Ratio and Proportion Questions Answers

1. If a:b = 2:3 and b:c = 4:3, then find a:b:c
 8:12:9
 2:3:8
 2:3:9
 2:3:12
Answer And Explanation
Answer: Option A
Explanation:
\begin{aligned}
a:b = 2:3 \\
b:c = 4:3 = (4*\frac{3}{4} : 3*\frac{3}{4}) \\
= 3:\frac{9}{4} \\
a:b:c = 2:3:\frac{9}{4} \\
= 8:12:9
\end{aligned} 
2. Find the fourth proportion to 2,3,6
 18
 12
 9
 4
Answer And Explanation
Answer: Option C
Explanation:
2:3 :: 6:x
=> 2/3 = 6/x
=> x = 18/2
=> x = 9 
3. If A:B:C = 2:3:4, then find
\begin{aligned}
\frac{A}{B}:\frac{B}{C}:\frac{C}{A}
\end{aligned} 5:9:24
 6:9:24
 7:9:24
 8:9:24
Answer And Explanation
Answer: Option D
Explanation:
Let A = 2x, B = 3x, C = 4x, then,
\begin{aligned}
\frac{A}{B} = \frac{2x}{3x} = \frac{2}{3} \\
\frac{B}{C} = \frac{3x}{4x} = \frac{3}{4} \\
\frac{C}{A} = \frac{4x}{2x} = \frac{2}{1} \\
=> \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \\
= \frac{2}{3}:\frac{3}{4}:\frac{2}{1} \\
= 8:9:24
\end{aligned}

4. If A:B = 2:3, B:C = 4:5 and C:D = 6:7, then find the value of A:B:C:D
 15:24:30:35
 16:24:30:35
 17:24:30:35
 18:24:30:35
Answer And Explanation
Answer: Option B
Explanation:
\begin{aligned}
A:B = 2:3 \\
B:C = 4:5 = (4*\frac{3}{4} : 5*\frac{3}{4}) \\
= 3:\frac{15}{4} \\
C:D = 6:7 = (6*\frac{15}{24} : 7*\frac{15}{24}) \\
= \frac{15}{4}:\frac{35}{8} \\
A:B:C:D = 2:3:\frac{15}{4}:\frac{35}{8} \\
= 16:24:30:35
= 8:12:9
\end{aligned} 
5. If 2 : 9 :: x : 18, then find the value of x
 2
 3
 4
 6
Answer And Explanation
Answer: Option C
Explanation:
Treat 2:9 as 2/9 and x:18 as x/18, treat :: as =
So we get 2/9 = x/18
=> 9x = 36
=> x = 4

6. if x:y = 1:3, then find the value of
(7x+3y):(2x+y) 14:5
 15:5
 16:5
 17:5
Answer And Explanation
Answer: Option C
Explanation:
let x = 1k and y = 3k, so
\begin{aligned}
= \frac{7(k)+3(3k)}{2(k)+1(3k)} \\
= \frac{16k}{5k} \\
= 16:5
\end{aligned} 
7. The salaries of A, B and C are of ratio 2:3:5. If the increments of 15%, 10% and 20% are done to their respective salaries, then find the new ratio of their salaries.
 20:33:60
 21:33:60
 22:33:60
 23:33:60
Answer And Explanation
Answer: Option D
Explanation:
Let A salary be 2k
B salary be 3k and C salary be 5k
\begin{aligned}
\text{A's new salary = }\frac{115}{100}*2k \\
= \frac{23}{10}k \\
\text{B's new salary = }\frac{110}{100}*3k \\
= \frac{33}{10}k \\
\text{C's new salary = }\frac{120}{100}*5k \\
= 6k \\
\text{New ratio = }\\
\frac{23k}{10}:\frac{33k}{10}:6k \\
= 23:33:60 \\
\end{aligned}

cha 4 years ago
2:3

cha 4 years ago
more questions on a is to b is to c is to d

kritika 4 years ago
QA person bought some rice and wheat for Rs 380.The Ratio of weight of rice and wheat is 4:3 and the price of equal amount of rice and wheat is in ratio 5:6.The rice was bought of worth.

Yusuf Ali Ghulam 6 years ago
Q.Two vessel A and B contain ether and ethanaol in ratio of 5:2 and 4:1 respectively. find the ratio in which these two qualities are to be mixed to get a new mixture of ether and ethanol in the raio of 3:1 ?

amit srivastava 7 years ago
please solve this ques.
the contents of two vessels containing water & milk r in d ratio2:3 & 4:5 r mixed in ratio 1:2. find the new mixture ratio?