Question

. After allowing a discount of 16%, there was still
a gain of 5%. At what per cent above the cost
price was the marked price?
​use x method only​

Answer 1

Step-by-step explanation:

Let the CP be Rs. x.

Profit% = 5%

SP = (1+r/100)*CP

SP = (1+5/100)*Rs.x

SP = Rs.26x/25

Discount% = 16%

SP = (1-d/100)*MP

Rs.26x/25 = (1-16/100)*MP

Rs.26x/25 = 21/25*MP

MP = Rs. 26x/25*25/21

MP = Rs. 26x/21

Difference of MP and CP = Rs. 26x/21 - Rs. x

= Rs. 5x/21

Percentage of difference = diff./CP *100

= (Rs.5x/21)/Rs.x/100

= 500/21

= 23.8%

Ans.= The MP should be 23.8% above the CP.