In a game of 90 points,A can give B 15 points | vedclass

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

Question

(B) In a game of $90$ points,when $A$ scores $90$,$B$ scores $(90 - 15) = 75$ and $C$ scores $(90 - 30) = 60$.Thus,the ratio of their scoring abilitie

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(B) In a game of $90$ points,when $A$ scores $90$,$B$ scores $(90 - 15) = 75$ and $C$ scores $(90 - 30) = 60$.Thus,the ratio of their scoring abilities is $A : B : C = 90 : 75 : 60$.Simplifying the ratio $B : C$,we get $B : C = 75 : 60 = 5 : 4$.This means when $B$ scores $5$ points,$C$ scores $4$ points.To find how many points $B$ can give $C$ in a game of $100$ points,we scale the ratio so that $B$ scores $100$ points:$B : C = 5 : 4 = (5 	imes 20) : (4 	imes 20) = 100 : 80$.In a game of $100$ points,$B$ scores $100$ while $C$ scores $80$.Therefore,$B$ can give $C$ $(100 - 80) = 20$ points.

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?

Similar Questions

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 $m$):

In a $500\, m$ race,the ratio of speeds of two contestants $A$ and $B$ is $3: 4$. $A$ has a start of $140\, m$. Then,$A$ wins by (in $m$)

Two boys,$A$ and $B$,run at $4.5 \text{ km/h}$ and $6 \text{ km/h}$ respectively. $A$ is given a head start of $190 \text{ m}$. If the total course length is $1 \text{ km}$,by what distance (in $\text{m}$) does $B$ win?

The respective ratio between the speeds of a car,a train and a bus is $5: 9: 4$. The average speed of the car,the bus and the train is $72 \text{ km/h}$ together. What is the average speed of the car and the train together? (in $\text{km/h}$)

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 $400\, m$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module