What percentage is
1. ₹15 of ₹120
2. 36 minutes of 2 hours?
3. 8 hours of 2 days?
4. 160 meters of 4km?
5. 175 ml of 1 liter?
6. 25 paise of ₹ 4?

Answer

Let's solve the given questions step by step using the percentage formula, which is:

\[ \text{Percentage} = \left( \frac{\text{Part}}{\text{Whole}} \right) \times 100 \]

### 1. What percentage is ₹15 of ₹120?

**Step 1:** Identify the part and the whole.
- Part = ₹15
- Whole = ₹120

**Step 2:** Apply the percentage formula.
\[ \text{Percentage} = \left( \frac{15}{120} \right) \times 100 \]

**Step 3:** Simplify the fraction.
\[ \frac{15}{120} = \frac{1}{8} \]

**Step 4:** Calculate the percentage.
\[ \text{Percentage} = \left( \frac{1}{8} \right) \times 100 = 12.5\% \]

### 2. What percentage is 36 minutes of 2 hours?

**Step 1:** Convert 2 hours into minutes.
- 2 hours = 2 × 60 = 120 minutes

**Step 2:** Identify the part and the whole.
- Part = 36 minutes
- Whole = 120 minutes

**Step 3:** Apply the percentage formula.
\[ \text{Percentage} = \left( \frac{36}{120} \right) \times 100 \]

**Step 4:** Simplify the fraction.
\[ \frac{36}{120} = \frac{3}{10} \]

**Step 5:** Calculate the percentage.
\[ \text{Percentage} = \left( \frac{3}{10} \right) \times 100 = 30\% \]

### 3. What percentage is 8 hours of 2 days?

**Step 1:** Convert 2 days into hours.
- 2 days = 2 × 24 = 48 hours

**Step 2:** Identify the part and the whole.
- Part = 8 hours
- Whole = 48 hours

**Step 3:** Apply the percentage formula.
\[ \text{Percentage} = \left( \frac{8}{48} \right) \times 100 \]

**Step 4:** Simplify the fraction.
\[ \frac{8}{48} = \frac{1}{6} \]

**Step 5:** Calculate the percentage.
\[ \text{Percentage} = \left( \frac{1}{6} \right) \times 100 \approx 16.67\% \]

### 4. What percentage is 160 meters of 4 kilometers?

**Step 1:** Convert 4 kilometers into meters.
- 4 kilometers = 4 × 1000 = 4000 meters

**Step 2:** Identify the part and the whole.
- Part = 160 meters
- Whole = 4000 meters

**Step 3:** Apply the percentage formula.
\[ \text{Percentage} = \left( \frac{160}{4000} \right) \times 100 \]

**Step 4:** Simplify the fraction.
\[ \frac{160}{4000} = \frac{1}{25} \]

**Step 5:** Calculate the percentage.
\[ \text{Percentage} = \left( \frac{1}{25} \right) \times 100 = 4\% \]

### 5. What percentage is 175 ml of 1 liter?

**Step 1:** Convert 1 liter into milliliters.
- 1 liter = 1000 ml

**Step 2:** Identify the part and the whole.
- Part = 175 ml
- Whole = 1000 ml

**Step 3:** Apply the percentage formula.
\[ \text{Percentage} = \left( \frac{175}{1000} \right) \times 100 \]

**Step 4:** Simplify the fraction.
\[ \frac{175}{1000} = \frac{7}{40} \]

**Step 5:** Calculate the percentage.
\[ \text{Percentage} = \left( \frac{7}{40} \right) \times 100 = 17.5\% \]

### 6. What percentage is 25 paise of ₹4?

**Step 1:** Convert ₹4 into paise.
- ₹4 = 4 × 100 = 400 paise

**Step 2:** Identify the part and the whole.
- Part = 25 paise
- Whole = 400 paise

**Step 3:** Apply the percentage formula.
\[ \text{Percentage} = \left( \frac{25}{400} \right) \times 100 \]

**Step 4:** Simplify the fraction.
\[ \frac{25}{400} = \frac{1}{16} \]

**Step 5:** Calculate the percentage.
\[ \text{Percentage} = \left( \frac{1}{16} \right) \times 100 = 6.25\% \]

### Summary of Answers:
1. ₹15 of ₹120 = 12.5%
2. 36 minutes of 2 hours = 30%
3. 8 hours of 2 days = 16.67%
4. 160 meters of 4 km = 4%
5. 175 ml of 1 liter = 17.5%
6. 25 paise of ₹4 = 6.25%