E is 25% greater than B. The ratio of the A and B is 5:7 and D is 18 greater than C which is 60% of A. The ratio of C and D is 4:7. What is the value of E?

Given below are steps involved in the solution. Arrange them in sequential order. 

(A) C = 4 × 6 = 24

(B) B = (7/5) × 40 = 56

(C) Let C and D be 4k and 7k respectively

(D) E = (125/100) × 56 = 70

(E) D - C = 18 => 7k - 4k = 18 => k = 6

(F) A = (100/60) × 24 = 40

This question was previously asked in
MP Excise Constable Official paper (Held On: 20 Feb 2023 Shift 3)
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  1. CEAFBD
  2. CAFEDB 
  3. EFACDB
  4. CFEADB

Answer (Detailed Solution Below)

Option 1 : CEAFBD
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Detailed Solution

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Given:

E is 25% greater than B.

A : B = 5 : 7

D is 18 greater than C.

C = 60% of A

C : D = 4 : 7

Formula Used:

Percentage increase: New Value = Original Value × (1 + Percentage/100)

Calculations:

Sequential order of steps: C, E, A, B, F, D

(C) Let C and D be 4k and 7k respectively

(E) D - C = 18 ⇒ 7k - 4k = 18 ⇒ 3k = 18 ⇒ k = 6

(A) C = 4 × 6 = 24

(F) A = (100/60) × 24 = 40

(B) B = (7/5) × 40 = 56

(D) E = (125/100) × 56 = 1.25 × 56 = 70

The correct sequence is: CEAFBD.

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