13. Direct and Inverse Proportions Class 8 MATHEMATICS Solutions English Medium-Exercise 13.1
13. Direct and Inverse Proportions Class 8 MATHEMATICS Solutions English Medium-Exercise 13.1 Get chapter-wise detailed explanations, step-by-step answers, important questions and exam-ready study material in Hindi and English medium.
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13. Direct and Inverse Proportions Class 8 MATHEMATICS Solutions English Medium-Exercise 13.1
NCERT Solutions for Class 8 are specially prepared according to the latest CBSE syllabus (2026-27) to help students understand every concept clearly. These solutions provide step-by-step explanations, accurate answers, and exam-oriented guidance for all chapters. Class 8 students can improve their problem-solving skills, strengthen conceptual understanding, and prepare confidently for school as well as board examinations. All questions are solved in a simple and easy-to-understand language for both Hindi and English medium learners.
13. Direct and Inverse Proportions Class 8 MATHEMATICS Solutions English Medium-Exercise 13.1
NCERT Solutions Class 8 MATHEMATICS English Medium
13. Direct and Inverse Proportions
Topic: Exercise 13.1
Exercise 13.1
Q1. Following are the car parking charges near a railway station upto
4 hours Rs 60
8 hours Rs 100
12 hours Rs 140
24 hours Rs 180
Check if the parking charges are in direct proportion to the parking time.
Solution :


Q2. A mixture of paint is prepared by mixing 1 part of red pigments with 8 parts of base. In the following table, find the parts of base that need to be added.


Q3. In Question 2 above, if 1 part of a red pigment requires 75 mL of base, how much red pigment should we mix with 1800 mL of base?
Solution:

Q4. A machine in a soft drink factory fills 840 bottles in six hours. How many bottles will it fill in five hours?
Solution:

Q5. A photograph of a bacteria enlarged 50,000 times attains a length of 5 cm as shown in the diagram. What is the actual length of the bacteria? If the photograph is enlarged 20,000 times only, what would be its enlarged length?

Q6. In a model of a ship, the mast is 9 cm high, while the mast of the actual ship is 12 m high. If the length of the ship is 28 m, how long is the model ship?

Therefore the length of model ship is 21 cm.
Q7. Suppose 2 kg of sugar contains 9 × 106 crystals.
How many sugar crystals are there in
(i) 5 kg of sugar?
(ii) 1.2 kg of sugar?
Solution:


Q8. Rashmi has a road map with a scale of 1 cm representing 18 km. She drives on a road for 72 km. What would be her distance covered in the map?

Q9. A 5 m 60 cm high vertical pole casts a shadow 3 m 20 cm long. Find at the same time
(i) The length of the shadow cast by another pole 10 m 50 cm high
(ii) The height of a pole which casts a shadow 5m long.
Solution:


Q10. A loaded truck travels 14 km in 25 minutes. If the speed remains the same, how far can it travel in 5 hours?
Solution:

All Topics From 13. Direct and Inverse Proportions
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