Question

A table is sold at a profit of 20%. If the cost price and selling price are Rs 200 less, the profit would be 8% more. Find the cost price.​

Answer 1

Answer:

Let CP = C

Profit = 20%

SP = C + 0.20C = 1.2C

New CP = C - 200

New SP = 1.20C - 200

New profit = NSP - NCP = 1.20C - 200 - C + 200

= 0.2C

But new profit is 25% of NCP

=> 0.2C = 25/100 x (C - 200)

=>  0.2C = 0.25C - 50

=> 50 = 0.25C - 0.2C

=> 50 = 0.05C

=> C = 1000

THEREFORE, CP =  1000

Please add as BRAINLIEST if it is correct and sorry if it is wrong.

Answer 2

Answer:

The cost price is $Rs. 1000$.

Step-by-step explanation:

Cost price is the price at which article is bought.

Assuming $CP=C$

Profit is the difference between the amount earned and the amount spent.

It is given that profit $P=20%$%

According to given question

Selling price $SP = C + 0.20C = 1.2C$

Selling price the amount at which article is sold.

According to question

New cost price $CP = C - 200$

and new selling price $SP = 1.20C - 200$

New profit $= NSP - NCP = 1.20C - 200 - C + 200=0.2C$

Also, new profit is $25$% of $NCP$

$0.2C = 25/100 x (C - 200)$

$0.2C = 0.25C - 50$

$50 = 0.25C - 0.2C$

$50 = 0.05C$

$C = 1000$

Therefore, new cost price is $Rs. 1000$

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