type 3 addition subtraction product on ratio & proportion Section-Wise Topic Notes With Detailed Explanation And Example Questions
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The following question based on ratio & proportion topic of quantitative aptitude
(a) 36
(b) 25
(c) 69
(d) 47
The correct answers to the above question in:
Answer: (a)
Check through options
Number = 36
3 + 6 = 9; 6 - 3 = 3
and 36 : 9 = 4 : 1
Otherwise - 10x + y : x + y = 4 : 1
10x + (x + 3) : x + (x + 3) = 4 : 1
${11x + 3}/{2x + 3} = 4/1$
11x + 3 = 8x + 12
3x = 9
x = 3 and y = 6
Then the number is 36.
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Read more addition subtraction product on ratio and proportion Based Quantitative Aptitude Questions and Answers
Question : 1
The ratio of two numbers is 3 : 8 and their difference is 115. The smaller of the two numbers is :
a) 69
b) 59
c) 194
d) 184
Answer »Answer: (a)
Let the numbers be 3x and 8x.
8x - 3x = 115
5x = 115
$x = 115/5$ = 23
The smaller number
= 3x = 3 × 23 = 69
Question : 2
If the product of two positive numbers is 1575 and their ratio is 7 : 9, then the greater number is
a) 135
b) 63
c) 35
d) 45
Answer »Answer: (d)
Numbers = 7x and 9x (let)
According to the question,
7x × 9x = 1575
$x^2 = 1575/{7 × 9}$ = 25
$x = √25$ = 5
Larger number = 9x
= 9 × 5 = 45
Question : 3
Three numbers are in the ratio $1/2 : 2/3 : 3/4$. The difference between the greatest and the smallest number is 36. The numbers are
a) 72, 84, 96
b) 72, 96, 108
c) 60, 72, 96
d) 72, 84, 108
Answer »Answer: (b)
Ratio of numbers
= $1/2 : 2/3 : 3/4$
= $1/2 × 12 : 2/3 × 12 : 3/4 ×12$
= 6 : 8 : 9
Let the numbers be 6x, 8x and 9x.
Now, 9x - 6x = 36
x = 12
Numbers are 72, 96 and 108.
Question : 4
In a 45 litres mixture of milk and water, the ratio of the milk to water is 2 : 1. When some quantity of water is added to the mixture, this ratio becomes 1 : 2. The quantity of water added is
a) 35 litres
b) 45 litres
c) 21 litres
d) 10 litres
Answer »Answer: (b)
Quantity of milk in 45 litres
= $2/3$ × 45 = 30 litres.
Water = (45 - 15) = 15 litres
Let x litres of water be added.
$30/{15 + x} = 1/2$
15 + x = 60
x = 60 - 15 = 45 litres.
Question : 5
The sum of three numbers is 68. If the ratio of the first to the second be 2 : 3 and that of the second to the third be 5 : 3, then the second number is
a) 20
b) 48
c) 58
d) 30
Answer »Answer: (d)
Let the numbers be a, b and c.
Then a : b = 2 : 3
b : c = 5 : 3
a : b : c = 2×5 : 3×5 : 3×3
= 10 : 15 : 9
Let the numbers now be 10x, 15x and 9x
10 x + 15x + 9x = 68
34x = 68
$x = 68/34 = 2$
Second number = 15 x
= 15 × 2 = 30
Question : 6
Three numbers are in the ratio 5:7:12. If the sum of the first and the third numbers is greater than the second number by 50. The sum of the three numbers is
a) 95
b) 85
c) 120
d) 125
Answer »Answer: (c)
Let the numbers be 5x, 7x and 12x.
According to the question,
5x + 12x = 7x + 50
17x - 7x = 50
10x = 50
$x = 50/10$ = 5
Required sum
= 5x + 7x + 12x = 24x
= 24 × 5 = 120
GET ratio & proportion PRACTICE TEST EXERCISES
type 1 basic concepts of ratio & proportion
type 2 age based ratio & proportion problems
type 3 addition subtraction product on ratio & proportion
type 4 income & expenditure based ratio & proportion problems
type 5 shares & partnership based ratio & proportion problems
type 6 fractions based ratio & proportion problems
type 7 finding sum difference product based ratio & proportion problems
type 8 alligation & mixtures based ratio & proportion problems
type 9 coins & rupees based ratio & proportion problems
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