Question

A person sells 10 pencils at the same cost for which he bought 12 pencils. Did he gain/loss? and with percentage?

with clear steps pls!

Answer 1

Answer:

Profit % = 20%

Step-by-step explanation:

⇒ Let the Cost Price of 12 pencils = x Rs.

⇒ ∴ The Cost Price of 1 pencil        = (x/12) Rs.

⇒ Selling Price of 10 pencils = Cost Price of 12 pencils

⇒ ∴ Selling price of 10 pencils        = x Rs.

⇒ Selling Price of 1 pencil                = (x/10) Rs.

⇒ Profit = S.P. - C.P.

⇒ Profit = (x/10) - (x/12)

⇒ Profit = (6x - 5x)/60

⇒ Profit = x/60 Rs.

⇒ Profit % = (Profit×100)/C.P.

⇒ Profit % = (x/60 × 100)÷(x/12)

⇒ Profit % = 20%        ←ANSWER

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