. 187500