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If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?
  • a)
    2 : 5
  • b)
    3 : 7
  • c)
    5 : 3
  • d)
    7 : 3
Correct answer is option 'C'. Can you explain this answer?
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Ratio of two numbers when one is a fraction of the other

Given that 40% of a number is equal to two-third of another number, we need to find the ratio of the first number to the second number.

Let's assume that the first number is x and the second number is y.

40% of x is equal to 2/3 of y. We can write this as:

0.4x = 2/3 y

To find the ratio of x to y, we can divide both sides by y:

0.4x/y = 2/3

Simplifying further, we get:

x/y = (2/3)/(0.4)

x/y = 5/3

Therefore, the ratio of the first number to the second number is 5:3.

Hence, option C is the correct answer.
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If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?a)2 : 5b)3 : 7c)5 : 3d)7 : 3Correct answer is option 'C'. Can you explain this answer?
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