c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per
and gained Rs 800 .
(i) Find the selling price of 50 kg of oranges.
(ii) At what rate of price did he buy the oranges?

Question

c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per

and gained Rs 800 .
(i) Find the selling price of 50 kg of oranges.
(ii) At what rate of price did he buy the oranges?

UpStudy AI · Accepted Answer

Let's solve the problem step by step.

### Given:
- **Quantity sold:** 50 kg of oranges
- **Selling price per kg (SP/kg):** Rs 80
- **Total profit (Gain):** Rs 800

### (i) Find the Selling Price of 50 kg of Oranges.

The **selling price (SP)** for the total quantity can be calculated as:

$$
\text{SP} = \text{Quantity} \times \text{Selling Price per kg} = 50 \, \text{kg} \times \text{Rs } 80/\text{kg} = \text{Rs } 4000
$$

**Answer:** The selling price of 50 kg of oranges is **Rs 4000**.

---

### (ii) At What Rate Did He Buy the Oranges?

To find the **cost price (CP)** per kg, we'll use the relationship between selling price, cost price, and profit.

$$
\text{Profit} = \text{Selling Price} - \text{Cost Price}
$$

Given that the total profit is Rs 800, we can express it as:

$$
800 = \text{Total SP} - \text{Total CP}
$$

We already know the **Total SP** is Rs 4000. Let the **Total CP** be $$ \text{CP}_{\text{total}} $$.

$$
800 = 4000 - \text{CP}_{\text{total}} \
\text{CP}_{\text{total}} = 4000 - 800 = 3200 \, \text{Rs}
$$

Now, find the **Cost Price per kg (CP/kg)**:

$$
\text{CP/kg} = \frac{\text{Total CP}}{\text{Quantity}} = \frac{3200}{50} = \text{Rs } 64/\text{kg}
$$

**Answer:** The buying price was **Rs 64 per kg**.

### Summary:
1. **Selling Price of 50 kg:** Rs 4000
2. **Buying Price per kg:** Rs 64
**Solutions:** 1. **Selling Price of 50 kg of Oranges:** Rs 4000 2. **Buying Price per kg of Oranges:** Rs 64

c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per
and gained Rs 800 .
(i) Find the selling price of 50 kg of oranges.
(ii) At what rate of price did he buy the oranges?

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions

c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per and gained Rs 800 . (i) Find the selling price of 50 kg of oranges. (ii) At what rate of price did he buy the oranges?

Upstudy AI Solution

Answer

Solution

Extra Insights

Related Questions

Latest Arithmetic Questions

c) A fruit seller sold 50 kg of oranges at the rate of Rs 80 per
and gained Rs 800 .
(i) Find the selling price of 50 kg of oranges.
(ii) At what rate of price did he buy the oranges?