If X : Y = 3 : 2 then the value of 2x+5y/3x+7y?

Correct Answer is : 162316/232316

Correct Answer is : 162316/232316

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SSC CPO Tier 1 Exam 9 Dec 2025 Shift 1

Section: Quantitative Aptitude

Question : 117 of 200

Marks: +1, -0

\rm \frac{2x+5y}{3x+7y}?

Solution:

Concept:

In ratio problems, we substitute the terms using a common multiplier

k

Explanation:

Given

x : y = 3 : 2

. Let

x = 3k

and

y = 2k

, where

k

is a constant.

Then the expression becomes

\frac{2x+5y}{3x+7y} = \frac{2(3k)+5(2k)}{3(3k)+7(2k)}

Simplify numerator:

6k + 10k = 16k

Simplify denominator:

9k + 14k = 23k

So the fraction is

\frac{16k}{23k} = \frac{16}{23}

(since

k

cancels).

Thus the required value is

\frac{16}{23}

Answer:

Option D:

\frac{16}{23}

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