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If $\frac{5}{7}$ part of a number is 15 , then $\frac{2}{3}$ part of that number = ?

(a) $\frac{3}{5}$

(b) $\frac{7}{30}$

(c) 72

(d) 14

Solution:

Let the number be $\dot{x}$.

\begin{aligned} \therefore \quad & \frac{5}{7} \text { of } x=15 \\ \therefore \quad & x=\frac{15 \times 7}{5}=21 \\ & \text { Again, } \frac{2}{3} \text { of } 21=2 \times 7=14 \\ \therefore \quad & \text { True option }=\text { (d). } \end{aligned}

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