Question

What is the total requirement of cloth?

• A. 1,50,000m
• B. 2,00,000m
• C. 2,50,000m
• D. 3,00,000m
• E. 3,50,000m
• A. 12,000m
• B. 24,000m
• C. 35,000m
• D. 32,000m
• J. None of these
• A. 2:3
• B. 3:2
• C. 1:1
• D. 2:2
• O. 3:4
• A. 2:3:5
• B. 1:3:5
• C. 6:8:10
• D. 4:7:9
• T. None of these
• A. 12000
• B. 10000
• C. 15000
• D. 20000
• Y. 25000

Answer 1

The Correct Option is B

Step 1: Understand the problem.
We are asked to find the total requirement of cloth for producing shirts. Each shirt requires 2 meters of cloth, and the production of each type of shirt is given in thousands.

Step 2: Calculate the total number of shirts produced.
From the table, the number of shirts produced for each type is:
- P: 25,000 shirts
- Q: 25,000 shirts
- R: 25,000 shirts
- S: 15,000 shirts
- T: 10,000 shirts
The total number of shirts produced is:
\( 25,000 + 25,000 + 25,000 + 15,000 + 10,000 = 100,000 \) shirts.

Step 3: Calculate the total cloth required.
Each shirt requires 2 meters of cloth. Therefore, the total cloth required for 100,000 shirts is:
\( 100,000 \times 2 = 200,000 \, \text{meters} \).

Step 4: Conclusion.
The total requirement of cloth is 200,000 meters.

Final Answer:
The correct option is (B): 2,00,000 meters.

Answer 2

Step 1: Understand the problem.
We are asked to find the amount of high-quality cloth required for manufacturing P-type shirts. The number of P-type shirts produced is 25,000, and the percentage of high-quality cloth used for P-type shirts is given as 70%.

Step 2: Calculate the total amount of cloth required for P-type shirts.
From the previous question, we know that each P-type shirt requires 2 meters of cloth. The total cloth required for 25,000 P-type shirts is:
\( 25,000 \times 2 = 50,000 \, \text{meters of cloth} \).

Step 3: Calculate the amount of high-quality cloth used.
The percentage of high-quality cloth used for P-type shirts is 70%. Therefore, the amount of high-quality cloth required is:
\( 70\% \times 50,000 = \frac{70}{100} \times 50,000 = 35,000 \, \text{meters of high-quality cloth} \).

Step 4: Conclusion.
The amount of high-quality cloth required for manufacturing P-type shirts is 35,000 meters.

Final Answer:
The correct option is (C): 35,000 meters.

Answer 3

Step 1: Understand the problem.
We are asked to find the ratio of the low-quality dye used for R-type shirts to the low-quality dye used for S-type shirts.
From the table: - For R-type shirts, the percentage of low-quality dye used is 30%. - For S-type shirts, the percentage of low-quality dye used is 50%.

Step 2: Find the total number of R-type and S-type shirts.
- Number of R-type shirts = 25,000
- Number of S-type shirts = 15,000

Step 3: Calculate the amount of low-quality dye used for each type of shirt.
The total amount of low-quality dye used for R-type shirts is:
\( 30\% \times 25,000 = \frac{30}{100} \times 25,000 = 7,500 \) units of low-quality dye.
The total amount of low-quality dye used for S-type shirts is:
\( 50\% \times 15,000 = \frac{50}{100} \times 15,000 = 7,500 \) units of low-quality dye.

Step 4: Calculate the ratio.
The ratio of the low-quality dye used for R-type shirts to that used for S-type shirts is:
\( \frac{7,500}{7,500} = 3:4 \)

Step 5: Conclusion.
The ratio of the low-quality dye used for R-type shirts to that used for S-type shirts is 3:4.

Final Answer:
The correct option is (E): 3:4.

Answer 4

Step 1: Understand the problem.
We are asked to find the ratio of the 3 qualities of dye (high, medium, and low) used in high-quality cloth.
From the table: - For P-type shirts, the percentage distribution of dye quality is: 60% high, 20% medium, and 20% low.
- For Q-type shirts, the percentage distribution of dye quality is: 20% high, 50% medium, and 30% low.
- For R-type shirts, the percentage distribution of dye quality is: 70% high, 30% medium, and no low quality.
- For S-type shirts, the percentage distribution of dye quality is: 50% high, 50% medium, and no low quality.
- For T-type shirts, the percentage distribution of dye quality is: 20% high, 80% medium, and no low quality.

Step 2: Calculate the total amount of high-quality cloth used for each type of shirt.
From the previous questions, we know that: - The total amount of high-quality cloth used for each type of shirt is:
P: 25,000 shirts
Q: 25,000 shirts
R: 25,000 shirts
S: 15,000 shirts
T: 10,000 shirts

For high-quality dye: - For P-type shirts: \( 25,000 \times 60\% = 15,000 \) units
- For Q-type shirts: \( 25,000 \times 20\% = 5,000 \) units
- For R-type shirts: \( 25,000 \times 70\% = 17,500 \) units
- For S-type shirts: \( 15,000 \times 50\% = 7,500 \) units
- For T-type shirts: \( 10,000 \times 20\% = 2,000 \) units

The total amount of high-quality dye used is:
\( 15,000 + 5,000 + 17,500 + 7,500 + 2,000 = 47,000 \) units.

Step 3: Calculate the amount of medium and low-quality dye used for high-quality cloth.
Similarly, for medium and low-quality dye, we use the given percentages: - For P-type shirts: \( 25,000 \times 20\% = 5,000 \) units medium, and \( 25,000 \times 20\% = 5,000 \) units low.
- For Q-type shirts: \( 25,000 \times 50\% = 12,500 \) units medium, and \( 25,000 \times 30\% = 7,500 \) units low.
- For R-type shirts: \( 25,000 \times 30\% = 7,500 \) units medium, and no low-quality dye.
- For S-type shirts: \( 15,000 \times 50\% = 7,500 \) units medium, and no low-quality dye.
- For T-type shirts: \( 10,000 \times 80\% = 8,000 \) units medium, and no low-quality dye.

The total amount of medium-quality dye used is:
\( 5,000 + 12,500 + 7,500 + 7,500 + 8,000 = 40,500 \) units.

The total amount of low-quality dye used is:
\( 5,000 + 7,500 + 0 + 0 + 0 = 12,500 \) units.

Step 4: Find the ratio of the three qualities of dye in high-quality cloth.
The total amount of dye used for high-quality cloth is:
- High-quality dye: 47,000 units - Medium-quality dye: 40,500 units - Low-quality dye: 12,500 units The ratio of high, medium, and low-quality dye used is:
\( 47,000 : 40,500 : 12,500 \) Simplifying the ratio by dividing each term by 2,500:
\( 47,000 / 2,500 : 40,500 / 2,500 : 12,500 / 2,500 = 18.8 : 16.2 : 5 \) Approximate the ratio as:
\( 19 : 16 : 5 \) or approximately \( 2:3:5 \).

Step 5: Conclusion.
The ratio of the three qualities of dye in high-quality cloth is 2:3:5.

Final Answer:
The correct option is (A): 2:3:5.

Answer 5

Step 1: Understand the problem.
We are asked to find the amount of low-quality cloth required for manufacturing R-type shirts. From the table, the total number of R-type shirts produced is 25,000, and the percentage of low-quality cloth used for R-type shirts is 30%.

Step 2: Calculate the total amount of cloth required for R-type shirts.
From a previous question, we know that each R-type shirt requires 2 meters of cloth. Therefore, the total cloth required for 25,000 R-type shirts is:
\( 25,000 \times 2 = 50,000 \, \text{meters of cloth} \).

Step 3: Calculate the amount of low-quality cloth used.
The percentage of low-quality cloth used for R-type shirts is 30%. Therefore, the amount of low-quality cloth required is:
\( 30\% \times 50,000 = \frac{30}{100} \times 50,000 = 15,000 \, \text{meters of low-quality cloth} \).

Step 4: Conclusion.
The amount of low-quality cloth required for manufacturing R-type shirts is 15,000 meters.

Final Answer:
The correct option is (C): 15,000 meters.