Question 55

The difference between 4/5 of a number and 45% of the number is 56. What is 65% of the number ?

Solution

Let the number be $$x$$

Acc to ques,

=> $$\frac{4x}{5} - \frac{45x}{100} = 56$$

=> $$\frac{16x}{20} - \frac{9x}{20} = 56$$

=> $$\frac{7x}{20} = 56$$

=> $$x = \frac{56 \times 20}{7}$$

=> $$x = 8 \times 20 = 160$$

$$\therefore$$ 65% of $$x$$ = $$\frac{65}{100} \times 160$$

= $$104$$


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