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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(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?

Similar Questions

In a game of $90$ points,$A$ can give $B$ $15$ points and $C$ $30$ points. How many points can $B$ give $C$ in a game of $100$ points?

$A$ can run $23\, m$,while $B$ runs $25\, m$. In a kilometre race,$B$ beats $A$ by (in $m$):

In a race of $600\, m$,$A$ can beat $B$ by $60\, m$ and in a race of $500\, m$,$B$ can beat $C$ by $50\, m$. By how many $m$ will $A$ beat $C$ in a race of $400\, m$?

$A$ and $B$ run a $1 \, km$ race. If $A$ gives $B$ a start of $50 \, m$,$A$ wins by $14 \, sec$. If $A$ gives $B$ a start of $22 \, sec$,$B$ wins by $20 \, m$. The time taken by $A$ to run a $1 \, km$ is (in $sec$):

In a race of $100\, m$,$A$ beats $B$ by $10\, m$ and $C$ by $20\, m$. In a race of $180\, m$,$B$ will beat $C$ by (in $m$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module