Question

by selling a double bed for Rupee 27000 the trader losses 10% find his loss percent or profit percent, if he sells its for ₹33, 000​

Answer 1

Profit % = 10 %

Step-by-step explanation:

Given:

• Selling price of double bed is Rs 27000.
• Loss % made is 10 %.

To Find:

• What is loss % and profit % made by him after selling bed for Rs 33000.

Solution: First we need to find the C.P of bed. To find CP when SP and loss % are given we use the following formula.

C.P = (100/100 – Loss %) × S.P

Here we have

• Loss % = 10
• S.P = Rs 27000

$\implies{\rm }$ C.P = (100/ 100 – 10)27000

$\implies{\rm }$ C.P = 100/90 × 27000

$\implies{\rm }$ C.P = 2700000/90

$\implies{\rm }$ C.P = 30000

So the Cost price of bed was Rs 30000.

Now if seller wants to sold it at rs 33000. Then, we have

• C.P = Rs 30000
• S.P = Rs 33000

On Comparing both cp and sp

• SP > CP (here is a profit)

Profit = S.P – C.P

Profit = Rs (33000 – 30000) = 3000

Profit % = (Profit/CP)100

Profit % = (3000/30000)100

= 3000/300

= 10 %

Hence, profit percent is 10%.

Answer 2

Given :-

• The selling price (SP) of double bed is Rs. 27000.

• Loss percentage is 10%.

To Find :-

• The loss and profit percentage.

Solution :-

First Case :-

• SP = Rs. 27000
• Loss % = 10%

As we know that,

CP = (100/100 - Loss %) × SP

[ Putting values ]

➡ CP = (100/100 - 10) × 27000

➡ CP = 100/90 × 27000

➡ CP = 2700000/90

➡ CP = 30000

.°. The cost price of bed is Rs.30000.

Now,

• CP = Rs. 30000
• SP = Rs. 33000

Profit = SP - CP ( °.° SP > CP )

➡ Profit = 33000 - 30000

➡ Profit = Rs. 3000

Second Case :-

• Profit = Rs.3000
• CP = Rs. 30000

As we know that,

Profit % = ( Profit / CP ) × 100

➡ Profit % = ( 3000/30000) × 100

➡ Profit % = 3000/300

➡ Profit % = 10% .

Hence,

• The Profit percentage is 10%.