Rakesh, remained absent from work for 20 days in the month of April and earned Rs. 4000. How many days should he have remained absent in order to earn 20% more if he earns daily wages?

Let's solve the problem step-by-step.

### Given:
- Rakesh was absent for 20 days in April.
- He earned Rs. 4000.
- He wants to earn 20% more, so the new earning target is \( 4000 \times 1.2 = 4800 \) Rs.
- Rakesh earns daily wages.

### To Find:
- The number of days he should remain absent to earn 20% more (i.e., Rs. 4800).

### Step-by-Step Solution:

1. **Calculate the total number of days in April:**

   April has 30 days.

2. **Determine the number of days Rakesh worked in April:**

   Let \( D \) be the number of days Rakesh worked.
   
   Since Rakesh was absent for 20 days, the number of days he worked is:

   \[
   D = 30 - 20 = 10 \text{ days}
   \]

3. **Find the daily wage:**

   Let \( W \) be Rakesh's daily wage. Since he earned Rs. 4000 for 10 days of work:

   \[
   10W = 4000 \implies W = \frac{4000}{10} = 400 \text{ Rs. per day}
   \]

4. **Determine the new earning target:**

   To earn 20% more, Rakesh's new target is Rs. 4800.

5. **Find the number of days required to earn Rs. 4800:**

   Let \( D' \) be the new number of days he must work to earn Rs. 4800:

   \[
   D' \times W = 4800 \implies D' \times 400 = 4800 \implies D' = \frac{4800}{400} = 12 \text{ days}
   \]

6. **Determine the number of days he should remain absent:**

   Since April has 30 days, and Rakesh needs to work for 12 days:

   \[
   \text{Number of days he should remain absent} = 30 - 12 = 18 \text{ days}
   \]

### Answer:
Rakesh should remain absent for **18 days** in order to earn 20% more, assuming he earns daily wages.

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### Related Questions:
1. How would the calculation change if April had 31 days instead?
2. What if Rakesh was paid a monthly salary instead of daily wages?
3. How many days should he remain absent to earn double his previous salary?
4. If his daily wage rate changes to Rs. 500, how many days should he remain absent to achieve the same target?
5. What would be his earnings if he worked every day in April?

### Tip:
To calculate percentage increases effectively, always multiply by \(1 + \text{percentage increase in decimal form}\). For example, a 20% increase is multiplied by 1.2.

Learn how to calculate the number of days Rakesh should remain absent from work to earn 20% more, given his daily wages and earnings in April. Follow a step-by-step solution involving basic arithmetic and percentage increase calculations. Suitable for Grades 7-9.

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