Three automatic toys perform two types of movements: Neck Movements (NM) and Hand Rotations (HR). The details are as follows:

- Toy A: Battery Capacity = 1500 units, Battery Percentage = 80%, NM per minute = 40, HR per minute = 30
- Toy B: Battery Capacity = 2000 units, Battery Percentage = 75%, NM per minute = 30, HR per minute = 20 (which is 50% of Toy A's NM per minute)
- Toy C: Battery Capacity = 120% of Toy B's capacity, Battery Percentage = 60%, NM per minute = 45 (Toy A's NM + 5), HR per minute = 30

What is the percentage by which the total number of Neck Movements per minute of all three toys together exceeds the total number of Hand Rotations per minute of all three toys together?

Question

Three automatic toys perform two types of movements: Neck Movements (NM) and Hand Rotations (HR). The details are as follows:

- Toy A: Battery Capacity = 1500 units, Battery Percentage = 80%, NM per minute = 40, HR per minute = 30
- Toy B: Battery Capacity = 2000 units, Battery Percentage = 75%, NM per minute = 30, HR per minute = 20 (which is 50% of Toy A's NM per minute)
- Toy C: Battery Capacity = 120% of Toy B's capacity, Battery Percentage = 60%, NM per minute = 45 (Toy A's NM + 5), HR per minute = 30

What is the percentage by which the total number of Neck Movements per minute of all three toys together exceeds the total number of Hand Rotations per minute of all three toys together?

Accepted Answer

**Solution:**

1. Calculate the total Neck Movements (NM) per minute for all three toys:
   - Toy A NM = 40
   - Toy B NM = 30
   - Toy C NM = 45

Total NM = 40 + 30 + 45 = 115

2. Calculate the total Hand Rotations (HR) per minute for all three toys:
   - Toy A HR = 30
   - Toy B HR = 20
   - Toy C HR = 30

Total HR = 30 + 20 + 30 = 80

3. Find the percentage by which total NM exceeds total HR:

$$	ext{Percentage} = \frac{	ext{Total NM} - 	ext{Total HR}}{	ext{Total HR}} 	imes 100 = \frac{115 - 80}{80} 	imes 100 = \frac{35}{80} 	imes 100 = 43.75\%$$

**Answer:** 43.75\%

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