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In a 100 m race, A can beat B by 25 m and B can beat C by 4 m. In the same race, A can beat C by:
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& A:B = 100:75 \cr
& B:C = 100:96 \cr
& \therefore A:C = {\frac{A}{B} \times \frac{B}{C}} \cr
& = {\frac{{100}}{{75}} \times \frac{{100}}{{96}}} \cr
& = \frac{{100}}{{72}} \cr
& 100:72 \cr
& \therefore A\,\text{beats}\,C\,by \cr
& = \left( {100 - 72} \right)m \cr
& = 28\,m \cr} $$
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Loginhow to got the ans as 28 m????