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### Q24. Aslam can walk 5% km in one hour. How much distance will he cover in 3 hours?
- Aslam's walking speed is 5 km per hour.
- To find the distance covered in 3 hours:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 5\, \text{km/hr} \times 3\, \text{hours} = 15\, \text{km} \][/tex]
- Therefore, Aslam will cover 15 km in 3 hours.
### Q25. Raman's monthly salary is Rs 24000. He spends 1/4 of his salary on food and out of the remaining, he spends 1/5 on rent and 1/6 on the education of children. Find:
i) How much does he spend on each part?
ii) How much money is still left with him?
1. Expenditure on Food:
[tex]\[ \text{Food Expenditure} = \frac{1}{4} \times 24000 = 6000\, \text{Rs} \][/tex]
2. Remaining Salary after Food:
[tex]\[ 24000\, \text{Rs} - 6000\, \text{Rs} = 18000\, \text{Rs} \][/tex]
3. Expenditure on Rent:
[tex]\[ \text{Rent Expenditure} = \frac{1}{5} \times 18000 = 3600\, \text{Rs} \][/tex]
4. Remaining Salary after Rent:
[tex]\[ 18000\, \text{Rs} - 3600\, \text{Rs} = 14400\, \text{Rs} \][/tex]
5. Expenditure on Education:
[tex]\[ \text{Education Expenditure} = \frac{1}{6} \times 14400 = 2400\, \text{Rs} \][/tex]
6. Money Left:
[tex]\[ 14400\, \text{Rs} - 2400\, \text{Rs} = 12000\, \text{Rs} \][/tex]
- Summary of Expenditures:
- Food: Rs 6000
- Rent: Rs 3600
- Education: Rs 2400
- Money left with Raman:
- Rs 12000
### Q26. The ribbon is 42 metres long. How many pieces each of length 1% metres can be cut from it?
- The length of each piece is 1.5 meters (since 1% is understood as 1.5 in this context).
- To find the number of pieces:
[tex]\[ \text{Number of Pieces} = \frac{42\, \text{meters}}{1.5\, \text{meters/piece}} = 28\, \text{pieces} \][/tex]
- Therefore, 28 pieces of 1.5 meters each can be cut from a 42-meter ribbon.
### Q27. By what number should 4% be multiplied to get 87%?
- To find the multiplier:
[tex]\[ \text{Multiplier} = \frac{87\%}{4\%} = \frac{87}{4} = 21.75 \][/tex]
- Therefore, 4% should be multiplied by 21.75 to get 87%.
### Q28. Mohan packed 17.5 kg sugar in a number of bags. He put 2.5 kg sugar in each bag. How many bags of sugar did he pack?
- To find the number of bags:
[tex]\[ \text{Number of Bags} = \frac{17.5\, \text{kg}}{2.5\, \text{kg/bag}} = 7\, \text{bags} \][/tex]
- Therefore, Mohan packed 7 bags of sugar.
### Q24. Aslam can walk 5% km in one hour. How much distance will he cover in 3 hours?
- Aslam's walking speed is 5 km per hour.
- To find the distance covered in 3 hours:
[tex]\[ \text{Distance} = \text{Speed} \times \text{Time} = 5\, \text{km/hr} \times 3\, \text{hours} = 15\, \text{km} \][/tex]
- Therefore, Aslam will cover 15 km in 3 hours.
### Q25. Raman's monthly salary is Rs 24000. He spends 1/4 of his salary on food and out of the remaining, he spends 1/5 on rent and 1/6 on the education of children. Find:
i) How much does he spend on each part?
ii) How much money is still left with him?
1. Expenditure on Food:
[tex]\[ \text{Food Expenditure} = \frac{1}{4} \times 24000 = 6000\, \text{Rs} \][/tex]
2. Remaining Salary after Food:
[tex]\[ 24000\, \text{Rs} - 6000\, \text{Rs} = 18000\, \text{Rs} \][/tex]
3. Expenditure on Rent:
[tex]\[ \text{Rent Expenditure} = \frac{1}{5} \times 18000 = 3600\, \text{Rs} \][/tex]
4. Remaining Salary after Rent:
[tex]\[ 18000\, \text{Rs} - 3600\, \text{Rs} = 14400\, \text{Rs} \][/tex]
5. Expenditure on Education:
[tex]\[ \text{Education Expenditure} = \frac{1}{6} \times 14400 = 2400\, \text{Rs} \][/tex]
6. Money Left:
[tex]\[ 14400\, \text{Rs} - 2400\, \text{Rs} = 12000\, \text{Rs} \][/tex]
- Summary of Expenditures:
- Food: Rs 6000
- Rent: Rs 3600
- Education: Rs 2400
- Money left with Raman:
- Rs 12000
### Q26. The ribbon is 42 metres long. How many pieces each of length 1% metres can be cut from it?
- The length of each piece is 1.5 meters (since 1% is understood as 1.5 in this context).
- To find the number of pieces:
[tex]\[ \text{Number of Pieces} = \frac{42\, \text{meters}}{1.5\, \text{meters/piece}} = 28\, \text{pieces} \][/tex]
- Therefore, 28 pieces of 1.5 meters each can be cut from a 42-meter ribbon.
### Q27. By what number should 4% be multiplied to get 87%?
- To find the multiplier:
[tex]\[ \text{Multiplier} = \frac{87\%}{4\%} = \frac{87}{4} = 21.75 \][/tex]
- Therefore, 4% should be multiplied by 21.75 to get 87%.
### Q28. Mohan packed 17.5 kg sugar in a number of bags. He put 2.5 kg sugar in each bag. How many bags of sugar did he pack?
- To find the number of bags:
[tex]\[ \text{Number of Bags} = \frac{17.5\, \text{kg}}{2.5\, \text{kg/bag}} = 7\, \text{bags} \][/tex]
- Therefore, Mohan packed 7 bags of sugar.
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