Abhi sold an article after giving a discount of 20% and earned a profit of 60%. Had he given a discount of 12%. He would have earned rs 32 more. Find the selling price of article if abhi wants to earn a profit of 160% ?
Answers
Given info : Abhi sold an article after giving a discount of 20% and earned a profit of 60%. Had he given a discount of 12%. He would have earned rs 32 more.
To find : The selling price of article if abhi wants to earn a profit of 160 % , is ..
solution : method 1 : if 20 % discount , abhi gets 60 % profit.
if 12 % discount, abhi gets (60 % + Rs. 32) profit.
so, (20 - 12)% = 60 % + 32 - 60 %
⇒8 % = 32
⇒100% = 32/8 × 100 = 400
so, marked price was 400 Rs.
now to gain profit, 160 %
seeking price = 400 + 160% of 400
= 400 + 640
= 1040 Rs.
method 2 : let marked price is x
after discount 20% ,
selling price = x - 20% of x = 4x/5
after discount 12 %,
selling price = x - 12% of x = 22x/25
given, 22x/25 - 4x/5 = (60% + 32) - (60%) = 32
⇒2x/25 = 32
⇒x = 16 × 25 = 400
now, selling price = 400 + 160% of 400 = 1040