Ratio of Sumita’s and Kamla’s age is 3:5 respectively. Ratio of Kamla’s and Priya’s age is 2:3 respectively. If Sumita is two-fifth of Priya’s age, what is Sumita’s age?

A 12 years

B 17 years

C 28 years

D Cannot be determined

E None of these

Solution

Correct Answer: Option D

Let Sumita’s age = 3x

Then, Kamla’s age = 5x

Since, Kamla’s age = 5x, then Priya’s age = (3/2) × 5x = 7.5x

Given that Sumita’s age = 0.4 × Priya’s age

∴ 3x = 0.4 × 7.5x

3x = 3x

No meaningful equation can be derived using the given data.

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