In a linear race of 1000 m, Saloni beat Shweta by 100 m, while Shweta beat Sonam by 150 m. By how many meters does Saloni beat Sonam, in the same race?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 235 m
Saloni beat Shweta by 100 m
⇒Saloni : Shweta = 1000 : (1000 - 100) = 1000 : 900 = 10 : 9 ....(1
Shweta beat Sonam by 150 m.
⇒Shweta : Sonam = 1000 : (1000 - 150) = 1000 : 850 = 20 : 17 ....(2
Multiply eq 1 by 20 and eq 2 by 9 -
⇒A : B = 200 : 180
⇒B : C = 180 : 153
⇒Saloni : Shweta : Sonam = 200 : 180 : 153
⇒Saloni : Sonam = 200 : 153
When Saloni covers 200 m then Sonam covers = 153 m
⇒Saloni covers 1000 then Sonam covers = 153 × 5 =765 m
⇒Saloni beat Sonam in a race of 1000 m = 1000 - 765 = 235 m.