By selling 125 cassettes,a man gains an amount equal to the selling price of 5 cassettes. Find the gain%.

The answer is 25/6 which is round of to 4.16

To find the gain percentage, we first need to determine the cost price (CP) and selling price (SP) of each cassette.

We are given that by selling 125 cassettes, the man gains an amount equal to the selling price of 5 cassettes. This means that the gain of the entire transaction is equal to the selling price of 5 cassettes.

Let's assume the selling price of 1 cassette is S. Therefore, the selling price of 5 cassettes would be 5S.

According to the given information, the man's gain is equal to the selling price of 5 cassettes. So, we have:

Gain = 5S

Now, we need to find the cost price (CP) of 125 cassettes. Since the gain is the selling price of 5 cassettes, we can say:

Gain = Selling Price (SP) - Cost Price (CP)

Since we know the gain is 5S, and we're selling 125 cassettes, we can write the equation as:

5S = 125S - CP

To find CP, we can rearrange the equation:

CP = 125S - 5S

CP = 120S

Now, the gain percentage can be calculated using the formula:

Gain percentage = (Gain / CP) * 100

Plugging in the values, we get:

Gain percentage = (5S / 120S) * 100

Simplifying the equation:

Gain percentage = (5/120) * 100

Gain percentage = 4.1667 * 100

Gain percentage = 416.67%

Therefore, the gain percentage is 416.67%.

50%

125(s-c) = 5s

125s - 125c = 5s
125c = 120s
s/c = 125/120 = 25/24

So, what % gain is that?