Question Detail

Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

Rs 10
Rs 20
Rs 24
Rs 28

Answer: Option B

Explanation:

Let C = x. Then A = (x—20) and B = (x—40).
x + x - 20 + x - 40 = 120 Or x=60.
A:B:C = 40:20:60 = 2:1 :3.
B's share = Rs. 120*(1/6) = Rs. 20

1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

Answer: Option C

Explanation:

Let the third number be x.
First Number (120/100)*x = 6x/5
Second Number (150/100)*x = 3x/2

Ratio = 6x/5:3x/2
=> 4:5

2. 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: Option D

Explanation:

Let A salary be 2k
B salary be 3k and C salary be 5k

$\begin{aligned} \text{A's new salary = }\frac{115}{100}*2k \\ = \frac{23}{10}k \\ \text{B's new salary = }\frac{110}{100}*3k \\ = \frac{33}{10}k \\ \text{C's new salary = }\frac{120}{100}*5k \\ = 6k \\ \text{New ratio = }\\ \frac{23k}{10}:\frac{33k}{10}:6k \\ = 23:33:60 \\ \end{aligned}$

3. If Rs. 782 is divided into three parts, proportional to
$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned}$

find the first part.

Answer: Option B

Explanation:

$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \\ = 6:8:9\\ \text{First part =} 782 * \frac{6}{23} \\ = 204 \end{aligned}$

4. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the second number is

Answer: Option D

Explanation:

$\begin{aligned} a:b = 2:3 \\ b:c = 5:8 = (5*\frac{3}{5} : 8*\frac{3}{5}) \\ = 3:\frac{24}{5} \\ a:b:c = 2:3:\frac{24}{5} \\ = 10:15:24 \\ b = 98*\frac{15}{49} \\ = 30 \end{aligned}$

5. 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: Option D

Explanation:

Let A = 2x, B = 3x, C = 4x, then,

$\begin{aligned} \frac{A}{B} = \frac{2x}{3x} = \frac{2}{3} \\ \frac{B}{C} = \frac{3x}{4x} = \frac{3}{4} \\ \frac{C}{A} = \frac{4x}{2x} = \frac{2}{1} \\ => \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \\ = \frac{2}{3}:\frac{3}{4}:\frac{2}{1} \\ = 8:9:24 \end{aligned}$

Question Detail

Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

2. 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.

3. If Rs. 782 is divided into three parts, proportional to
$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned}$

find the first part.

4. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the second number is

5. If A:B:C = 2:3:4, then find

$\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}$

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Question Detail

Rs. 120 are divided among A, B, C such that A's share is Rs. 20 more than B's and Rs. 20 less than C's. What is B's share

1. Two numbers are respectively 20% and 50% more than a third number. The ratio of the two numbers is

2. 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.

3. If Rs. 782 is divided into three parts, proportional to 12:23:34\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned} find the first part.

4. The sum of three numbers is 98. If the ratio of the first to the second is 2:3 and that of the second to the third is 5:8, then the second number is

5. If A:B:C = 2:3:4, then find AB:BC:CA\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}

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3. If Rs. 782 is divided into three parts, proportional to
$\begin{aligned} \frac{1}{2}:\frac{2}{3}:\frac{3}{4} \end{aligned}$

find the first part.

5. If A:B:C = 2:3:4, then find

$\begin{aligned} \frac{A}{B}:\frac{B}{C}:\frac{C}{A} \end{aligned}$