Correct Answer - Option 1 : 10%
Given:
SP of 250 articles = CP of 275 articles
Formula used:
P = S.P. – C.P.
L = C.P. – S.P.
P% = (P/C.P.) × 100
L% = (L/C.P.) × 100
Where,
P → Profit
L → Loss
SP → Selling price
CP → Cost price
Calculations:
Let the CP of 1 article be Rs.y and its SP be Rs.x.
So the SP of 250 articles = 250x
And the CP of 275 articles = 275y
According to the question,
250x = 275y
⇒ x ∶ y = 11 ∶ 10
Now let x and y be 11k and 10k respectively.
Since x > y
So P = 11k – 10k = k
P% = (P/CP) × 100
⇒ P% = (k/10k) × 100 = 10%
∴ The required Profit% is 10%.
