Multiple choice

Two quantities that is I and II are given in following questions. Students is expected to solve the quantities and answer them according to given options by comparing their numerical values. Quantity I: When a motorboat travels in downstream then its speed become 125% of the speed of the motorboat in still water. The speed of the stream is what percentage of the speed of the motorboat in still water? Quantity II: When a sum of money was invested at simple interest then at the end of 16 years the amount becomes 500% of the sum of money. What is the rate of interest?

  1. Quantity I > Quantity II

  2. Quantity I ≥ Quantity II

  3. Quantity I < Quantity II

  4. Quantity I ≤ Quantity II

  5. Quantity I = Quantity II or relation can’t be established
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

Quantity I: Downstream speed = 125% of still water speed, so b + s = 1.25b, giving s = 0.25b. Stream speed is 25% of boat speed. Quantity II: Amount after 16 years = 500% of principal means total amount is 5 times principal, so interest = 4 times principal. Simple interest for 16 years = 4P, so 16 × r × P / 100 = 4P, giving r = 25%. Quantity I = 25% = Quantity II = 25%. Option E is correct.

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