If 25% of (p + Q) = 75% of (p — Q), then find the ratio p: Q.
If 25% of (p + Q) = 75% of (p — Q), then find the ratio p: Q.
यदि (p + Q) का 25% = (P – Q) का 75% है, तो P : Q का अनुपात ज्ञात कीजिए।
Detailed Solution & Logic
Correct Answer:
2 : 1
Solution:
$ \dfrac{25}{100}(P+Q)=\dfrac{75}{100}(P-Q) $
$ \dfrac{1}{4}(P+Q)=\dfrac{3}{4}(P-Q) $
P+Q=3(P-Q)
P+Q=3P-3Q
2P=4Q
P=2Q
$ \therefore\ P:Q=2:1 $
2 : 1
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