TANCET 2008 Quant Question 6 : Percent - Comparison

Question

John weighs twice as much as Maria. Marcia's weight is 60% of Bob's weight. Dave weighs 50% of Lee's weight. Lee weighs 190% of John's weight. Which of these 5 persons weighs the least?

1. Bob
2. Dave
3. John
4. Lee
5. Marcia
   
   

Correct Answer: Marcia. Choice (5)

Explanatory Answers

From the information given, we can quickly grasp that everyone's weight can be expressed in terms of John's weight.

Let John's weight be 'x'.
So, Marcia's weight is .

Marcia's weight = 60% of Bob's weight
Or of Bob's weight
Or Bob's weight =

Lee weighs 190% of John. So, Lee = 190% of x = = 1.9 x

Dave weighs 50% as much as Lee does. Dave = 50% of 1.9x = = 0.95x.

In ascending order these values can be arranged as 0.95x, x, 1.9x
The least weight is - Marcia's weight.

Alternative easier method

Assume a number for John's weight and work with that assumption. Easy assumption to make for any starting point in percents is to assume the number to be 100.

Let John's weight be 100 kg.
So, Marcia's weight = 50 kg.

Marcia's weight = 50 kgs = 60% of Bob's weight
Or 60/100 of Bob's weight = 50 or Bob's weight =

Lee's weight = 190% of John's weight = 190% of 100 = 190 kg.
Dave's weight = 50% of Lee's weight = 50% of 190 = 95 kg.

The smallest of these values is 50 kg. The weight of Marcia.

Level of difficulty : Moderate

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