Question

A shopkeeper allows 10% discount and still gains 8% what is the actual cost of the sofa if it is marked at rupees 6000

Answer 1

Given:

A shopkeeper allows 10% discount and still gains 8%

To find:

The actual cost of the sofa if it is marked at rupees 6000

Solution:

The marked price of the sofa = Rs. 6000

Discount% = 10%

We know the formula as:

$\boxed{\bold{S.P. = M.P. - [\frac{Discount}{100} \times M.P.]}}$

Substituting the values in the formula above, we get

∴ S.P. of the sofa = $6000 - [\frac{10}{100} \times 6000] = 6000 - 600 = Rs.\:5400$

Gain% = 8%

Also, we know the formula as:

$\boxed{\bold{C.P. = \frac{100}{100+G\%}\timesS.P. }}$

Substituting the values in the formula above, we get

∴ C.P. of the sofa = $\frac{100}{100+8} \times 5400 = \frac{100}{108} \times 5400 = 100\times 50=Rs. \:5000$

Thus, the actual cost of the sofa is → Rs. 5000.

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Answer 2

Answer:

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