# Class 08 - Chapter 13 - Direct and Inverse Proportions (25)

**Q.1. **A car run 20 km in 1 litre of fuel. How much distance will it cover in 3 litres of fuel? How much distance will it cover in 10 litres of fuel.

**Q.2. **A man takes 2 hours to complete a job. How much time will take to complete 10 similar jobs?

**Q.3. Fill in the blanks:**

Weight of flour |
1 kg | 5 kg | 10 kg | 20 kg |

Cost |
Rs. 20.00 | Rs.200.00 |

**Q.4. Fill in the blanks:**

Weight of iron cube |
1 kg | 3 kg | 7 kg | 11 kg | 13 kg |

Volume in cm^{3} |
40 | 280 |

**Q.5. Fill in the blanks:**

Fuel in litres |
10 | 25 | 50 | 100 | |

Distance in km |
100 | 700 |

**Q.6. Raju took a loan of Rs.15,000/- from a bank at the rate of 10% per annum. Fill in the table below:**

Time Period |
1 year |
2 years |
3 years |

Simple Interest |
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Compound Interest |
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Difference |

**Q.7.**** Raju took a loan of Rs.20,000/- from a bank at the rate of 5% per annum. Fill in the table below:**

Time Period |
1 year |
2 years |
3 years |

Simple Interest |
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Compound Interest |
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Difference |

**Q.8. Raju took a loan of Rs.10,000/- from a bank at the rate of 12% per annum. Fill in the table below:**

Time Period |
1 year |
2 years |
3 years |

Simple Interest |
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Compound Interest |
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Difference |

**Q.9. **Cost of one dozen of eggs is Rs.60. Find the cost of 24 eggs, 72 eggs, 15 dozens.

**Q.10.** Ritu went to a market to purchase rope of length 100 feet. The cost of the rope was Rs.9 per yard. Find the amount she paid for the rope.

**Q.11.** The cost of 2 meters of cloth is Rs.20. Find the cost of 10 meters of cloth.

**Q.12.** The weight of 100 sheets of paper is 10 grams. Find the weight of 50000 sheets of paper.

**Q.13.** The scale of a map is given as 1:45000. Two cities are 7 cm apart on the map. Find the actual distance between them in km.

**Q.14.** The scale of a map is given as 1:200000. Two cities are 5 cm apart on the map. Find the actual distance between them in km.

**Q.15.** If a truck travels 40 km in 2 hours. Assuming that the speed of the truck remain the same, find the distance it will travel in 10 hours.

**Q.16.** A building whose height is 50 feet casts a shadow of length 10 feet. Find the height of a tree whose shadow is of length 40 feet.

**Q.17.** The scale of a map if 1:10000. If the actual distance between the two cities is 30 km. Find the distance between the cities on the map.

**Q.18. **If a vehicle covered a distance of 900 km in 10 hours. What was the speed of the vehicle?

**Q.19.** If a man takes 5 days to complete a work. How many days will it take to complete the same work if 5 man do it?

**Q.20. **It takes 2 hours to cover a distance of 100 km, how much time it will take if the speed of the vehicle is doubled? How much time it will have if the speed of the vehicle is reduced to half.

**Q.21.** A car takes 4 hours to reach a destination by travelling at the speed of 40 km/h. How long will it take when the car travels at the speed of 80 km/h.

**Q.22. **In a factory, there are 5 machines and it takes 40 days to prepare a batch of items. How many more machines are required to prepare the same batch of items in 10 days?

**Q.23. Savita travels to her school with different mode of transport on different days. Find the time taken by each mode of transport:**

Speed of the mode of transport | Walk - 5 km/h | Two wheeler - 40 km/h | Car - 60 km/h |

Time taken to reach | 1 h |

**Q.24.** In a game show, the prize money of Rs.50,000 is to be divided equally amongst the winners. Complete the following table:

Number of Winners | 1 | 5 | 10 | 20 | 50 |

Prize for each winner (in Rs.) | 50,000 |

**Q.25. **A farmer has enough food to feed 10 animals in his cattle for 50 days. How long would the food last if there were 10 more animals in his cattle?

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