Question 54

If 60% of a number is equal to $$\frac{3}{7}$$ of another number, then what is the ratio of the two numbers?

Solution

Let's assume the first number is 'y' and another number is 'z'.

If 60% of a number is equal to $$\frac{3}{7}$$ of another number.

$$60\%\ of\ y=\ \frac{3}{7}\times\ z$$

$$\frac{60}{100}\times\ y=\ \frac{3}{7}\times\ z$$

$$\frac{3}{5}\times\ y=\ \frac{3}{7}\times\ z$$

$$\frac{1}{5}\times\ y=\ \frac{1}{7}\times\ z$$

$$\frac{y}{z}=\ \frac{5}{7}$$

Ratio of the two numbers = 5:7

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