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If the selling price is doubled, the profit becomes three times the original. Find the new profit percentage.
Question

If the selling price is doubled, the profit becomes three times the original. Find the new profit percentage.

A.

200%

B.

150%

C.

100%

D.

300%

Correct option is D

Given:

Selling price is doubled → Profit becomes 3 times the original profit

Formula Used:

Profit % =ProfitCost Price×100 \frac{\text{Profit}}{\text{Cost Price}} \times 100

Solution:
Let the cost price (CP) be ₹100

Let original selling price (SP) be ₹x → then, original profit = x – 100

New selling price = ₹2x → new profit = 2x - 100 = 3(x - 100)

2x - 100 = 3x - 300

x = 200

So, original SP = ₹200
New SP = ₹400
CP = ₹100
New profit = 400 - 100 = 300

New profit %=300100×100=300% \frac{300}{100} \times 100 = 300\% 

Alternate Method:

3(y - x) = 2y -x

y = 2x

xy=12\frac xy =\frac 12 

New Profit %= 411×100%=31×100%=300%\frac {4-1}{1}\times 100\%=\frac 31 \times 100\%=300\%​​

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