https://file.aiquickdraw.com/mathbot/file/1727014858663b0s9ccoq.jpg

Let's solve the two problems provided in the image.

### Question 19:
Ranjith has enough money to buy 75 machines worth Rs. 200 each. How many machines can he buy if he gets a discount of Rs. 50 on each machine?

**Solution:**
- The cost of one machine without a discount is Rs. 200.
- The total amount of money Ranjith has is \( 75 \times 200 = 15,000 \) Rs.
- If he gets a Rs. 50 discount on each machine, the new price per machine is \( 200 - 50 = 150 \) Rs.
- Now, the number of machines he can buy with Rs. 15,000 at the new price is:
  \[
  \text{Number of machines} = \frac{15,000}{150} = 100
  \]
  
So, Ranjith can buy **100 machines** with the discount.

---

### Question 20:
A worker is paid Rs. 420 for 2 days' work. If his total income of the month is Rs. 1890, for how many days did he work?

**Solution:**
- The worker's daily wage can be found by dividing Rs. 420 by 2:
  \[
  \text{Daily wage} = \frac{420}{2} = 210 \text{ Rs/day}
  \]
- Now, if his total income for the month is Rs. 1890, the number of days he worked is:
  \[
  \text{Number of days} = \frac{1890}{210} = 9 \text{ days}
  \]

So, the worker worked for **9 days**.

---

Would you like further details or explanations on these solutions?

Here are 5 related questions to think about:
1. If the price per machine were Rs. 250 and Ranjith got the same discount, how many machines could he buy?
2. What would be Ranjith's total savings with the Rs. 50 discount on all 100 machines?
3. If the worker's wage increased by 10%, how many days would he need to work to earn Rs. 1890?
4. How much money would the worker earn if he worked for 12 days at the same daily wage?
5. If Ranjith wanted to buy 120 machines with the discount, how much more money would he need?

**Tip:** Always check if the total money available remains the same when discounts or deductions are applied, as it can help solve problems faster!

19. Ranjith has enough money to buy 75 machines worth Rs. 200 each. How many machines can he buy if he gets a discount of Rs. 50 on each machine? 20. A worker is paid Rs. 420 for 2 days work. If his total income of the month is Rs. 1890, for how many days did he work?

Learn how to calculate the number of machines Ranjith can buy after a discount and how many days a worker worked based on his monthly income. These problems involve discount calculations, daily wage determination, and simple proportion-based solutions. Suitable for students in Grades 6-8.

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