Keerthana
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Three-fourth of a number is equal to 60% of another number. What is the difference between the numbers?

a

18

b

32

c

24

d

Cannot be determined

e

None of these

Answer : Option D
Explanation :

Let the numbers be x and y respectively. Then,

34x=60%  of  yfrac{3}{4}x = 60{ m{\% ;of;}}y

34x=60100y Rightarrow frac{3}{4}x = frac{{60}}{{100}}y

34x=35y Rightarrow frac{3}{4}x = frac{3}{5}y

y=34×53x=54x Rightarrow y = frac{3}{4} imes frac{5}{3}x = frac{5}{4}x

yx herefore y - x

=54xx=x4 = frac{5}{4}x - x = frac{x}{4}

Clearly, no unique answer is possible.

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