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 %.

Answer 1

Answer:

Gain of 12.5 %

Step-by-step explanation:

Rate of chairs = 400 per chair

total chairs bought = 24

Cost Price of chairs = 24 X 400

= Rs. 9,600

Selling Price of Chairs = Rs. 10,800

Since, SP > CP

Therefore, its a Profit/Gain of = SP - CP

= Rs. (10800 - 9600)

= Rs. 1200

Now, Profit % = (Profit÷CP) X 100

= (1200÷9600) X 100

= 0.125 X 100

= 12.5 %

Answer 2

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,

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

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

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

$\displaystyle{\implies\sf\:Profit\:\%\:=\:\dfrac{1}{8}\:\times\:100}$

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

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

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

∴ The profit per cent in the transaction was 12.5.