A is 20% more than B, B is 25% more than C, C is 50% less than D and D

1.	A is 20% more than B, B is 25% more than C, C is 50% less than D and D is 10% more than E. Which of the following is true?1. A is 17.5% less than E2. D is 30% less than B3. A is 40% less than D4. C is 24% less than A
Answer» Correct Answer - Option 1 : A is 17.5% less than E Given: A is 20% more than B, B is 25% more than C, C is 50% less than D and D is 10% more than E. Concept used: Ratio and proportion Calculation: A is 20% more than B ⇒ A : B = 6 : 5 B is 25% more than C ⇒ B : C = 5 : 4 C is 50% less than D ⇒ C : D = 1 : 2 D is 10% more than E ⇒ D : E = 11 : 10 Combining all the ratios A : B : C : D : E = 330 : 275 : 220 : 440 : 400 Now going through all the options A : E = 330 : 400 A is less than E by 70 Percentage = \(\frac{{70}}{{400}} \times 100 = 17.5\% \) Option A is true.

A is 20% more than B, B is 25% more than C, C is 50% less than D and D is 10% more than E. Which of the following is true?1. A is 17.5% less than E2. D is 30% less than B3. A is 40% less than D4. C is 24% less than A

Answer» Correct Answer - Option 1 : A is 17.5% less than E

Given:

A is 20% more than B, B is 25% more than C, C is 50% less than D and D is 10% more than E.

Concept used:

Ratio and proportion

Calculation:

A is 20% more than B

⇒ A : B = 6 : 5

B is 25% more than C

⇒ B : C = 5 : 4

C is 50% less than D

⇒ C : D = 1 : 2

D is 10% more than E

⇒ D : E = 11 : 10

Combining all the ratios

A : B : C : D : E = 330 : 275 : 220 : 440 : 400

Now going through all the options

A : E = 330 : 400

A is less than E by 70

Percentage = \(\frac{{70}}{{400}} \times 100 = 17.5\% \)

Option A is true.

Discussion

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