Question

how much percent above the cost price should A shopkeeper mark his goods so that after allowing a discount of 10% on the market price he gain 8%

Answer 1

Answer:

let the CP be Rs. a hundred and MRP be Rs. x

gain % when discount = 8%

gain = 8% of a hundred = Rs. 8

⇒ SP of the article = CP + Gain  

= Rs. (100 + 12) = Rs. 108

Discount % = 100%

Discount = 100 % of Marked worth

= Rs.10/100 × x  

= Rs. 10x/100  

= Rs. x/10

according to question

marked worth - discount = SP

=> x - x/10 = 108

=> (10x - x)/10 = 108

=> 9x/10 = 108

=> x = 108 × 10/9 = Rs. 120

marked worth = Rs. 120

amount marked on top of the CP = MP - CP

= Rs. (120 - 100)  

= Rs. 20

∴ % amount marked on top of the CP  

= amount increased/CP × 100

= 20/100 ×100  

= 20%

================

@GauravSaxena01