If 30 % of A = 0.25 of B = 0.2 of C, then find A : B : C ? Option 1: 3 : 6 : 10 Option 2: 10 : 12 : 15 Option 3: 3 : 5 : 10 Option 4: 10 : 6 : 3

Answer: 10 : 12 : 15. Solution: Let 0.3A = 0.25B = 0.2C = k. Then A = k/0.3, B = k/0.25, C = k/0.2, so A:B:C = 1/0.3 : 1/0.25 : 1/0.2 = 10/3 : 4 : 5. Multiplying by 3 gives 10 : 12 : 15.

Arithmetic

Ratio, Proportion & Variation

Easy

If 30 % of A = 0.25 of B = 0.2 of C, then find A : B : C ?

3 : 6 : 10

10 : 12 : 15

3 : 5 : 10

10 : 6 : 3

✅ Correct Option: 2

Let $0.3A = 0.25B = 0.2C = k$ .

Then $A = k/0.3$ , $B = k/0.25$ , $C = k/0.2$ , so $A:B:C = \dfrac{1}{0.3} : \dfrac{1}{0.25} : \dfrac{1}{0.2} = \dfrac{10}{3} : 4 : 5$ .

Multiplying by 3 gives $10 : 12 : 15$ .

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