a businessman purchased certain items worth rs. 1200 and after selling some items at the end of the first day made a profit of 16 % on items sold on that day. if his profit for the day was 4 % of his total purchases what is his stock at the end of the day

To find the businessman's stock at the end of the day, we first need to calculate the profit he made on the items sold on the first day.

Let's denote the cost price of the items sold on the first day as X.

Since the profit made on the items sold on the first day is 16% of their cost price, the profit can be calculated as:

Profit = (16/100) * X

Given that the profit for the day is 4% of the total purchases, the total purchases can be calculated as:

Total Purchases = (100/4) * Profit = 25 * Profit

We know that the total purchases were Rs. 1200, so we can set up the equation:

25 * Profit = 1200

Solving for Profit:

Profit = 1200 / 25 = 48 Rs

Since the profit made on the first day was 16% of the cost price of the items sold, we can set up the equation:

(16/100) * X = 48

Solving for X:

X = 48 * 100 / 16 = 300 Rs

Now, we can calculate the stock at the end of the day:

Stock at the end of the day = Total Purchases - Items Sold

Stock at the end of the day = 1200 - X = 1200 - 300 = 900 Rs

Therefore, the businessman's stock at the end of the day is Rs. 900.

To find the businessman's stock at the end of the day, we need to determine the value of the items he sold, as well as his total purchases.

Let's break down the given information:

1. The businessman made a profit of 16% on the items sold on the first day.
2. His profit for the day was 4% of his total purchases.
3. The total value of items purchased is worth Rs. 1200.

To calculate the profit made on the items sold on the first day, we need to determine the selling price of those items. Since we know the profit percentage and the cost price, we can use the formula:

Profit = (Profit Percentage/100) * Cost Price

Let's calculate the profit made on the items sold on the first day:

Profit = (16/100) * Rs. 1200
Profit = Rs. 192

Now we know that the profit made on the items sold on the first day is Rs. 192. Additionally, we are told that this profit is 4% of the total purchases. Using this information, we can set up the following equation:

4% of Total Purchases = Rs. 192

To find the total purchases, we need to divide Rs. 192 by 4/100:

Total Purchases = (Rs. 192) / (4/100)
Total Purchases = Rs. 4800

So, the businessman's total purchases for the day were Rs. 4800.

To find the stock at the end of the day, we need to subtract the value of the items sold from the total purchases:

Stock at the end of the day = Total Purchases - Value of items sold
Stock at the end of the day = Rs. 4800 - Rs. 1200 (since the value of items sold is Rs. 1200)
Stock at the end of the day = Rs. 3600

Therefore, the businessman's stock at the end of the day is worth Rs. 3600.