Two numbers are less than the third number by 40% and 65% respectively

1.	Two numbers are less than the third number by 40% and 65% respectively. The percentage by which second number is less than the first number is -1. 42%2. 41%3. 41.67%4. 41.33%
Answer» Correct Answer - Option 3 : 41.67% Given: Two numbers are less than the third number by 40% and 65% respectively. Concepts used: Percentage by which second number is less than first number = [(First number - second number)/First number × 100] Calculation: Let the third number be x. First number = x – 40% of x ⇒ 60% of x = 0.60x Second number = x – 65% of x ⇒ 35% of x = 0.35x First number – Second number = 0.60x – 0.35x ⇒ 0.25x Percentage by which second number is less than first number = (First number – Second number)/First number] × 100 ⇒ (0.25x/0.60x) × 100 ⇒ 125/3 % ⇒ 41.67% ∴ Second number is less than the first number by 41.67%.

Two numbers are less than the third number by 40% and 65% respectively. The percentage by which second number is less than the first number is -1. 42%2. 41%3. 41.67%4. 41.33%

Answer» Correct Answer - Option 3 : 41.67%

Given:

Two numbers are less than the third number by 40% and 65% respectively.

Concepts used:

Percentage by which second number is less than first number = [(First number - second number)/First number × 100]

Calculation:

Let the third number be x.

First number = x – 40% of x

⇒ 60% of x = 0.60x

Second number = x – 65% of x

⇒ 35% of x = 0.35x

First number – Second number = 0.60x – 0.35x

⇒ 0.25x

Percentage by which second number is less than first number = (First number – Second number)/First number] × 100

⇒ (0.25x/0.60x) × 100

⇒ 125/3 %

⇒ 41.67%

∴ Second number is less than the first number by 41.67%.

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