Aptitude - Ratio and Proportion - Discussion

A : B = 2 : 3
B:C = 5:8
Given, A + B + C = 98.
A : B = 2 : 3
B : C = 5 : 8
Now, A : B : C = (2 * 5) : (5 * 3) : (3 * 8),
= 10 : 15 : 24.

The sum of these numbers is 49 which is not equal to 98. So multiple ratio with 2.
(10 : 15 : 24) * 2 = 20 : 30 : 48.
The sum of these numbers is 98.
Therefore 2nd number is 30.

2 : 3 : same as second (3).
same as second (5) : 5 : 8.

2*5 = 10 || 3*5 = 15 || 3*8 = 24,
Combined ratio: 10:15:24.

The Sum of ratios: 10+15+24 = 49.

Actual sum: 98.

Multiply by 2: 10×2=20, 15×2=30, 24×2=48.

Second number: 30.

x+y+z = 98;
x/y = 2/3;
y/z = 5/8;

2y/3 + y/1 + 8y/5 = 98;

By Solving these;
49y/15 = 98,
y = 15*2,
y = 30.

@All.

It's Easy to solve it you just need to follow these steps:

Take f as first and s as second and t as third

F:S = 2:3, S:T = 5:8.
We use here some trick of a ratio where we just add the same number after the blank area for example if there is 3 we will write three on 3 front blank area

2 : 3 : 3
5 : 5 : 8.

Multiple it then we get,
10 : 15 : 24.

We sum all three of them we get 49 and the Second person only has 15 per cent so we make it 15/49.Dear @All,

To solve the problem, please follow these simple steps:

1. Let's consider the first value as 'f', the second value as 's', and the third value as 't'.
2. We are given that F:S = 2:3 and S:T = 5:8.
3. To solve this problem, we use a trick of the ratio where we add the same number to the blank area. For example, if there is a blank space of 3, we will write three on the front blank area.
4. Let's apply this trick here. We get the following ratios:
2 : 3 : 3
51 : 5 : 8
5. Now, let's multiply them. We get:
10 .. : 15 : 24
6. Sum all three values. We get 49.
7. The second value is 15, which is 15/49 of the total sum.
8. Let's multiply this with the total sum of 98.
9. The answer is 30.

Then we multiply it by 98 total sums,

98 * 15/49 = 30 answer.
I hope this explanation helps you solve the problem.

2x : 3x
5x : 8x
98 = (2x*5x) + (5x*3x) + (3x*8x).
98 = 10x + 15x + 24x.
98 = 49x.
x = 2.

Apply x, here
=10(2) + 15(2) + 24(2)
=20 : 30 : 48.
So, the answer is B=30.

A : B : C.
A:B = 2:3.
B:C = 5:8.
A:B:C = ?
A:B:C.
2:3:? (2:3:3 (nearest value))
?:5:8 (5(nearest value):5:8)
--------
10:15:24.

Add the value 10x + 15x + 24x = 98.
x = 2.
10(2) : 15(2) : 24(2).
20 : 30 : 48.

ANSWER : The second number is 30.

Let the three numbers be A, B, C.

A+B+C=98 ----> (I)
Rate:
A/B=2/3 ---> (ii)
B/C=5/8 ---> (iii)
Therefore from (ii);

B = 3A/2 .

From (iii)
B = 5C/8.

Equating B together
3A/2=5C/8.

Therefore, C = 12A/5.
From (I).

A + 3A/2 + 12A/5 = 98.

Therefore, solving for A:
A = 20.
From B=3A/2;
B = 30.
From C=12A/5;
C = 48.

Therefore;
A = 20;
B = 30;
C = 48.

Thanks all for giving an explanation to understand easily.

Thanks all it's easy to understand the solution.

A B C
2 3 3
5 5 8

Now, new ratio is 10:15:24.

According to the question, the sum of three (10 parts + 15 parts + 24 parts) numbers is 98.
Similarly, (10+15+24) parts = 98.
or, 49 parts = 98.
or, 1 part = 2.
Finally, the second number is 15 parts.
or, 15*2 = 30 (:1 part = 2).