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Two numbers are, respectively. 28% and 25% less than a third number. What percent is the first number of the second number?
Question



Two numbers are, respectively. 28% and 25% less than a third number. What percent is the first number of the second number?

A.

104.16%

B.

90%

C.

92%

D.

96%

Correct option is D

Suppose that the three numbers are x, y and z respectively
Here, x is 28% less than z. Thus,
=> x = (100 − 28)% of z
=> x = 72100\frac{72}{100}​×z = 0.72z
Also, y is 25% less than z. Thus,
=> y = (100 − 25)% of z
=> y = 75100\frac{75}{100}​ × z = 0.75z
So, the percent first number of the second number,

P% = xy\frac{x}{y}​×100%

P% = 0.72z0.75z\frac{0.72z}{0.75z} ​×100% 

P% = 0.96×100%
P% = 96%
Thus, 96% is the first number of the second number.

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