The cost of 21 pencils and 9 clippers is ? 810. What is the total cost of 7 pencils and 3 clippers together ?

Options

A. 204
B. 409
C. X 273
D. X 208

Answer

To solve the problem step by step, we will define variables for the costs of the pencils and clippers, set up an equation based on the given information, and then find the required total cost.

### Step 1: Define Variables
Let:
- \( p \) = cost of one pencil
- \( c \) = cost of one clipper

### Step 2: Set Up the Equation
From the problem, we know that:
- The cost of 21 pencils and 9 clippers is ₹810.

This can be expressed as the equation:
\[ 21p + 9c = 810 \] (Equation 1)

### Step 3: Simplify the Equation
To make calculations easier, we can divide the entire equation by 3:
\[ \frac{21p}{3} + \frac{9c}{3} = \frac{810}{3} \]
This simplifies to:
\[ 7p + 3c = 270 \] (Equation 2)

### Step 4: Find the Total Cost of 7 Pencils and 3 Clippers
We need to find the total cost of 7 pencils and 3 clippers, which is represented by the equation we derived:
\[ 7p + 3c = 270 \]

### Step 5: Conclusion
Thus, the total cost of 7 pencils and 3 clippers is ₹270.

### Summary
The answer to the question is:
**The total cost of 7 pencils and 3 clippers together is ₹270.**