In a game of 100 points,P can give Q 10 point | vedclass

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(D) In a game of $100$ points,if $P$ gives $Q$ $10$ points,it means when $P$ scores $100$,$Q$ scores $90$.So,the ratio $P : Q = 100 : 90 = 10 : 9$.If

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$20$

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(D) In a game of $100$ points,if $P$ gives $Q$ $10$ points,it means when $P$ scores $100$,$Q$ scores $90$.So,the ratio $P : Q = 100 : 90 = 10 : 9$.If $P$ gives $R$ $28$ points,it means when $P$ scores $100$,$R$ scores $72$.So,the ratio $P : R = 100 : 72 = 25 : 18$.To find the ratio $Q : R$,we calculate:$\frac{Q}{R} = \frac{Q}{P} 	imes \frac{P}{R} = \frac{90}{100} 	imes \frac{100}{72} = \frac{90}{72} = \frac{5}{4}$.To express this in terms of a $100$ point game for $Q$,we multiply the numerator and denominator by $20$:$\frac{Q}{R} = \frac{5 	imes 20}{4 	imes 20} = \frac{100}{80}$.This means when $Q$ scores $100$ points,$R$ scores $80$ points.Therefore,$Q$ can give $R$ $100 - 80 = 20$ points.

In a game of $100$ points,$P$ can give $Q$ $10$ points and $R$ $28$ points. Then $Q$ can give $R$ (in points) how many points?

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