plz ans this question fast ..... in conventional way with short cut method
Answers
Answer:
(B) 13 : 15 : 20
Step-by-step explanation:
METHOD 1: (BRIEF METHOD)
Ratio of A : B : C = 5 : 6 : 8
A increased by 30%, B increased by 25% and C increased by 25%
New ratio of A : B : C = 1.3(5) : 1.25(6) :1.25(8)
New ratio of A : B : C = 6.5 : 7.5 : 10
Simplify by multiplying by 2:
New ratio of A : B : C = 6.5 x 2 : 7.5 x 2 : 10 x 2
New ratio of A : B : C = 13 : 15 : 20
Answer: (B) 13 : 15 : 20
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METHOD 2: (DETAILED METHOD)
Ratio of A : B : C = 5 : 6 : 8
Define x:
let x be the ratio constant
Ratio of A : B : C = 5x : 6x : 8x
Find the new ratio of A:
30% of 5x = 0.3(5x) = 1.5x
New A = 5x + 1.5x = 5.5x
Find the new ratio of B:
25% of 6x = 0.25(6x) = 1.5x
New B = 6x + 1.5x = 7.5x
Find the new ratio of C:
25% of 8x = 0.25(8x) = 2x
New C = 8x + 2x = 10x
Find the new ratio:
A : B : C = 6.5x : 7.5x 10x
(Multiply by 10)
A : B : C = 65x : 75x 100x
(Divide by 5x)
A : B : C = 13 : 15 : 20
Answer: (B) 13 : 15 : 20