​A number y, when reduced by 25%, becomes 120% of a second number z. What percentage of z is y?

Correct option is A

Given:

y when reduced by 25% becomes 120% of z

Solution:

When y is reduced by 25%

Then $$y_1$$​ = y - 25% of y

​$$y_1$$= y - 0.25y = 0.75y

But 0.75y = 120% of z

0.75y = 1.2z

​$$\frac{y}{z} = \frac{1.2}{0.75}$$​​

Converting into percentage:$$\frac{1.2}{0.75} \times 100 = 160\%$$​​