Question

An article was sold at a gain of 15 % .Had it been sold for$ 108 more,the profit would have been 20 %.find its cost price​

Answer 1

Answer:

Step-by-step explanation:

Let the cost of the article be x.

Given that it is sold at a gain of 15% = 15x/100.

Given that if it sold for 108 the profit would have been 20% = 20x/100.

20x/100 - 15x/100 = 108

5x/100 = 108

5x = 10800

x = 2160.

The cost price of the article  = 2160

Answer 2

Answer :-

• The cost price of the article is Rs. 2160.

Step-by-step explanation :

To Find :-

• The cost price of the article

Solution :-

Given that,

• An article was sold at a gain of 15%, it had been sold for Rs. 108, the profit would have 20%

Assumption: Let us assume the Cost Price as Rs. x, Then,

• Profit = { 15x } ÷ { 100 }

Also given, if it is sold for Rs. 108 more, then,

• Profit = { 20x } ÷ { 100 }

Therefore,

=> { 20x } ÷ { 100 } - { 15x } ÷ { 100 } = 108

=> { 5x } ÷ { 100 } = 108

=> 5x = 108 × 100

=> 5x = 10800

=> x = { 10800 } ÷ { 5 }

=> x = 2160

Hence, The cost price of the article is Rs. 2160.

Know more :-

Some more information related to cost price and selling price :-

• If Selling price is greater than cost price, then Profit.
• If Cost Price is greater than Selling price, then Loss.
• C.P. = Cost Price
• S.P. = Selling price.
• Profit = Selling price - Cost Price
• Loss = Cost Price - Selling price.