Important Theory / Shots Trick on Ratio
Section 1
Section 2
Section 3
Section 4
31. Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years is -
32. The sum of the salaries of A and B is Rs. 2100. A spends 80% of his salary and B spends 70% of his salary. If their savings are in the proportion of 4 : 3, then what is the salary of A?
33. Two alloys contain tin and iron in the ratio of 1 : 2 and 2 : 3. If the two alloys are mixed in the proportion of 3 : 4 respectively (by weight), the ratio of tin and iron in the newly formed alloy is = ?
34. If two number are in the ratio 2 : 3 and the ratio becomes 3 : 4 when 8 is added to both the numbers, then the sum of the two numbers is = ?
35. If $$\frac{x}{y} = \frac{3}{4}{\text{,}}$$ the ratio of (2x + 3y) and (3y - 2x) is = ?
36. The ratio of incomes of two persons is 5 : 3 and that of their expenditures is 9 : 5. If they save Rs. 2600 and Rs.1800 respectively, their incomes are.
37. In a college the students in Arts and commerce faculties were in the ratio of 4 : 5 respectively. When 65 more students joined commerce faculty the ratio becomes 8 : 11 respectively. How many students are there in Arts faculty?
38. Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is -
39. Incomes of x and y are in the ratio 4 : 3. Their expenditure are in the ratio 12 : 7. Both save Rs. 3200 at the end of the month, then the income of x is = ?
40. If (x3 - y3) : (x2 + xy + y2) = 5 : 1 and (x2 - y2) : (x - y) = 7 : 1, then the ratio 2x : 3y equals = ?
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