Question

An art dealer sold a painting for R s 150000 at a loss of 20% how much did he buy the painting for

Answer 1

Answer is here babe........

Answer 2

SOLUTION

GIVEN

An art dealer sold a painting for Rs. 150000 at a loss of 20%

TO DETERMINE

The amount at which he bought the painting

EVALUATION

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

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

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

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

So by the given condition

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

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

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

∴ x = 187500

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

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