The difference between of a number and 45% of the number is 56. What is 65% of the number ?


A) 96

B) 104

C) 112

D) 120

E) None of these

Correct Answer:
E) None of these

Description for Correct answer:
Let the number = x

According to question,

\( \Large x - \frac{45}{100}x = 56\)

\( \Large 100x - 45x = 5600 \)

\( \Large 55x = 5600 \)

\( \Large x = \frac{5600}{55} = 101.81 \)

\( \Large x = 102 \)

Requlred number = \( \Large 102 \times \frac{65}{100} \)

=\( \Large 66.3 \)

= 66

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