Question

A shopkeeper losses 10%. If he sells a television for rupees 9000 find out the selling price so that he can a gain 15%.​

Answer 1

Given:

✰ A shopkeeper losses 10%.

✰ Selling price of television = Rs. 9000

To find:

✠ The selling price so that he can a gain 15%.

Solution:

⤳ Loss percent = 10%

⤳ Selling price ( S.P. ) = Rs. 9000

Let's find out cost price ( C.P. ) of a television.

We know that,

✭ Loss% = ( C.P. - S.P. )/C.P. × 100 ✭

Where,

Putting the values,

➛ 10 = ( C.P. - 9000 )/C.P. × 100

➛ 10 × C.P. = C.P. - 9000

➛ 10 × C.P. = ( C.P. - 9000 ) × 100

➛ C.P. = ( C.P. - 9000 ) × 10

➛ C.P. = 10C.P. - 90000

➛ C.P. - 10C.P. = - 90000

➛ - 9C.P. = - 90000

Now, minus ( - ) sign gets cancel on both sides, we have

➛ 9C.P. = 90000

➛ C.P. = 90000/9

➛ C.P. = 10000

Now,

⤳ Profit percent = 15%

Let the new selling price ( S.P. ) of television be x.

We know that,

✭ Gain% = ( S.P. - C.P. )/C.P. × 100 ✭

Putting the values,

➛ 15 = ( x - 10000 )/10000 × 100

➛ 15 = ( x - 10000 )/100

➛ 15 × 100 = x - 10000

➛ 1500 = x - 10000

➛ x = 1500 + 10000

➛ x = 11,500

∴ The new selling price ( S.P. ) of a television = Rs. 11,500

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