Question 80

If $$\frac{3}{5}P=\frac{7}{2}Q=\frac{7}{5}R$$, then what is the ratio of P,Q and R respectively ?

Solution

Let $$\frac{3}{5}P=\frac{7}{2}Q=\frac{7}{5}R=k$$

=> $$P=\frac{5k}{3}$$ , $$Q=\frac{2k}{7}$$ and $$R=\frac{5k}{7}$$

=> P : Q : R = $$\frac{5k}{3}:\frac{2k}{7}:\frac{5k}{7}$$

= $$\frac{5}{3}:\frac{2}{7}:\frac{5}{7}$$

Multiplying the numerator by L.C.M.(3,7,7) = 21

= $$21(\frac{5}{3}:\frac{2}{7}:\frac{5}{7})$$

= $$35:6:15$$

=> Ans - (D)

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