Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%.15%16%14.5%15.54%
Question
Find the resultant profit if A sells a cupboard at a profit of 6% to B and B sells the same to C at a profit of 9%.15%16%14.5%15.54%
Solution
To find the resultant profit, we need to calculate the total profit percentage when A sells to B and then B sells to C.
Step 1: A sells to B at a profit of 6%. So, if the cost price for A was 100%, the selling price for A (which becomes the cost price for B) is 106%.
Step 2: B then sells to C at a profit of 9%. This profit is calculated on B's cost price, which is 106%. So, the profit for B is 9% of 106%, which is 9.54%.
Step 3: To find the total profit percentage, we add the profit percentages together. However, since B's profit is calculated on a cost price that already includes A's profit, we don't simply add the two profit percentages together. Instead, we add A's profit to B's profit calculated in step 2.
So, the total profit percentage is 6% (A's profit) + 9.54% (B's profit) = 15.54%.
Therefore, the resultant profit is 15.54%.
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