A person bought some oranges worth Rs36 from each of the five markets at Rs1, Rs1.50, Rs1.80, Rs2 and Rs2.25 per orange, respectively. What is the average price of an orange?

Options

A. X1.91
B. X2.00
C. X1.58
D. X1.80

Answer

To find the average price of an orange, we need to follow these steps:

### Step 1: Calculate the number of oranges bought from each market
The total amount spent in each market is Rs. 36. We will divide this amount by the price per orange in each market to find the number of oranges bought.

1. **Market 1**: Price per orange = Rs. 1
\[ \text{Number of oranges} = \frac{36}{1} = 36 \]

2. **Market 2**: Price per orange = Rs. 1.50
\[ \text{Number of oranges} = \frac{36}{1.50} = 24 \]

3. **Market 3**: Price per orange = Rs. 1.80
\[ \text{Number of oranges} = \frac{36}{1.80} = 20 \]

4. **Market 4**: Price per orange = Rs. 2
\[ \text{Number of oranges} = \frac{36}{2} = 18 \]

5. **Market 5**: Price per orange = Rs. 2.25
\[ \text{Number of oranges} = \frac{36}{2.25} = 16 \]

### Step 2: Calculate the total number of oranges
Now, we will sum up the number of oranges bought from all five markets:
\[ \text{Total number of oranges} = 36 + 24 + 20 + 18 + 16 = 114 \]

### Step 3: Calculate the total expenditure
The total expenditure is the sum of the amounts spent in each market:
\[ \text{Total expenditure} = 36 + 36 + 36 + 36 + 36 = 180 \]

### Step 4: Calculate the average price of an orange
The average price of an orange can be calculated by dividing the total expenditure by the total number of oranges:
\[ \text{Average price} = \frac{\text{Total expenditure}}{\text{Total number of oranges}} = \frac{180}{114} \approx 1.58 \]

### Final Answer
The average price of an orange is approximately Rs. 1.58.

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