Question

If a man earns a selling price (SP) of 15 oranges from a profit of $60, what is his gain percent?

a) ( 25/3% )
b) ( 30/7% )
c) ( 60/7% )
d) ( 120/7% )

Answer 1

Without the exact selling price of one orange, the man's gain percent cannot be calculated. All the options provided require additional information on either the cost price or selling price of one orange.

Step-by-step explanation:

To calculate the man's gain percent, we first need to understand the relationship between cost price (CP), selling price (SP), and profit. The profit is calculated as the SP minus the CP. The gain percent or profit percentage is calculated using the formula:

Gain Percent = (Profit / Cost Price) x 100

However, the question does not provide the cost price directly; it only tells us that the SP of 15 oranges is equal to the profit of $60. To find the cost price of one orange, we need to subtract the profit earned from one orange's selling price. Once we have the cost price of one orange, we can calculate the cost price of 15 oranges and then use that to find the gain percent.

Assuming each of the 15 oranges has the same selling price and the same cost price, this is how the calculation would look:

1. Let SP of 1 orange be x.
2. So, SP of 15 oranges = 15x.
3. We know that SP of 15 oranges - CP of 15 oranges = $60 (this is the profit).
4. CP of 15 oranges = 15x - $60.
5. To find Gain Percent, we need the CP of one orange, which would be CP of 15 oranges / 15 = x - $4.
6. Now, we calculate Gain Percent = ($60 / (x - $4)) x 100.
7. Unfortunately, with the information provided, we cannot calculate an exact percentage because we do not know the actual SP (x) of one orange. So, none of the options a) ( 25/3% ) b) ( 30/7% ) c) ( 60/7% ) d) ( 120/7% ) can be determined to be correct without additional information about the cost or selling prices.

Therefore, the man's gain percent cannot be determined from the given information.