type 6 fractions based ratio & proportion problems 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) 15 : 16
(b) 6 : 15
(c) 9 : 10
(d) 5 : 8
The correct answers to the above question in:
Answer: (a)
A : B = $1/2 : 1/3$ = 3 : 2
B : C = $1/5 : 1/3$ = 3 : 5
$A/B = 3/2$
${A+B}/B = {3+2}/2 = 5/2$
$B/C = 3 : 5 ⇒ C/B = 5/3$
${C+B}/B = 5/3 + 1 = 8/3$
${A+B}/{C+B} = 5/2 ÷ {8/3}$
= $5/2 × 3/8 = 15/16$ = 15 : 16
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Read more fractions based ratio and proportion problems Based Quantitative Aptitude Questions and Answers
Question : 1
The reciprocals of the squares of the numbers 1$1/2$ and 1$1/3$. are in the ratio
a) 81 : 64
b) 9 : 85
c) 8 : 9
d) 64 : 81
Answer »Answer: (d)
Ratio of the squares of $3/2$ and $4/3$
= $9/4 : 16/9$
Ratio of their reciprocals = $4/9 : 9/16$ = 64 : 81
Question : 2
Find the fraction which bears the same ratio to $1/27$ that $3/7$ does to $5/9$.
a) $45/7$
b) $7/45$
c) $1/35$
d) $5/9$
Answer »Answer: (c)
Let the required fraction be x.
According to the question,
$x : 1/27 = 3/7 : 5/9$
$x × 5/9 = 1/27 × 3/7 = 1/63$
$x = 1/63 × 9/5 = 1/35$
Question : 3
To get the ratio p : q (for p ≠ q), one has to add a number to each term of the ratio x : y, the number is
a) ${px - qy}/{p - q}$
b) ${py - qx}/{p - q}$
c) ${qx - py}/{p - q}$
d) ${px + qy}/{p - q}$
Answer »Answer: (c)
Let the number to be added be z.
${x +z}/{y +z} = p/q$
qx + zq = py + zp
zp - zq = qx - py
z (p - q) = qx - py
z =${qx - py}/{p - q}$
Question : 4
If 177 is divided into 3 parts in the ratio $1/2 : 2/3 : 4/5$, then the second part is
a) 72
b) 60
c) 45
d) 75
Answer »Answer: (b)
Ratio of division
= $1/2 : 2/3 : 4/5$
= $1/2 × 30 : 2/3 × 30 : 4/5$ × 30
[LCM of 2, 3 and 5 = 30]
= 15 : 20 : 24
Sum of the terms of ratio
= 15 + 20 + 24 = 59
Second part
= Rs.$(20/59 × 177)$ = Rs.60
Question : 5
If x : y = 3 : 4 and y : z = 3 : 4, then ${x + y + z}/{3z}$ is equal to
a) $73/84$
b) $37/48$
c) $1/2$
d) $13/27$
Answer »Answer: (b)
x : y = 3 : 4 = 9 : 12
y : z = 3 : 4 = 12 : 16
x : y : z = 9 : 12 : 16
${x + y + z}/{3z} - {9k +12k +16k}/{3 × 16k} = 37/48$
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
ratio & proportion Shortcuts and Techniques with Examples
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