Pencils, Pens and Exercise books in a shop are in the ratio of 10: 2 : 3. If there are 120 pencils, the number of exercise books in the shop is:

Options

A. A) 26
B. B) 36
C. C) 46
D. D) 56

Answer

To solve the problem, we need to find the number of exercise books in the shop given the ratio of pencils, pens, and exercise books, and the number of pencils.

### Step-by-Step Solution:

1. **Understand the Ratio**: The ratio of pencils, pens, and exercise books is given as 10:2:3. This means:
- For every 10 pencils, there are 2 pens and 3 exercise books.

2. **Identify the Total Parts in the Ratio**:
- Add the parts of the ratio together:
\[ 10 + 2 + 3 = 15 \text{ parts} \]

3. **Determine the Value of One Part**:
- Since we know there are 120 pencils, we can find the value of one part by dividing the number of pencils by the number of parts that represent pencils in the ratio:
\[ \text{Value of one part} = \frac{120 \text{ pencils}}{10 \text{ parts}} = 12 \]

4. **Calculate the Number of Exercise Books**:
- Now that we know the value of one part, we can find the number of exercise books. Since exercise books correspond to 3 parts in the ratio:
\[ \text{Number of exercise books} = 3 \text{ parts} \times 12 = 36 \]

5. **Final Answer**:
- Therefore, the number of exercise books in the shop is **36**.