A man finds that CP of 275 articles is equal to SP of 250 articles. Fi

1.	A man finds that CP of 275 articles is equal to SP of 250 articles. Find the profit percent.1. 10%2. 25%3. 12%4. 8%
Answer» 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%.

A man finds that CP of 275 articles is equal to SP of 250 articles. Find the profit percent.1. 10%2. 25%3. 12%4. 8%

Answer» 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%.

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