Directions (): Study the following information carefully and answer the given questions.
A designer studio, as a part of an assignment undertaken, had employed a certain number of workers for two weeks (Week 1 and Week 2), to work upon two types of cloth material (Type A and Type B). In week 1, the workers could work upon 1140 metres of cloth material (Type A Type B). The quantity of Type A material worked upon in week 2 was 120 metre more than that in week 1. The quantity of Type B material worked upon in week 2 was 60 metres less than that in week 1. The wage per worker given (for two weeks together) was 12000. The total wages paid to workers for both the weeks together was 14,40,000. (The same number of workers were working in week 1 and week 2.)
What is total quantity of cloth material worked upon in week2?

Options

A. 1800 metres
B. 900metres
C. 1150metres
D. 1200 metres

Answer

To solve the problem step by step, we will break down the information provided and calculate the total quantity of cloth material worked upon in Week 2.

### Step 1: Understand the Information Given
- In Week 1, the total quantity of cloth material (Type A + Type B) worked upon is 1140 meters.
- In Week 2, the quantity of Type A material worked upon is 120 meters more than in Week 1.
- In Week 2, the quantity of Type B material worked upon is 60 meters less than in Week 1.

### Step 2: Define Variables
Let's define:
- Let \( X \) be the quantity of Type A material worked upon in Week 1.
- Let \( Y \) be the quantity of Type B material worked upon in Week 1.

From the information given:
\[ X + Y = 1140 \quad \text{(1)} \]

### Step 3: Calculate Quantities for Week 2
In Week 2:
- The quantity of Type A material worked upon is:
\[ X + 120 \quad \text{(2)} \]
- The quantity of Type B material worked upon is:
\[ Y - 60 \quad \text{(3)} \]

### Step 4: Total Quantity in Week 2
Now, we can find the total quantity of cloth material worked upon in Week 2 by adding equations (2) and (3):
\[ \text{Total in Week 2} = (X + 120) + (Y - 60) \]
\[ = X + Y + 120 - 60 \]
\[ = X + Y + 60 \]

### Step 5: Substitute the Value from Equation (1)
From equation (1), we know \( X + Y = 1140 \). Substituting this into the equation gives:
\[ \text{Total in Week 2} = 1140 + 60 \]
\[ = 1200 \text{ meters} \]

### Conclusion
The total quantity of cloth material worked upon in Week 2 is **1200 meters**.