\(P\) is greater than \(Q\) by \(12, Q\) is greater than \(R\) by 12 and \(P : R =8: 5\), then \(R\) is?
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Correct Answer: Option C
Explanation:
\(P=Q+12 \ldots(1)\)
\(Q=R+12 \ldots(2)\)
Put equ(2) into equ (1)
\(P=R+12+12\)
\(P=R+24 \cdots(3)\)ut \(P: R=8: 5\)
i.e. \(\frac{P}{R}=\frac{8}{5} \ldots(4)\)
Put equ (3) into equ (4) \(\frac{R+24}{R}=\frac{8}{5}\)
\(5(R+24)=8 R\)
\(5 R 120=8 R\)
\(120=8 R-5 R\)
\(3 R=120, \quad R=\frac{120}{3}=4047 .\)
\(P=Q+12 \ldots(1)\)
\(Q=R+12 \ldots(2)\)
Put equ(2) into equ (1)
\(P=R+12+12\)
\(P=R+24 \cdots(3)\)ut \(P: R=8: 5\)
i.e. \(\frac{P}{R}=\frac{8}{5} \ldots(4)\)
Put equ (3) into equ (4) \(\frac{R+24}{R}=\frac{8}{5}\)
\(5(R+24)=8 R\)
\(5 R 120=8 R\)
\(120=8 R-5 R\)
\(3 R=120, \quad R=\frac{120}{3}=4047 .\)