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X's income is 44% more than that of Y. What percent is Y's income less than X's?
Question

X's income is 44% more than that of Y. What percent is Y's income less than X's?

A.

32.5%

B.

33%

C.

30.5%

D.

20.4%

Correct option is C

Given:

X's income is 44% more than Y's income.

Formula Used:

Required % = DifferenceX’s income×100\frac{\text{Difference}}{\text{X's income}} \times 100 

Solution:

Let Y's income = 100
Then X's income = 100 + 44
Difference = 144 − 100 = 44

Y's income is less than X's by = ​44144×100%=1100%3630.56% \frac{44}{144} \times 100 \%= \frac{1100 \%}{36} \approx 30.56\%​​

Y’s income is approximately less than X's = 30.5%

Thus, the correct option is (c) 30.5 %

Alternate Method:

X         :       Y

144      :       100

Y's income is less than X's by = 44144×100%=1100%36 \frac{44}{144} \times 100 \%= \frac{1100 \%}{36}  = 30.5%

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