Question

By selling 33 m of carpet, a man loses an amount equal to the selling price of 3 m of carpet. Find his gain or loss per cent. ​

Answer 1

Answer:

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Step-by-step explanation:

Loss = (CP of 33 m) - (SP of 33 m)

⇒ (SP of 3 m) = (CP of 33 m) - (SP of 33 m)

⇒ (SP of 33 m) + (SP of 3 m) = (CP of 33 m)

⇒ (SP of 36 m) = (CP of 33 m).

Let the CP of 1 m be $ x.

Then, CP of 36 m = $ 36x

SP of 36m = (CP of 33m) = $ 33x.

Thus, CP = $ 36x and SP = $ 33x.

Since, (CP) > (SP), there is a loss.

Loss = $ (36x - 33x) = $ 3x.

Loss% = [(loss/CP) × 100]%

= [(3x/36x) × 100] %

= 25/3%

= 8¹/₃%

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Answer 2

Step-by-step explanation:

Given that

Let the price of one carpet be x. Then,

Loss = Selling price of 6 carpets = ₹6

Cost Price = Selling Price + Loss

= ₹(33+6)

= ₹39

Loss % = Loss/Cost Price × 100

= 6/39 ×100

= 200/13 %

= 15 unit 5/3 %.