25 men can make 120 chairs in 10 days. How many chairs can be made by 35 men in 15 days.
(a)252
(b)345
(c)234
(d)278

Answer

To solve the problem step by step, we will use the relationship between men, days, and work (in this case, chairs).

### Step 1: Understand the given information
We know that:
- 25 men can make 120 chairs in 10 days.

### Step 2: Calculate the work done by one man in one day
To find out how many chairs one man can make in one day, we can use the formula:

\[ \text{Work done by one man in one day} = \frac{\text{Total chairs}}{\text{Number of men} \times \text{Number of days}} \]

Substituting the values:

\[ \text{Work done by one man in one day} = \frac{120}{25 \times 10} = \frac{120}{250} = 0.48 \text{ chairs} \]

### Step 3: Calculate the total work done by 35 men in 15 days
Now, we need to find out how many chairs can be made by 35 men in 15 days. We can use the formula:

\[ \text{Total work} = \text{Number of men} \times \text{Number of days} \times \text{Work done by one man in one day} \]

Substituting the values:

\[ \text{Total work} = 35 \times 15 \times 0.48 \]

Calculating this step-by-step:

1. Calculate \(35 \times 15 = 525\)
2. Then multiply by \(0.48\):

\[ 525 \times 0.48 = 252 \]

### Step 4: Conclusion
Thus, the total number of chairs that can be made by 35 men in 15 days is **252**.

### Final Answer
The answer is (a) 252.

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