Question

In a furniture store , 24 tables were bought at the rate of Rs. 400 per table. The shopkeeper sold all the tables for Rs.10800. Find his gain % or loss %.



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Answer 1

Answer:

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Answer 2

Answer:

Answer:

The profit per cent in the transaction was 12.5.

Step-by-step-explanation:

We have given that,

24 tables were brought at the rate of Rs. 400 per table.

All the tables were sold for Rs. 10800.

Now,

Rate of one table = Rs. 400

No. of tables = 24

∴ Cost of 24 tables = Rate of one table * No. of tables

⇒ Cost price of 24 tables = 400 * 24

⇒ Cost price of 24 tables = Rs. 9600

Now,

Selling price of 24 tables = Rs. 10800

Here, selling price of tables is greater than the cost price of tables.

∴ There was a profit in the transaction.

Now,

Profit = Selling price - Cost price

⇒ Profit = 10800 - 9600

⇒ Profit = Rs. 1200

Now, we know that,

Profit%=ProfitCostprice×100\displaystyle{\pink{\sf\:Profit\:\%\:=\:\dfrac{Profit}{Cost\:price}\:\times\:100}}Profit%=

Costprice

Profit

×100

⟹Profit%=12009600×100\displaystyle{\implies\sf\:Profit\:\%\:=\:\dfrac{12\cancel{00}}{96\cancel{00}}\:\times\:100}⟹Profit%=

96

00

12

00

×100

⟹Profit%=1296×100\displaystyle{\implies\sf\:Profit\:\%\:=\:\cancel{\dfrac{12}{96}}\:\times\:100}⟹Profit%=

96

12

×100

⟹Profit%=18×100\displaystyle{\implies\sf\:Profit\:\%\:=\:\dfrac{1}{8}\:\times\:100}⟹Profit%=

8

1

×100

⟹Profit%=1008\displaystyle{\implies\sf\:Profit\:\%\:=\:\cancel{\dfrac{100}{8}}}⟹Profit%=

8

100

⟹Profit%=252\displaystyle{\implies\sf\:Profit\:\%\:=\:\cancel{\dfrac{25}{2}}}⟹Profit%=

2

25

⟹Profit%=12.5‾\displaystyle{\implies\underline{\boxed{\red{\sf\:Profit\:\%\:=\:12.5}}}}⟹

Profit%=12.5

∴ The profit per cent in the transaction was 12.5.