Question

If X:Y = 5:3, what percentage of 3X IS X (3X + 4Y)?

Answer 1

Explanation:

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Answer 2

Given:

X : Y = 5 : 3

We have to find the percentage of 3X in X(3X + 4Y).

Solution:

X : Y = 5 : 3

Here, X = 5, Y = 3

∴ 3X = 3(5) = 15 and

X(3X + 4Y) = 5(3 × 5 + 4 × 3)

= 5(27) = 135

∴ The required percentage of 3X in X(3X + 4Y)

= $\dfrac{3X}{X(3X + 4Y)}$ × 100

= $\dfrac{15}{135}$ × 100

= $\dfrac{100}{9}$

= $11\dfrac{1}{9}$ % or, 11.11 %

Thus, the required percentage of 3X in X(3X + 4Y) is " $11\dfrac{1}{9}$ % or, 11.11 %".