41. Let $$\frac{{\text{a}}}{{\text{b}}}: - \frac{{\text{b}}}{{\text{a}}} = {\text{x}}:{\text{y}}{\text{.}}$$ If $$\left( {{\text{x - y}}} \right) = $$ $$\left\{ {\frac{{\text{a}}}{{\text{b}}}{\text{ + }}\frac{{\text{b}}}{{\text{a}}}} \right\}{\text{,}}$$ then x is equal to -
42. If $$\frac{{{\text{a}} + {\text{b}}}}{{\text{c}}} = \frac{{{\text{b}} + {\text{c}}}}{{\text{a}}} = \frac{{{\text{c}} + {\text{a}}}}{{\text{b}}} = {\text{k}},$$ then k is equal to -
43. If x : y = 3 : 4, then the value of (4x - y) : (2x + 3y) is = ?
44. Three numbers are in the ratio 3 : 4 : 5. The sum of the largest and the smallest equals to the sum of the second number and 52. The smallest number is = ?
45. A container contains two liquids A and B in the ratio 7 : 5. When 9 litres of mixture are drawn off and the container is filled with B, the ratio of A and B becomes 1 : 1. How many litres of liquid A was in the container initially = ?
46. If a : b = 2 : 3 and b : c = 4 : 5, then (a + b) : (b + c) is equal to-
47. The fourth proportion to 5, 8, 15 is-
48. The fourth proportional to 0.12, 0.21 and 8 is-
49. In a mixture of 25 litres the ratio of acid to water is 4 : 1. Another 3 litres of water of water is added to the mixture. The ratio of acid to water in the new mixture is = ?
50. The ratio of weekly income of A and B is 9 : 7 and the the ratio of their expenditure is 4 : 3. If each saves Rs. 200 per week, then the sum of their weekly income is = ?
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