Ratio and Proportion
1. Find the ratio of 125cm to 3m and reduce it to the lowest term.
2. Find the Person A and B had invested in a business in the ration 3:5. If person B has invested Rs. 25,000, then how much did person B invest?
3. Find the value of x in 3:7 = 21: x.
4. Distribute 100 pens among x and y in the ratio 3:7.
5. Two numbers are in the ratio 4:5. If 3 is subtracted from both, the ratio is found to be 5:7. Find the numbers.
6. Calculate the actual distance between the two places if the distance between two places in the map is 5cm. Given that a map is drawn to the scale 1:25000.
7. The ratio of the monthly expenditure of person P, Q and R is 3:4:5. If the yearly expenditure of them is Rs 43,20,000. Find each monthly expenditure.
8. In a particular year, X earns double that of Y and Z earns triple of X. How much did each earn if the total earning is Rs. 27,00,00,000.
9. Q spent double of P and R spent double of Q. How much each individual spend if they together spent Rs. 91000.
10. The ratio of present age of R and S is 4:5. If the ratio of their ages was 3:4 three years ago. Find their present ages.
11. Find the numbers if their ratio is 3:7 and their sum is 210.
12. The ratio of the gravity of Earth to Moon is 6:1. Find the weight of an object on moon whose weight on Earth is 270N.
13. Student named A obtained x, 75, 30 and 25 marks in Nepali, English, Mathematics and Science respectively which is in proportion. Find the marks obtained in Nepali.
Answers:
1. 5:12
2. Rs. 15,000
3. 49
4. 30 and 70
5. 8 and 10
6. 1,250m
7. P = Rs. 90,000, Q = Rs. 1,20,000 and R = Rs. 1,50,000
8. X = Rs. 6,00,000, Y = Rs. 3,00,000 and Z = Rs. 1,80,000
9. P = Rs. 13,000, Q = Rs. 26,000 and R = Rs. 52,000
10. R = 12 years and S = 15 years
11. 63 and 147
12. 45N
13. 90
