A pencil costs two and a half rupees.Amit buys one and half dozen pencils and give a 100 rupee note to the shopkeeper.The money he will get back is

Options

A. ₹ 45
B. ₹65
C. ₹30
D. ₹55

Answer

To solve the problem step by step, we will follow these calculations:

### Step 1: Determine the cost of one pencil.
The cost of one pencil is given as 2.5 rupees.

### Step 2: Calculate how many pencils Amit buys.
Amit buys one and a half dozen pencils.
1 dozen = 12 pencils, so:
1.5 dozen = 1.5 × 12 = 18 pencils.

### Step 3: Calculate the total cost of the pencils.
To find the total cost of 18 pencils, we multiply the cost of one pencil by the number of pencils:
Total cost = Cost of one pencil × Number of pencils
Total cost = 2.5 rupees × 18 pencils.

Calculating this:
Total cost = 2.5 × 18 = 45 rupees.

### Step 4: Determine how much money Amit gives to the shopkeeper.
Amit gives a 100 rupee note to the shopkeeper.

### Step 5: Calculate the change Amit will receive.
To find out how much money Amit will get back, we subtract the total cost of the pencils from the amount he gave to the shopkeeper:
Change = Amount given to shopkeeper - Total cost
Change = 100 rupees - 45 rupees.

Calculating this:
Change = 100 - 45 = 55 rupees.

### Final Answer:
Amit will get back 55 rupees.

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