If x : y = 4 : 5, then the value of (8x

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Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

If x : y = 4 : 5, then the value of (8x - 6y) : (9x - 7y) is :

Options:

2 : 1

1 : 2

2 : 3

1 : 3

Correct Answer:

2 : 1

Explanation:

x : y = 4 : 5

Let x = 4, y = 5

On putting values, we get,

(8x - 6y) : (9x - 7y) = (8 × 4 - 6 × 5) : (9 × 4 - 7 × 5)

= (32 - 30) : (36 - 35)

= 2 : 1

So, (8x - 6y) ∶ (9x - 7y) = 2 : 1