Question

For a certain article,if the discount is 25% then profit is 25%,if the discount is 10% then profit is?

Answer 1

Solutions :-


Let the marked price of an article be ₹ 100
Given : Discount on its marked price = 25 %


Find the Selling price of an article :-

S.P = M.P - discount % of M.P
= 100 - 25% of 100
= 100 - 25
= 75


Find the cost price of an article at 25% profit :-

C.P = (S.P × 100)/(100 + Profit)
= (75 × 100)/(100 + 25)
= 7500/125
= 60


Now,
Find the Selling price of other article at 10% discount :-

S.P = M.P - discount % of M.P
= 100 - 10% of 100
= 100 - 10
= 90


Here, we get.

Cost Price of article = Rs 60
Selling price = Rs 90

Selling price is greater than the Cost price. Therefore, Profit.

Profit = S.P - C.P
= Rs (90 - 60)
= Rs 30


Profit % = (profit × 100)/C.P %
= (30 × 100)/60 %
= 3000/60 %
= 50 %


Hence,
If the discount is 10% then profit is 50%

Answer 2

Hey mate,

For these types of questions we assume the total amount to be 100 Rs,

So,

ATQ,

SP = CP - 25%*CP

= 100 - 25%*100

= 75 Rs

Now, CP' when he received a profit of 25%,

CP' = SP*100/100+profit

= 7500/100+25

= 60 Rs

SP for the 2nd article,

SP = CP - 10%CP

= 90 Rs

So, profit = SP - CP'

= 30 Rs

% Gain = 30/60*100

= 50%

Hope this helps you out!