16 : 56 :: 32 : ?
Let the required number be 'n'
The given numbers follow a logic that,
16/56 = 2/7
=> 32/n = 2/7
=> 32 x 7/2 = n
=> n = 112.
Hence, 16 : 56 :: 32 : 112.
If the person who gets 1/4 of the whole gets thrice of what the others get on an average, each one will get =1/3×1/4=112 of the whole.
Therefore, if there are k persons other than the person who gets one-fourth, then 1/4 + k/12 = 1
? k=9
Hence, total number of people = 10.
Let the number of failed students be x
=> Number of passed students = 4x
So total number of students was 5x
From the given data,
If total number of students be 5x ? 35
=> 4x-35-9/x+9 = 2/1
=> 4x ? 44 = 2(x + 9)
=> 4x ? 2x = 18 + 44
=> x = 31
Total number = 31×5
= 155
Let the incomes of A and B be 3P and 4P.
If each saves Rs. 100 per month, then their expenditures = Income - savings = (3P - 100) and (4P - 100).
The ratio of their expenditures is given as 1 : 2.
Therefor, (3P - 100) : (4P - 100) = 1 : 2
Solving, We get P = 50. Substitute this value of P in 3P and 4P.
Thus, their incomes are : Rs.150 and Rs.200
Given total rupees = 20 Rs
No. of one rupee stamps = 3
Now, remaining money = Rs. 17
With that he buys only 2 and 5 rupee stamps
Let number of Rs. 5 stamps = K
Let number of Rs. 2 stamps = L
5K + 2L = 17
K = 3, L = 1 (possible)
L = 6, K = 1 (possible)
=> But given that they are different in number so, K is not equal to 3
one rupee stamps = 3
2 two stamps = 6
5 rupee stamps = 1
Total number of stamps = 10.
Let Pencils = 10x, Pens = 2x & Exercise books = 3x. Now, 10x = 120 hence x = 12.
Number of exercise books = 3x = 36.
From the given data,
Virat : Rohit = 3 : 2
Rohit : Dhoni = 3 : 2
Ratio of runs scored by Virat, Rohit and Dhoni respectively
= 3 x 3 : 2 x 3 : 2 x 2
9 : 6 : 4
Runs scored by Virat = 9/19 x 285 = 135.
Total student= 39, boys : girls = 2:1, hence no of boys= 2/3(39)= 26
num of girls= 1/3(39) = 13 , since radhika ranked 15 among 39 student from top
and ranked 8 among girls from bottom , this means 7 girls are below radhika, rest 13-9= 5 girls are above her, now from 14 toper 5 are girls hence 14-5=9 boys.
Hence num of boys below radhika are 26-9=17
As 12 men can reap 120 acres, 54 men will be able to reap more acres in 36 days, 120 acres of land was reaped, so in 54 days, more land will be reaped.
Thus, the numbers of acres that can be reaped by 54 men in 54 days = = 810 acres
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