Question

If 10 % of (p+q)=50% of (p-q),then P:q=?

Answer 1

$\textbf {Hey there, here is the solution.}$

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STEP 1: Form the equation:

10 % of (p+q)=50% of (p-q)

⇒ 0.1(p + q) = 0.5(p - q)

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STEP 2: Simplify the equation:

0.1(p + q) = 0.5(p - q)

Distribute 0.1 and 0.5:

0.1p + 0.1q = 0.5p - 0.5q

Rearrange: p on the LHS and q on the RHS:

0.5p - 0.1p = 0.5q + 0.1q

Combine like terms:

0.4p = 0.6q

Multiply by 10 through:

4p = 6q

Divide by 2 through:

2p = 3q

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STEP 3: Find the ratio:

4p = 6q

⇒ ratio of p : q = 3 : 2

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Answer: The ratio is 3:2

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$\textbf {Cheers}$