An article passing through two hands is sold at a total profit of 40% of the original cost price. If the first dealer makes a profit of 30%, then the profit percentage made by the second dealer is:

Question

Accepted Answer

Let the original cost price be 100 units.

The total profit is 40%, so the final selling price after two dealers is 140.

First dealer makes a profit of 30%, so his selling price = 100 + 30% of 100 = 130.

Let the second dealer's profit percentage be x%.

The second dealer buys at 130 and sells at 140.

So, 130 * (1 + x/100) = 140

=> 1 + x/100 = 140 / 130 = 14 / 13

=> x/100 = (14/13) - 1 = (14 - 13)/13 = 1/13

=> x = 100 / 13 = 7.6923% = 7 (9/13)% approximately.

However, the options given are fractional percentages, so let's re-check the calculation carefully.

Recalculate:

130 * (1 + x/100) = 140

=> 1 + x/100 = 140 / 130 = 14 / 13

=> x/100 = 1/13

=> x = 100 / 13 = 7.6923%

This corresponds to 7 (9/13)%.

But the first option is 8 (6/13)% which is 8 + 6/13 = 8.4615%, second is 6 (3/13)% = 6.2307%, third is 7 (1/13)% = 7.0769%, fourth is 7 (9/13)% = 7.6923%.

So the correct answer is 7 (9/13)%.

Therefore, option 4 is correct.

Answer

Answer

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