Ratio and Proportion

ABC26GN2997 · In a business, the ratio of the capitals of A and B is 2 : 1, that of B and C is 4 : 3 and that of D and C is 6 : 5. Then the ratio of the…

ABC26GN2947 · The cost of manufacturing a car is made up of three items : cost of materials, labour and overheads. In a year, the cost of these items…

ABC26GN2998 · If A: B=7: 9 and B: C=5: 4, then A: B: C is

ABC26GN2948 · Cost of a diamond varies directly as the square of its weight. A diamond broke into four pieces with their weights in the ratio 1 : 2 : 3… · 2010

ABC26GN2999 · If A: B=2: 3, B: C=4: 5 and C: D=6: 7, then A: B: C: D is

ABC26GN2949 · In a mixture of three varieties of tea, the ratio of their weights is 4 : 5 : 8. If 5 kg tea of the first variety, 10 kg tea of the second… · 2006

ABC26GN3000 · If A: B=1/2: 1/3 and B: C=1/2: 1/3, then A: B: C is equal to

ABC26GN2950 · A shopkeeper mixes two varieties of tea – one costing ` 75 per kg and the other costing ` 50 per kg in the ratio 3 : 2. If he sells the… · 2008

ABC26GN3001 · If A: B=1/2: 3/8, B: C=1/3: 5/9 and C: D=5/6: 3/4, then the ratio A: B: C: D is

ABC26GN2951 · Initially two cups of same volume are filled with milk upto 3/5 th and 4/5 th of their volumes. Water is then filled. Then two mixtures are…

ABC26GN3002 · For each 200 rupees spent by the research department, sales department spends 20 rupees. For every 400 rupees spent by the sales…

ABC26GN2952 · Three equal jugs are filled with a mixture of milk and water. The proportion of milk and water in each glass is in the ratio 1 : 2, 2 : 3… · 2008

ABC26GN3003 · In a ratio which is equal to 7 : 8, if the antecedent is 35, what is the consequent?

ABC26GN3004 · If 8 a=9 b then the ratio of a/9 to b/8 is · 2009

ABC26GN2954 · Visitors to a show were charged ` 12 each on the first day, ` 9.50 on the second, ` 4 on the third day and the total attendance on three…

ABC26GN3005 · If x: y=3: 4, then (2 x+3 y):(3 y-2 x) would be equal to · 2007

ABC26GN2955 · 7 men, 5 women and 8 children were given an assignment of distributing 2000 books to students in a school over a period of three days. All…

ABC26GN3006 · If a: b=2: 5, then the value of (2 a+3 b):(7 a+ 5b) is

ABC26GN2956 · Ratio of the incomes of A, B and C last year was 3 : 4 : 5. The ratio of their individual incomes of the last year and this year are 4 : 5…

ABC26GN2957 · Two identical vessels A and B contain mixtures of milk and water in the ratios 4 : 5 and 5 : 1 respectively. In what ratio should…

ABC26GN3009 · If 5 a+3 b: 2 a-3 b=23: 5, then the value of a: b is

ABC26GN3016 · If x: y=3: 4 and a: b=1: 2, then the value of (2 x a+y b)/(3 y b-4 x a) is

ABC26GN3017 · If a: b: c=2: 3: 4, then 1/a: 1/b: 1/c is equal to

ABC26GN3018 · If 1/x: 1/y: 1/z=2: 3: 5, then x: y: z is equal to

ABC26GN3021 · If a:(b+c)=1: 3 and c:(a+b)=5: 7, then b: (a+c) is equal to · 2006

ABC26GN3023 · If a: b=3: 4, b: c=4: 7, then (a+b+c)/c is equal to · 2010

ABC26GN3024 · If A: B: C=2: 3: 5 and A=x% of (B+C), then x is equal to · 2007

ABC26GN3025 · x, y, z, u are real numbers such that x: y=y: z =z: u and x: u=64: 27. The value of x: z is

ABC26GN3027 · If a: b=2: 3 and b: c=4: 5, then (a+b):(b+c) is equal to

ABC26GN3028 · If a: b=c: d=e: f=1: 2, then (3 a+5 c+7 e): (3 b+5 d+7 f) is equal to

ABC26GN3032 · If a+b: b+c: c+a=6: 7: 8 and a+b+c=14, then the value of c is

ABC26GN3033 · The fourth proportional to 5, 8, 15 is

ABC26GN3034 · The fourth proportional to 0.12,0.21 and 8 is

ABC26GN3036 · The third proportional to 38 and 15 is

ABC26GN3037 · The mean proportional between 234 and 104 is

ABC26GN3038 · The mean proportional between 0.02 and 0.32 is

ABC26GN3039 · The mean proportional between (3+√(2)) and (12-√(32)) is

ABC26GN3040 · The ratio between the third proportional of 12 and 30 and mean proportional of 9 and 25 is

ABC26GN3042 · Find the two numbers whose mean proportion is 12 and the third proportional is 324. · 2006

ABC26GN3043 · The present ages of A, B and C are in the ratio of 8 : 14 : 22 respectively. The present ages of B, C and D are in the ratio of 21 : 33…

ABC26GN3044 · When 30% of one number is subtracted from another number, the second number reduces to its four-fifths. What is the ratio of the first to… · 2010

ABC26GN3045 · Rita invested 25% more than Sunil. Sunil invested 30% less than Abhinav, who invested ₹ 6000. What is the ratio of the amount that Rita… · 2010

ABC26GN3046 · One-fourth of sixty percent of a number is equal to two-fifths of twenty percent of another number. What is the respective ratio of the… · 2008

ABC26GN3047 · The total number of boys in a school is 16% more than the total number of girls in the school. What is the respective ratio of the total… · 2008

ABC26GN3050 · Five mangoes and four oranges cost as much as three mangoes and seven oranges. What is the ratio of the cost of one mango to the cost of… · 2009

ABC26GN3051 · The ratio of urea and potash in a mixed fertilizer is 7 : 3. Express the quantity of urea present as percentage of the total amount of… · 2008

ABC26GN3053 · The bus fare and train fare of a place from Kolkata were ₹ 20 and ₹ 30 respectively. Train fare has been increased by 20% and the bus fare… · 2007

ABC26GN3055 · In a class the number of girls is 20% more than that of the boys. The strength of the class is 66. If 4 more girls are admitted to the…

ABC26GN3056 · If the income of A is 10% more than that of B and the income of B is 20% less than that of C, then the incomes of A, B and C respectively…

ABC26GN3057 · Two numbers are respectively 20 percent and 50 percent more than a third number. These two numbers are in the ratio