If decreasing 110 by x% gives the same result as increasing 50 by x%,

1.	If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage more than (x + 20)% of 180?(correct to the nearest integer)1. 90%2. 80%3. 136%4. 154%
Answer» Correct Answer - Option 3 : 136% Given: Decreasing 110 by x% gives the same result as increasing 50 by x% Concept Used: Concept of percentage, it is calculated on the basis of 100 For example, x% means x out of 100 Calculation: (100 - x) × (110/100) = (100 + x) × (50/100) ⇒ 1100 - 11x = 500 + 5x ⇒ 16x = 600 ⇒ x = 75/2 Now, (75/2)% of 650 = 243.75 (75/2 + 20)% of 180 = 103.5 % more than {(243.75 - 103.5)/103.5} × 100% ⇒ 135.5% ⇒ 136% (correct to the nearest integer) ∴ The required percentage is 136%

If decreasing 110 by x% gives the same result as increasing 50 by x%, then x% of 650 is what percentage more than (x + 20)% of 180?(correct to the nearest integer)1. 90%2. 80%3. 136%4. 154%

Answer» Correct Answer - Option 3 : 136%

Given:

Decreasing 110 by x% gives the same result as increasing 50 by x%

Concept Used:

Concept of percentage, it is calculated on the basis of 100

For example, x% means x out of 100

Calculation:

(100 - x) × (110/100) = (100 + x) × (50/100)

⇒ 1100 - 11x = 500 + 5x

⇒ 16x = 600

⇒ x = 75/2

Now, (75/2)% of 650 = 243.75

(75/2 + 20)% of 180 = 103.5

% more than {(243.75 - 103.5)/103.5} × 100%

⇒ 135.5%

⇒ 136% (correct to the nearest integer)

∴ The required percentage is 136%

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