Question

A man earns Rs 20 on the first day and spends Rs 15 on the next day. He again earns Rs 20 on the third day and spends Rs 15 on the fourth day. If he continues to save like this, how soon will he have Rs 60 in hand?

• A. On 17^th day
• B. On 27^th day
• C. On 24^th day
• D. On 30^th day

Answer 1

The Correct Option is A

The problem involves calculating the number of days until the man accumulates Rs 60, given his earning and spending pattern. The man earns Rs 20 every odd day and spends Rs 15 every even day. Therefore, every two days, his net savings increase by:

Net gain in 2 days = Rs 20 (earned) - Rs 15 (spent) = Rs 5.

To find out how many days it will take to save Rs 60, we need to determine how many such 2-day cycles are needed:

Savings per 2-day cycle: Rs 5

Required savings: Rs 60

Number of cycles: Rs 60 ÷ Rs 5 = 12 cycles

Since each cycle consists of 2 days, the total number of days required is:

12 cycles × 2 days/cycle = 24 days

However, since he saves exactly Rs 5 every two days and needs Rs 60, we need to check the cumulative savings day by day:

Day 1: Earns Rs 20, Total = Rs 20

Day 2: Spends Rs 15, Total = Rs 5

Day 3: Earns Rs 20, Total = Rs 25

Day 4: Spends Rs 15, Total = Rs 10

Day 5: Earns Rs 20, Total = Rs 30

Day 6: Spends Rs 15, Total = Rs 15

Day 7: Earns Rs 20, Total = Rs 35

Day 8: Spends Rs 15, Total = Rs 20

Day 9: Earns Rs 20, Total = Rs 40

Day 10: Spends Rs 15, Total = Rs 25

Day 11: Earns Rs 20, Total = Rs 45

Day 12: Spends Rs 15, Total = Rs 30

Day 13: Earns Rs 20, Total = Rs 50

Day 14: Spends Rs 15, Total = Rs 35

Day 15: Earns Rs 20, Total = Rs 55

Day 16: Spends Rs 15, Total = Rs 40

Day 17: Earns Rs 20, Total = Rs 60

Thus, he will have Rs 60 in hand on the 17^th day.