Subject

    Quantitative Aptitude

    Topic

    Speed & Distance

    In a game of 80 points, X can give Y 5 points and Z 15 points. How many points can Y give Z in a game of 75 points?

    ক)
    6 points
    খ)
    10 points
    গ)
    12 points
    ঘ)
    8 points
    ঙ)
    5 points

    Explanation

    Given that, in a game of 80 points, X can give Y 5 points and Z 15 points, i.e. Number of points of Y = 80 – 5 = 75 Number of points of z = 80 – 15 = 65 xy=8075\frac{x}{y} = \frac{{80}}{{75}}  ------- (1) andxz=8065and\frac{x}{z} = \frac{{80}}{{65}} ----------- (2) Dividing (1) by (2), we obtain yz=7565\frac{y}{z} = \frac{{75}}{{65}} Multiplying and dividing with 75, we get yz=7565×7575⇒yz=7565⇒75y=65z\begin{array}{l} \frac{y}{z} = \frac{{75}}{{65}} \times \frac{{75}}{{75}}\\ \Rightarrow \frac{y}{z} = \frac{{75}}{{65}}\\ \Rightarrow \frac{{75}}{y} = \frac{{65}}{z} \end{array} Thus Y can give Z : 75 – 65 = 10 points.

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