Final answer:
Chandan experienced a gain of 353.33% on his banana transaction after buying them at Rs 3.75 per dozen and selling 800 bananas at 2 for Rs 5 and the remaining at 6 for Rs 2.
Step-by-step explanation:
The question asks us to calculate the gain or loss percent encountered by Chandan on his transaction of buying and selling bananas.
First, we find the total cost of buying the bananas. Since Chandan bought the bananas at Rs 3.75 per dozen and he bought 1600 bananas, we need to calculate how many dozens he bought and then find the total cost:
- Number of dozens = Total number of bananas / 12
- Number of dozens = 1600 / 12 = 133.33 dozens (rounded to two decimal places)
- Total cost = Number of dozens × Cost per dozen = 133.33 × Rs 3.75 = Rs 500.00
Next, we calculate the revenue from selling the bananas:
He sold 800 bananas at the rate of 2 for Rs 5, which gives us Revenue1 = (800 / 2) × Rs 5 = Rs 2000.
- The remaining 800 bananas were sold at the rate of 6 for Rs 2, which gives us Revenue2 = (800 / 6) × Rs 2 = Rs 266.67 (rounded to two decimal places).
- Total revenue = Revenue1 + Revenue2 = Rs 2000 + Rs 266.67 = Rs 2266.67
Finally, to find the gain or loss percent, we use the formula:
Gain or Loss Percent = (Total Revenue - Total Cost) / Total Cost × 100%
Gain or Loss Percent = (Rs 2266.67 - Rs 500.00) / Rs 500.00 × 100% = 353.33%
Chandan made a gain of 353.33% on his transaction.