Step 1: Identifying the production values.
Let the production of Ludo in 1992 be \( P_{1992} \) and in 1994 be \( P_{1994} \).
Step 2: Percentage decrease formula.
\[ {Percentage Decrease} = \frac{P_{1992} - P_{1994}}{P_{1992}} \times 100 \]
Step 3: Substituting values and calculating.
Using the given values, we get: \[ {Percentage Decrease} = \frac{X - Y}{X} \times 100 \] Computing the values, we find that the drop is 10%. Thus, the correct answer is (D) \( 10 \).
Based upon the results of regular medical check-ups in a hospital, it was found that out of 1000 people, 700 were very healthy, 200 maintained average health and 100 had a poor health record.
Let \( A_1 \): People with good health,
\( A_2 \): People with average health,
and \( A_3 \): People with poor health.
During a pandemic, the data expressed that the chances of people contracting the disease from category \( A_1, A_2 \) and \( A_3 \) are 25%, 35% and 50%, respectively.
Based upon the above information, answer the following questions:
(i) A person was tested randomly. What is the probability that he/she has contracted the disease?}
(ii) Given that the person has not contracted the disease, what is the probability that the person is from category \( A_2 \)?