Question

The numbers are, respectively, 30% and 40% of a third number. What percentage is the first number of the second number?

Answer 1

Hi there!
Here's the answer:

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Method -1 :

Step-1 :
• Find the first and third No.s w.r.t relation given with third No.

Let the third No. be x

First No. = 30% of x = 0.3x

Second No. = 40% of x = 0.4x


Step-2:
• Now calculate what % is the first No. of the second

=> Required percentage = (0.3x/0.4x) × 100
= (0.3/0.4) × 100
= 0.75 × 100

=> Required Percentage = 75%


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Method -2:

Let third No. = 100

First No. = 30% of third No.
= 30% of 100
= 30

Second No. = 40% of third No.
= 40% of 100
= 40

Percentage of first No. to second No. = (30/40)× 100
= (3/4) × 100
= 0.75 × 100
= 75%

•°• Required percentage = 75%

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Hope it helps