Home
Class 14
MATHS
A is 20% of B. Ratio of A:B=?...

A is `20%` of B.
Ratio of `A:B=?`

A

A) 1:5

B

B) 2:3

C

C)3:4

D

D) 4:5

Text Solution

AI Generated Solution

The correct Answer is:
To find the ratio of A to B given that A is 20% of B, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the relationship**: We know that A is 20% of B. This can be mathematically expressed as: \[ A = 0.20 \times B \] 2. **Express B in terms of A**: To find the ratio A:B, we can express B in terms of A. Rearranging the equation gives: \[ B = \frac{A}{0.20} \] 3. **Simplify the expression**: Since 0.20 is the same as \(\frac{1}{5}\), we can rewrite the equation: \[ B = A \times 5 \] 4. **Set up the ratio**: Now we can express the ratio A:B as follows: \[ \frac{A}{B} = \frac{A}{5A} = \frac{1}{5} \] 5. **Write the ratio**: Therefore, the ratio of A to B is: \[ A:B = 1:5 \] ### Final Answer: The ratio of A to B is \(1:5\). ---
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • RATIO

    MOTHERS|Exercise Sum & Product|23 Videos
  • RATIO

    MOTHERS|Exercise Ratio Merge Tricks|15 Videos
  • RATIO

    MOTHERS|Exercise Ratio Merge Tricks|15 Videos
  • PROFIT & LOSS (PREVIOUS YEAR QUESTIONS 2018)

    MOTHERS|Exercise QUESTIONS |123 Videos
  • RATIO & PROPORTION

    MOTHERS|Exercise Multiple Choice Question|246 Videos

Similar Questions

Explore conceptually related problems

a:b=4*77 , Ratio of a:b=?

Two numbers A and B are such that the sum of 5 % of A and 4% of B is 2/3 rd of the sum of 6% of A and 8% of B. The ratio A:B in

Knowledge Check

  • A is 20% less than B. Find Ratio of A:B=?

    A
    A) 4:5
    B
    B) 2:1
    C
    C) 2:5
    D
    D) 6:1
  • A is 20% More than B. Find Ratio of A:B=?

    A
    A) 6:5
    B
    B) 2:3
    C
    C) 1:4
    D
    D) 5:3
  • If 15% of A = 20% of B, then A : B = ?

    A
    `3 : 4`
    B
    `4 : 3`
    C
    `17 : 16`
    D
    `16 : 17`
  • Similar Questions

    Explore conceptually related problems

    The cost price of an article A is 20% more than that of B .A is sold for Rs. 1,800 at a loss of 20% and B is sold such that there is profit of 20% on both A and B together .The selling price of B is :

    The cost price of an article A is 20% more than that of B, A is sold for Rs 1,800 at a loss of 20% and B is sold such that there is a profit of 20% on both A and B together. The selling price of B is :

    If 20% of A = 35% of B, then A : B=

    If 20% of a = b then b% of 20 = ?

    If 20% of (A+B) is 50% of B. Find out the value of (2A-B)/(2A+B) .