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AL/RATIO & PROPORTIONS 001
 

1.       If a : b = 5 : 9 and b : c = 4 : 7. Find a : b : c
2.       If a : b = 2 : 3 , b : c = 4 : 5 and c : d = 6 : 7, then a : d is
                    I.            Find a :  b : c : d
3.       The number to added to each of the numbers 7,16,43,79 to make the number in proportion is
4.       If A : B : C =  2: 3: 4 then  is equal to
5.       If A : B =  , B : C =  and C : D =  then ratio A : B : C : D is
6.       2A = 3B = 4C then A : B : C is
7.       If 2A = 3B and 4B = 5C then A : C is
8.       The ratio of 43.5 : 25 is same as
9.       If 0.75 : x :: 5 : 8, then x is equal to
10.   If  then the value of x is
11.   x : y = 5 : 2 then (8x + 9y ) : (8x + 2y) is
12.   If 15% of x = 20% of y, then x:y is
13.   (4x2 – 3y2) : (2x2 + 5y2) = 12 : 19 then x : y is
14.   If ( a+ b) : ( b + c) : ( c + a) = 6 : 7 8 and a + b + c = 14, then the value of c is
15.   Find
a)       The fourth proportional to 4,9,12
b)      The third proportional to 16 & 36
c)       Mean proportion between 0.08 & 0.18
d)      The third proportional to (x2 – y2) and (x-y) is
16.    Divide 672 in the ratio 5 : 3
17.   A bag contain 50p, 25p and 10p coins in the ratio 5 : 9 : 4 amounting to Rs.206. Find the number of coins of each type
18.   A mixture contains alcohol and water in the ratio 4 : 3. If 5 litres of water is added to the mixture, the ration becomes 4: 5. Find the quality of alcohol in the given mixture
19.   The salaries of A, B , C are in the ratio 2 : 3 : 5. If the increment of 15%, 10% and 20% are allowed respectively in their salaries, then what will be the new ratio of their salaries
20.   If Rs.782 be divided into three parts, proportional to then the first part is
21.   Two numbers are in the ratio 3 : 5 . If 9 is subtracted from each the new numbers are in the ratio 12 : 23. The smallest number is
22.   Two numbers are in the ratio 1 : 2 if 7 is added to both, their ratio changes to 3 : 5 the greatest number is
23.   Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is
24.   The sides of a triangle are in the ratio  and it’s perimeter is 104cm. The length of the longest side is
25.   The ratio of the number of boys and girls in a school is 3: 2 if 20% of the boys and 25% of the girls are scholarship holders. What % of the students does not get the scholarship
26.   Some apples are to be distributed among some boys. If eight more apples are available each boy gets four apples. If two less apples are available each boy gets three apples. How many apples are available?
27.   Rs.432 is divided among three workers. A, B and C such that 8 times A’s share is equal to 12 times B’s share which is equal to 6 times C’s share. How much A get
28.   The monthly salaries of two persons are in the ratio of 4: 7. If each receives an increase of Rs.25 in the salary the ratio is charged to 3: 5. Find their respective salaries 
29.   A man spends 30% of his monthly income on food articles, 40% of the remaining on clothes and save 50% of the remaining. If his monthly salary is 18400, how much money does he save every month
30.   How many sides does a regular polygon have whose interior and exterior angles are in the ratio 2 : 1
31.   Two numbers are in the ratio 17 : 45. One third of the smaller is less than   of the bigger by 15. The smaller number is
32.   Tea worth Rs.126 per kg and Rs.135 per kg are mixed with a third variety in the ratio 1 : 1 : 2. If the mixture is worth Rs.153 per kg the price of the third variety per kg will be?
33.   In an examination, the number of those who passed and the number of those who failed were in the ratio 25: 4. If five more had appeared and the number of failures were was 2 less than earlier the ratio of passers to failures would have been 22 : 3. The total number who appeared at the examination is
34.   In a school there were 1554 students and the ratio of the number of the boys and girls was 4 : 3. After few days 30 girls joined the school but few boys left; as a result the ratio of the boys and girls became 7 : 6. The number of boys who left the school is
35.   In an army selection process the ratio of selected to unselected candidates was 3 : 1. If 80 less had applied and 40 less selected the ratio of selected to unselected candidates would have been 4 : 1. How many candidates had applied for the process
36.   If 378 coins consist of rupees, 50p & 25p coins, whose values are in the ratio of 13 : 11 : 17. The number of 50p coins will be
37.   A bag contains three type of coins- rupee- coins. 50p coins and 25p coins totaling 175 coins. If the total value of the coins of each kind be the same, the total amount in the bad is


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