Question

The profit earned when an article is sold for rs.800 is 20 times the loss incurred when it is sold for rs.275. at what price should the article be sold if it is desired to make a profit of 25%

Answer 1

800-CP=20(CP-275)
cp=300

sp=300×125/100=375

Answer 2

Answer:

Rs 375

Step-by-step explanation:

Situation a

Selling price of an article = Rs 800

Let the cost price of the article = x

Thus, Profit = Rs (800 - x)

Situation b

Selling price of the article = Rs 275

Loss = Rs (x - 275)

= (800 - x) = 20 (x - 275)

= 800 - x = 20x - 5500

= 21x = 6300

= x = 300

Therefore, the cost price of the article is Rs 300

Situation c

Cost prise = Rs 300

Profit = 25%

Hence, Selling price = CP x (100 + Gain%) / 100

                  = 300 x (100 + 25) / 100

                  = 375

Therefore, the article should be sold for Rs 375 to make a profit of 25%.