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### Q24. Aslam's Walking Distance
To determine the distance Aslam can cover in 3% of an hour considering he can walk 5% of a kilometer in one hour, follow these steps:
1. Step 1: Express Aslam's walking rate in terms of kilometers per hour.
- Aslam’s walking rate is 5% km per hour.
- Converting 5% to a decimal: [tex]\( \frac{5}{100} = 0.05 \)[/tex] km per hour.
2. Step 2: Express the time Aslam spends walking in hours.
- Aslam walks for 3% of an hour.
- Converting 3% to a decimal: [tex]\( \frac{3}{100} = 0.03 \)[/tex] hours.
3. Step 3: Calculate the distance walked by multiplying the walking rate by the time spent walking.
- Distance covered = Walking rate × Time
- Distance covered = [tex]\( 0.05 \)[/tex] km/hour × [tex]\( 0.03 \)[/tex] hours
4. Step 4: Perform the multiplication.
- Distance covered = 0.0015 km
So, Aslam will cover 0.0015 kilometers in 3% of an hour.
### Q25. Raman's Monthly Expenses and Remaining Money
Raman's monthly salary is Rs. 24000. He spends portions of his salary on various expenses. Let's calculate the specific amounts.
1. Step 1: Calculate the amount spent on food.
- Raman spends 1/4 of his salary on food.
- Spending on food = [tex]\( \frac{1}{4} \)[/tex] × Rs. 24000
- Spending on food = Rs. 6000
2. Step 2: Calculate the remaining salary after food expenses.
- Remaining salary after food = Total salary - Spending on food
- Remaining salary after food = Rs. 24000 - Rs. 6000
- Remaining salary after food = Rs. 18000
3. Step 3: Calculate the amount spent on rent from the remaining salary.
- Raman spends 1/5 of the remaining salary on rent.
- Spending on rent = [tex]\( \frac{1}{5} \)[/tex] × Rs. 18000
- Spending on rent = Rs. 3600
4. Step 4: Calculate the remaining salary after rent expenses.
- Remaining salary after rent = Remaining salary after food - Spending on rent
- Remaining salary after rent = Rs. 18000 - Rs. 3600
- Remaining salary after rent = Rs. 14400
5. Step 5: Calculate the amount spent on education from the remaining salary.
- Raman spends 1/6 of the remaining salary on the education of children.
- Spending on education = [tex]\( \frac{1}{6} \)[/tex] × Rs. 14400
- Spending on education = Rs. 2400
6. Step 6: Calculate the remaining salary after education expenses.
- Remaining salary after education = Remaining salary after rent - Spending on education
- Remaining salary after education = Rs. 14400 - Rs. 2400
- Remaining salary after education = Rs. 12000
Summary of Calculations:
- i) Amount spent on each part:
- Food: Rs. 6000
- Rent: Rs. 3600
- Education: Rs. 2400
- ii) Amount of money still left:
- Remaining money = Rs. 12000
Thus, Raman has Rs. 12000 left after all the expenses.
To determine the distance Aslam can cover in 3% of an hour considering he can walk 5% of a kilometer in one hour, follow these steps:
1. Step 1: Express Aslam's walking rate in terms of kilometers per hour.
- Aslam’s walking rate is 5% km per hour.
- Converting 5% to a decimal: [tex]\( \frac{5}{100} = 0.05 \)[/tex] km per hour.
2. Step 2: Express the time Aslam spends walking in hours.
- Aslam walks for 3% of an hour.
- Converting 3% to a decimal: [tex]\( \frac{3}{100} = 0.03 \)[/tex] hours.
3. Step 3: Calculate the distance walked by multiplying the walking rate by the time spent walking.
- Distance covered = Walking rate × Time
- Distance covered = [tex]\( 0.05 \)[/tex] km/hour × [tex]\( 0.03 \)[/tex] hours
4. Step 4: Perform the multiplication.
- Distance covered = 0.0015 km
So, Aslam will cover 0.0015 kilometers in 3% of an hour.
### Q25. Raman's Monthly Expenses and Remaining Money
Raman's monthly salary is Rs. 24000. He spends portions of his salary on various expenses. Let's calculate the specific amounts.
1. Step 1: Calculate the amount spent on food.
- Raman spends 1/4 of his salary on food.
- Spending on food = [tex]\( \frac{1}{4} \)[/tex] × Rs. 24000
- Spending on food = Rs. 6000
2. Step 2: Calculate the remaining salary after food expenses.
- Remaining salary after food = Total salary - Spending on food
- Remaining salary after food = Rs. 24000 - Rs. 6000
- Remaining salary after food = Rs. 18000
3. Step 3: Calculate the amount spent on rent from the remaining salary.
- Raman spends 1/5 of the remaining salary on rent.
- Spending on rent = [tex]\( \frac{1}{5} \)[/tex] × Rs. 18000
- Spending on rent = Rs. 3600
4. Step 4: Calculate the remaining salary after rent expenses.
- Remaining salary after rent = Remaining salary after food - Spending on rent
- Remaining salary after rent = Rs. 18000 - Rs. 3600
- Remaining salary after rent = Rs. 14400
5. Step 5: Calculate the amount spent on education from the remaining salary.
- Raman spends 1/6 of the remaining salary on the education of children.
- Spending on education = [tex]\( \frac{1}{6} \)[/tex] × Rs. 14400
- Spending on education = Rs. 2400
6. Step 6: Calculate the remaining salary after education expenses.
- Remaining salary after education = Remaining salary after rent - Spending on education
- Remaining salary after education = Rs. 14400 - Rs. 2400
- Remaining salary after education = Rs. 12000
Summary of Calculations:
- i) Amount spent on each part:
- Food: Rs. 6000
- Rent: Rs. 3600
- Education: Rs. 2400
- ii) Amount of money still left:
- Remaining money = Rs. 12000
Thus, Raman has Rs. 12000 left after all the expenses.
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