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
It's quiet simple.
A/Q
On sold item,he made a profit of 16%
Let he sold x items.
So profit would be
(1200-x)*0.16
Now,
This is equal to 4% of purchased means
4% of 1200=0.04*1200=48
So,
(1200-x)*0.16=48
On solving.
We get,
X=900.
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To find the businessman's stock at the end of the day, we need to calculate the total value of the items he sold on the first day.
Let's assume the value of the items sold on the first day is x.
The profit made on the items sold on the first day is given as 16% of x, which can be calculated as (16/100) * x.
We also know that the profit for the day is 4% of his total purchases, which is given as 4% of Rs. 1200. This can be calculated as (4/100) * 1200.
Since the profit made on the items sold on the first day and the profit for the day should be equal, we can set up an equation:
(16/100) * x = (4/100) * 1200
Simplifying the equation:
(16/100) * x = (4/100) * 1200
16x = 4 * 1200
16x = 4800
x = 4800/16
x = 300
Therefore, the value of the items sold on the first day (x) is Rs. 300.
To find the stock at the end of the day, we subtract the value of the items sold (x) from the total purchases:
Stock = Total Purchases - Value of Items Sold
Stock = 1200 - 300
Stock = Rs. 900
Hence, 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 amount he earned from selling items on the first day and the total profit he earned.
Let's break down the information provided:
1. The businessman made a profit of 16% on the items he sold on the first day.
Let's assume the cost price (C1) of the items he sold on the first day is x.
Therefore, the profit made on those items (P1) can be calculated as: P1 = (16/100) * x.
2. The businessman's profit for the day was 4% of his total purchases.
Let's assume the total cost price of all items purchased is y.
Therefore, the total profit for the day (P_total) can be calculated as: P_total = (4/100) * y.
3. The businessman purchased items worth Rs. 1200.
Therefore, the total cost price of all items purchased (y) is Rs. 1200.
Now, we can calculate the profit made on the items sold on the first day (P1):
P1 = (16/100) * x
We can also calculate the total profit for the day (P_total):
P_total = (4/100) * 1200
To find the stock at the end of the day, we need to subtract the profit made on items sold (P1) from the total profit for the day (P_total):
Stock = 1200 - (P_total - P1)
Let's calculate this:
P_total = (4/100) * 1200
P_total = 0.04 * 1200
P_total = 48
P1 = (16/100) * x
Stock = 1200 - (48 - P1)
Unfortunately, we don't have enough information to calculate the exact stock amount without knowing the value of x (the cost price of items sold on the first day). The question does not provide this information, so the stock at the end of the day cannot be determined with the given data alone.
Please note that the calculation above assumes that the profit earned is based on the cost price of the items sold. If the profit is based on the selling price or any other factors not mentioned in the question, the calculation may differ.
Profit:
.16*Sold
.04*(sold+stock)
but sold+stock=1200
.16(sold)=.04(1200)
solve for sold.
Now, stock=1200-sold