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Quantity I: When a boat travels upstream then its speed becomes 75% of the speed of the boat in still water. The speed of the stream is how much percentage of the speed of the boat in still water? Quantity II: When a sum of money was invested at a simple interest then at the end of 8 years the amount becomes 300% of the sum of money. Find the rate of interest?

Quantity I: When a boat travels upstream then its speed becomes 75% of the speed of the boat in still water. The speed of the stream is how much percentage of the speed of the boat in still water? Quantity II: When a sum of money was invested at a simple interest then at the end of 8 years the amount becomes 300% of the sum of money. Find the rate of interest? Correct Answer <p>Quantity I = Quantity II or No Relation</p>

Calculation:

Quantity I:

Let the speed of the boat in still water = x km per hour

The speed of the stream = y km per hour

According to the question,

⇒ x – y = 75% of y

⇒ 25x = 100y

⇒ x/y = 4 : 1

∴ Required Percentage = 1 × 100/4

⇒ 25%

Quantity II:

Let the sum of money = x

⇒ x + x × 8 × r/100 = 3x

⇒ x × 8 × r/100 = 2x

∴ r = 200/8

⇒ 25%

Quantity I = Quantity II

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