A Vendor sells apples at a certain price in order to make a profit of 30%. If he charges Rs. 1.5 higher per apple he would get a profit of 60%. Find the original price at which he sold an apple?a)Rs. 3.75b)Rs. 4.25c)Rs. 4.85d)Rs. 3.25e)None of theseCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Given:
Profit % = 30%
Increase in selling price = Rs. 1.5
New profit % = 60%

To Find:
Original selling price of an apple

Solution:

Let the original selling price of an apple be Rs. x

According to the question,

Profit made on selling an apple at Rs. x = 30% of x

Profit made on selling an apple at Rs. x + 1.5 = 60% of (x + 1.5)

We can write these as equations:

Profit on selling an apple at Rs. x = (30/100) * x

Profit on selling an apple at Rs. x + 1.5 = (60/100) * (x + 1.5)

Simplifying the second equation:

Profit on selling an apple at Rs. x + 1.5 = 0.6x + 0.9

We know that profit is the difference between the selling price and the cost price.

Therefore,

Selling price of an apple = cost price of an apple + profit

Selling price of an apple at Rs. x = x + (30/100) * x = 1.3x

Selling price of an apple at Rs. x + 1.5 = x + 1.5 + (60/100) * (x + 1.5) = 1.6x + 0.9

We know that the increase in selling price is Rs. 1.5

So,

1.6x + 0.9 - 1.3x = 1.5

0.3x = 0.6

x = 2

Therefore, the original selling price of an apple is Rs. 2

To check:

Profit on selling an apple at Rs. 2 = (30/100) * 2 = 0.6

Profit on selling an apple at Rs. 3.5 = (60/100) * 4.5 = 2.7

Increase in profit = 2.7 - 0.6 = 2.1

Increase in selling price = 3.5 - 2 = 1.5

Therefore, the answer is option A) Rs. 3.75.

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