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In the last three months, Mrs. Tripathi lost 5½ kg, gained 2¼ kg and then lost 3¾ kg. If she now weighs 95kg, how much did Mrs. Tripathi weigh to begin with

  • A.100 kg
  • B.102 kg
  • C.106.5 kg
  • D.104.5 kg

Answer: B

Mrs. Tripathi weighed 102 kg to begin with.

Let her starting weight be W. Losses are subtracted and the gain is added:

\[ \begin{aligned} W - 5.5 + 2.25 - 3.75 &= 95 \\ W - 7 &= 95 \\ W &= 102 \end{aligned} \]

Check: 102 − 5.5 = 96.5, then 96.5 + 2.25 = 98.75, then 98.75 − 3.75 = 95. 106.5 kg is what you get by adding all three changes to 95, treating the gain as a loss too.

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