A man purchases some apples at the rate of 3 for Rs 4 and same quantity at 4 for Rs 7. If he sells all the apples at the rate of 5 for Rs 9, find his gain or loss percent?a)17% lossb)17% gainc)15% lossd)15% gaine)None of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Let he buys x apples at the rate 4/3 and x apples at the rate of 7/4
so cost price = 4x/3 + 7x/4 = 37x/12
and selling price = (9/5)*2x = 18x/5
% gain = [(37x/12 – 18x/5)/(37x/12)]*100 = 17% (approx)

Answer

Let he buys x apples at the rate 4/3 and x apples at the rate of 7/4
so cost price = 4x/3 + 7x/4 = 37x/12
and selling price = (9/5)*2x = 18x/5
% gain = [(37x/12 – 18x/5)/(37x/12)]*100 = 17% (approx)

Answer

To solve this problem, let's assume that the man buys 12 apples at both rates, as it is the least common multiple of the two rates (3 for Rs 4 and 4 for Rs 7).

Step 1: Calculate the cost price of the apples
At a rate of 3 apples for Rs 4, the cost price of 12 apples would be:
12 apples = 4/3 * 12 = Rs 16

At a rate of 4 apples for Rs 7, the cost price of 12 apples would be:
12 apples = 7/4 * 12 = Rs 21

Step 2: Calculate the selling price of the apples
The man sells all the apples at the rate of 5 for Rs 9.

Therefore, the selling price of 12 apples would be:
12 apples = 9/5 * 12 = Rs 21.60

Step 3: Calculate the gain or loss percent
To find the gain or loss percent, we use the formula:
Gain or Loss percent = (Selling Price - Cost Price) / Cost Price * 100

In this case, the selling price is Rs 21.60 and the cost price is Rs 21.

Gain or Loss percent = (21.60 - 21) / 21 * 100
= 0.60 / 21 * 100
= 2.86%

Therefore, the man has a gain of 2.86%.

Since none of the given options match the calculated gain percent, the correct answer is 'None of these'.

Note: It is important to note that in this question, the rates at which the apples are bought and sold are not consistent. This means that we cannot directly calculate the gain or loss percent by comparing the rates. Instead, we need to consider the quantities and prices to find the answer.

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