A man sold two goats at 900 rupees each. There was 10% profit on the first sale and 10% loss on the second sale. Was there a profit or a loss on the whole transaction? What percent?

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Solution

Selling price of each goat = Rs 900

∴ Total selling price of both the goats = 2 × Rs 900 = Rs 1800

Profit percentage on the first sale = 10

Selling price of the first goat = (100 + 10)% of the total cost of the first goat

= 110% of the total cost of the first goat

⇒ Total cost of the first goat =

Loss percentage on the second sale = 10

Selling price of the second goat = (100 − 10)% of the total cost of the second goat

= 90% of the total cost of the second goat

⇒ Total cost of the second goat =

Total cost of the two goats = Rs (1000 + 818.18)

= Rs 1818.18

As the total selling price is less than the total cost price, so the man suffered loss on the whole transaction.

Total loss = Cost price − Selling price

= Rs 1818.18 − Rs 1800

= Rs 18.18

Loss percent =

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