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In each question, you are given certain data followed by two statements. For answering the questions:

Mark a, if both the statements together are insufficient to answer the question.

Mark b, if any one of the two statements is sufficient to answer the question.

Mark c, if each statement alone is sufficient to answer the question.

Mark d, if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

What is the number of type 2 widgets produced, if the total number of widgets produced is $20,000$?

1. If the production of type- 1 widgets increases by $10$% and that of type-2 decreases by $6$%, the total production remains the same.

2. The ratio in which type- 1 and type- 2 widgets are produced is $2: 1$.

Mark a, if both the statements together are insufficient to answer the question.

Mark b, if any one of the two statements is sufficient to answer the question.

Mark c, if each statement alone is sufficient to answer the question.

Mark d, if both the statements together are sufficient to answer the question, but neither statement alone is sufficient.

What is the number of type 2 widgets produced, if the total number of widgets produced is $20,000$?

1. If the production of type- 1 widgets increases by $10$% and that of type-2 decreases by $6$%, the total production remains the same.

2. The ratio in which type- 1 and type- 2 widgets are produced is $2: 1$.

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