Question

While doing the yearly accounting for a company, an accountant notices that an important calculation has some digits missing.

$K÷\frac{\left(\right)}{7}=\frac{42}{\left(\right)}$

If the missing digits in both fractions are the same, help the accountant find the value of "K".

• A. $K=4$
• B. $K=8$
• C. $K=6$
• D. $K=2$

Answer 1

The correct option is C $K=6$

$\text{The missing digit in both the fractions are}\text{the same.}$

$\text{Taking the missing digit to be}M,\text{we get:}$

$K÷\frac{M}{7}=\frac{42}{M}$

$\text{Writing the corresponding}multiplicationequation,\text{we get:}$

$K=\frac{M}{7}\times \frac{42}{M}$

$⟹K=\frac{M\times 42}{7\times M}⟹K=\frac{M\times 42}{7\times M}⟹K=\frac{42}{7}⟹K=6$