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Word Problems

If 3p

Question

If 3p% of q = 2q% of r, then by what percent is r greater than p? (p, q, r $\neq$ 0)

300%

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100%

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50%

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150%

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Solution

The correct option is D 50%
$3 p % \times q = 2 q % \times r ⟹ 3 p q = 2 q r ⟹ 3 p = 2 r ⟹ \frac{r}{p} = \frac{3}{2}$
Required percentage $= (\frac{r}{p} - 1) \times 100 ⟹ (\frac{3}{2} - 1) \times 100 = 50 %$

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