Correct Answer - Option 2 : 40
Given:
C.P of 50 articles = S.P of X articles
% Profit = 25%
Formula used:
% Profit = (profit/cost price) × 100
Profit = Selling price – Cost price
Concept used:
If ratio of C.P and S.P of one article or same article is a ∶ b, where a b then% profit = [(b – a)/a] × 100
Profit and loss is always calculated on C.P
Calculation:
(C.P of 1 article) × 50 = (S.P of 1 article) × X
C.P/S.P = X/50
Profit = Selling price – Cost price
⇒ 50 – X
Percent profit = (profit/cost price) × 100
⇒ (50 – X)/X × 100 = 25
⇒ (50 – X)/X = 1/4
⇒ 200 – 4X = X
⇒ 5X = 200
⇒ X = 200/5
⇒ 40
∴ The value of X is 40.
