Question

The marked price of an item is twice The cost price for a gain of 15% ,what's the discount offered?​

Answer 1

Answer:

The discount offered is 42.5%.

Step-by-step explanation:

Given : The market price of an article is twice its cost price for a gain of 15%

To find : What is the discount offered?

Solution :

Let the cost price be Rs.100.

Market price became MP=2\times 100=200MP=2×100=200

There is gain %=15%

The selling price is

SP=\frac{100+G\%}{CP}\times 100SP=

CP

100+G%

×100

SP=\frac{100+15}{100}\times 100SP=

100

100+15

×100

SP=\frac{115}{100}\times 100SP=

100

115

×100

SP=Rs.115SP=Rs.115

The discount offered is

D\%=\frac{MP-SP}{MP}\times 100D%=

MP

MP−SP

×100

D\%=\frac{200-115}{200}\times 100D%=

200

200−115

×100

D\%=\frac{85}{200}\times 100D%=

200

85

×100

D\%=42.5\%D%=42.5%

Therefore, the discount offered is 42.5%.