Question

The cost price of 50 articles is same as selling price of X articles. If the profit percent is 25%. The value of X is:
1. 30
2. 40
3. 45
4. None of these

Answer 1

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.