Question

A dealer buys an article for ₹480.At what price must he mark it so that after allowing a discount of 5% he still makes a profit of 20%?

Answer 1

Solutions :-

We have,
A dealer buys an article for ₹480
After allowing a discount of 5% he still makes a profit of 20%


Selling price = C.P + Profit% of C.P
= 480 + 20% of 480
= 480 + 96
= 576

So, Selling price of an article = ₹ 576

Marked price = (S.P × 100)/(100 - discount)
= (576 × 100)/(100 - 5)
= 57600/95
= 606.31 (approx.)


Answer : Marked price of an article = ₹ 606.31

Answer 2

Solutions :-

Given :
Cost Price of an article = ₹ 480
Profit = 20 %
Discount = 5 %


Find the Selling price of an article :-

S.P = C.P + Profit% of C.P
= ₹ 480 + 20% of 480
= ₹ 480 + 0.2 × 480
= ₹ 480 + 96
= ₹ 576


Find the marked price of an article :-

M.P = (S.P × 100)/(100 - discount)
= ₹ (576 × 100)/(100 - 5)
= ₹ 57600/95
= ₹ 606.31 (approx.)


Hence,
The Marked price of an article = ₹ 606.31