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Question

If selling price is doubled, the profit triples. Find the profit percent:

A
$$66\frac{2}{3}\% $$
B
$$100$$%
C
$$105\frac{1}{3}\% $$
D
$$120$$%
Solution
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Correct option is B. $$100$$%
Let the C.P be $$\ Rs.100$$ and S.P be $$\ Rs.x$$, Then
The profit is $$\left(x-100\right)$$
Now the S.P is doubled, then the new S.P is $$2x$$
New profit is $$\left(2x-100\right)$$
Now as per the given condition;
$$\Rightarrow\, 3\left(x-100\right) = 2x-100$$
By solving, we get
$$3x-300=2x-100$$
$$\Rightarrow\,x=-100+300=200$$
Then the Profit percent $$=200-100\%= 100\%$$
Hence the profit percentage is $$100\%$$

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