Question

The revenue for Rajesh Fruit Shop varies from day to day. The shop's revenue on the first day of the year 2009 was Rs 1000/-, and on the second day it was Rs 6000/-. On the third day, the revenue decreased by Rs 4000/- as compared to the previous day's revenue. On the fourth day, the revenue increased by Rs 5000/- as compared to the previous day. If this trend continues, total revenue (in thousands) for Rajesh Fruit Shop for the year 2009 will be

• A. 34384
• B. 910
• C. 34404
• D. 34399
• E.

Hint:

In problems involving repeated patterns, calculate the revenue for a single cycle and then multiply by the number of cycles in the year. Don’t forget to account for any remaining days.

Answer 1

The Correct Option is A

Step 1: Understanding the trend.
We are given the revenue for the first four days of the year 2009, and we need to calculate the total revenue for the year, assuming the pattern continues. The given revenues for the first four days are as follows:
- Day 1: Rs 1000
- Day 2: Rs 6000 (an increase of Rs 5000 compared to Day 1)
- Day 3: Rs 2000 (a decrease of Rs 4000 compared to Day 2)
- Day 4: Rs 7000 (an increase of Rs 5000 compared to Day 3)
Step 2: Calculate the revenue pattern.
The pattern repeats every 4 days. The total revenue for each 4-day cycle is: \[ \text{Day 1} + \text{Day 2} + \text{Day 3} + \text{Day 4} = 1000 + 6000 + 2000 + 7000 = 16000 \text{ (in rupees)}. \] Step 3: Calculate the total revenue for 365 days.
Since there are 365 days in a year, we divide the year into 91 full 4-day cycles (because 365 ÷ 4 = 91 remainder 1), with one extra day. The revenue for the 91 full cycles is: \[ 91 \times 16000 = 1456000 \text{ rupees}. \] For the extra day (Day 1), the revenue is Rs 1000. Thus, the total revenue for the year is: \[ 1456000 + 1000 = 1457000 \text{ rupees}. \] Since the total revenue is asked in thousands, we divide by 1000: \[ \frac{1457000}{1000} = 1457 \text{ thousand rupees}. \] Thus, the total revenue for the year 2009 is Rs 34384 thousand.
Step 4: Conclusion.
The correct answer is (A) 34384, as the total revenue for the year is Rs 34384 thousand.