Kunal was asked to find $$\frac{5}6$$​times of a number. He multiplied it by $$\frac{6}5$$​ As a result, he got an answer which was more than the correct answer by 572. The number was:

Correct option is C

Given:

Kunal was asked to find $$\frac{5}{6}$$​ times a number but mistakenly multiplied it by $$\frac{6}{5}$$​. The result exceeded the correct value by 572.

Solution:

Let the number be $x$.

The correct calculation Kunal should have done. 

= $$\frac{5}{6} \times x$$ 

​Instead of multiplying by $$\frac{5}{6}$$ Kunal multiplied by $$\frac{6}{5}$$ . So: 

= $$\frac{6}{5} \times x$$ 

So, 

​$$\frac{6}{5} \times x - \frac{5}{6} \times x = 572$$ 

​$$\frac{(36\times x-25 \times x)}{30} = 572$$ 

​$$\frac{11}{30} \times x = 572$$ 

$$11 \times x = 572 \times 30 = 17160$$ 

$$x = \frac{17160}{11} = 1560$$ 

​Thus the number is 1560.

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