# Aptitude - Ratio and Proportion - Discussion

Discussion Forum : Ratio and Proportion - General Questions (Q.No. 9)

9.

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

Answer: Option

Explanation:

Let the three parts be A, B, C. Then,

A : B = 2 : 3 and B : C = 5 : 8 = | 5 x | 3 | : | 8 x | 3 | = 3 : | 24 | ||||

5 | 5 | 5 |

A : B : C = 2 : 3 : | 24 | = 10 : 15 : 24 |

5 |

B = | 98 x | 15 | = 30. | ||

49 |

Discussion:

115 comments Page 1 of 12.
Abhishek Kumar said:
4 months ago

Thanks all for giving an explanation to understand easily.

(1)

Navya said:
5 months ago

Thanks all it's easy to understand the solution.

Dharmendra kalauni said:
6 months ago

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).

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).

(19)

Kk kumar said:
10 months ago

I can't undersand, can anyone explain me?

Ashok said:
1 year ago

Simple way.

A:B:C.

2:3:

:5:8.

Add same value adjacent to blank space.

i.e,

2:3:3,

5:5:8 and multiply,

10:15:24.

Total Sum = 98.

Total sum of ratio=49.

Divide = 98/49=2.

Multiply 2 * 15 = 30 Ans.

Here, 15 is ratio of the 2nd number which is to be find.

A:B:C.

2:3:

:5:8.

Add same value adjacent to blank space.

i.e,

2:3:3,

5:5:8 and multiply,

10:15:24.

Total Sum = 98.

Total sum of ratio=49.

Divide = 98/49=2.

Multiply 2 * 15 = 30 Ans.

Here, 15 is ratio of the 2nd number which is to be find.

(4)

Nandita Bhoyar said:
2 years ago

We can try a simpler method:

Let the three numbers be x,y, and z.

It's given that,

x+y+z = 98 --------> (i)

Now, x/y = 2/3

So, x = 2y/3

And, y/z = 5/8

So, z = 8y/5.

Now putting the values of x and z in (i), we get

2y/3+y+8y/5 = 98,

(10y + 15y + 24y)/15 = 98,

49y/15 = 98,

49y = 1470,

y = 30.

Let the three numbers be x,y, and z.

It's given that,

x+y+z = 98 --------> (i)

Now, x/y = 2/3

So, x = 2y/3

And, y/z = 5/8

So, z = 8y/5.

Now putting the values of x and z in (i), we get

2y/3+y+8y/5 = 98,

(10y + 15y + 24y)/15 = 98,

49y/15 = 98,

49y = 1470,

y = 30.

(8)

Swetha said:
2 years ago

To get ratio as f:s:t we make s ratio equal in both multiply first ratio with 5 and second ratio with 3 then you will get 10:15 and 15:24 now we can write 10:15:24 and on adding them the result is 98 and we get x=2 and s=2(15)=30.

Ramesh said:
2 years ago

A : B : C.

2:3

---5: 8

2 * 5:3 * 5:3 * 8.

10:15:24

(15 * 98)/49 = 30.

2:3

---5: 8

2 * 5:3 * 5:3 * 8.

10:15:24

(15 * 98)/49 = 30.

Shafiya anjum. said:
2 years ago

Well explained, thanks @Alisha.

Sudip said:
2 years ago

1st : 2nd = 2:3

2nd : 3rd= 5:8

_____________________

1st:2nd:3rd = 2*5=10 : 3*5=15 : 3:8=24.

2nd number = 15/49*98,

= 30.

2nd : 3rd= 5:8

_____________________

1st:2nd:3rd = 2*5=10 : 3*5=15 : 3:8=24.

2nd number = 15/49*98,

= 30.

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