A dealer sold 600 quintals of sugar at a profit of 7%. If a quintal of sugar cost him Rs. 1600, find his total profit and the selling price.

Answer

To solve the problem step by step, we will calculate the total cost price of the sugar, the total profit, and the selling price.

### Step 1: Calculate the Cost Price of 600 Quintals
The cost price (CP) of one quintal of sugar is given as Rs. 1600. To find the cost price of 600 quintals, we multiply the cost price of one quintal by the number of quintals sold.

\[ \text{Cost Price of 600 Quintals} = \text{Cost Price of One Quintal} \times \text{Number of Quintals} \]
\[ \text{Cost Price of 600 Quintals} = 1600 \times 600 \]
\[ \text{Cost Price of 600 Quintals} = 960000 \]

### Step 2: Calculate the Profit
The profit percentage is given as 7%. To find the total profit, we calculate 7% of the total cost price.

\[ \text{Profit} = \left( \frac{7}{100} \right) \times \text{Cost Price} \]
\[ \text{Profit} = \left( \frac{7}{100} \right) \times 960000 \]
\[ \text{Profit} = 67200 \]

### Step 3: Calculate the Selling Price
The selling price (SP) can be calculated by adding the profit to the cost price.

\[ \text{Selling Price} = \text{Cost Price} + \text{Profit} \]
\[ \text{Selling Price} = 960000 + 67200 \]
\[ \text{Selling Price} = 1027200 \]

### Final Results
- Total Profit: Rs. 67,200
- Selling Price: Rs. 1,027,200

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