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If 60% of A = 1.2 of B = 25\frac{2}{5}52​ of C, then find A : B : C.
Question

If 60% of A = 1.2 of B = 25\frac{2}{5} of C, then find A : B : C.

A.

3 : 1 : 2


B.

1 : 2 : 3

C.

3 : 2 : 1

D.

2 : 1 : 3

Correct option is D

Given:

60% of A = 1.2 of B=25\frac{2}{5}​ of C

Solution:

60% of A = 1.2 of B

60100\frac{60}{100}​ of A = 1.2 of B

6A = 12B

AB=21\frac{A}{B} = \frac{2}{1}​​

A:B = 2:1

1.2B=25=\frac{2}{5}​ of C

BC=25×1.2\frac{B}{C} = \frac{2}{5 \times 1.2}​​

B:C = 2:6

Equating B in the ratio

A:B =(2:1)×2 (2:1) \times 2​ = 4:2

Then A:B:C = 4 : 2 : 6 = 2 : 1 : 3

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