To solve this problem, we need to calculate the percentage reduction in consumption of rice.

Let's assume the initial consumption of rice by the family was x kg.

The initial expenditure on rice was (x kg * Rs. 32 per kg) = Rs. 32x.

Now, the current price of rice is Rs. 40 per kg. So, the new expenditure on rice would be (x kg * Rs. 40 per kg) = Rs. 40x.

To keep the expenditure fixed, the new expenditure should be equal to the initial expenditure.

Therefore, we have the equation:

Rs. 40x = Rs. 32x

Simplifying the equation, we get:

8x = 0

This means that the family should reduce its consumption of rice by 8x kg.

To find the percentage reduction, we can calculate:

Percentage reduction = (reduction in consumption / initial consumption) * 100

Percentage reduction = (8x / x) * 100 = 800%

Therefore, the family should reduce its consumption by 800%.

Now, let's go through the options:

Option A) 25 - This option is incorrect because the percentage reduction is 800%, not 25%. Option B) 20 - This option is correct because the percentage reduction is 800%, not 20%. Option C) 40 - This option is incorrect because the percentage reduction is 800%, not 40%. Option D) 30 - This option is incorrect because the percentage reduction is 800%, not 30%.

The correct answer is B) 20. This option is correct because the percentage reduction in consumption is 800%, which is equivalent to a 20% reduction.

I hope this explanation helps! Let me know if you have any further questions.

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• Wrong explanation

To solve this problem, let's assume the distance covered by the man to reach the station is "d" kilometers.

We are given two scenarios:

1. When the man walks at 5 km/hr, he misses the train by 7 minutes.
2. When the man walks at 6 km/hr, he reaches the station 5 minutes before the arrival of the train.

Let's calculate the time taken in each scenario:

1. When the man walks at 5 km/hr: Time taken = Distance / Speed = d / 5 km/hr

In this scenario, the man misses the train by 7 minutes, which is equivalent to 7/60 hours. So, the time taken to reach the station is d / 5 km/hr + 7/60 hours.

1. When the man walks at 6 km/hr: Time taken = Distance / Speed = d / 6 km/hr

In this scenario, the man reaches the station 5 minutes before the arrival of the train, which is equivalent to 5/60 hours. So, the time taken to reach the station is d / 6 km/hr - 5/60 hours.

Now, let's set up the equation using the above information:

d / 5 km/hr + 7/60 hours = d / 6 km/hr - 5/60 hours

To simplify the equation, let's convert all the hours to minutes:

d / (5 * 60) + 7 = d / (6 * 60) - 5

Now, let's solve this equation to find the value of "d":

d / 300 + 7 = d / 360 - 5 d / 300 - d / 360 = -5 - 7 (6d - 5d) / (300 * 360) = -12 d / (300 * 360) = -12 d = -12 * (300 * 360)

Since distance cannot be negative, this equation does not have a valid solution.

Therefore, there is an error in the question or provided information, as it is not possible to solve for the distance covered by the man to reach the station.

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• Wrong explanation