A sold an article to B at 25% profit and B further sold it to C by earning a certain profit. If the cost price of C is 30% more than the cost price of A, then find the profit percentage earned by B.

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SSC CGL 2023 Tier-I Official Paper (Held On: 21 Jul 2023 Shift 1)
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  1. \(5 \frac{1}{2} \% \\ \)
  2. 4%
  3. 5%
  4. \( 4\frac{1}{2} \%\)

Answer (Detailed Solution Below)

Option 2 : 4%
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Detailed Solution

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Given:

A sold an article to B at a profit of 25%.

B sold it to C at a profit.

The cost price of C is 30% more than the cost price of A

Concept used:

Profit = S.P. – C.P. (S.P. = Selling price, C.P.= Cost price)

S.P. = C.P. + (C.P. × profit%)

Calculation:

Let A buy the article for Rs.100x

A sold it to B at [100x + (100x × 25%)] = Rs.125x

B bought the article for Rs. 125x

C bought the article for = 100x + 100 × 30/100 = 130x

C's CP = B's SP

Profit earned by B = (130x – 125x) = Rs. 5x

Profit% = 5/125 × 100

= 4%

∴ The answer is 4%.

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