JIPMAT 2025 (QA) - P's income is ₹ 140 more than Q's income and R's income is ₹ 80 more than S's. If the ratio of P's and R's incomes is 2:3 and the ratio of Q's and S's incomes is 1:2, then the incomes of P, Q, R and S are, respectively: | PYQs + Solutions

JIPMAT 2025

Arithmetic

Ratio, Proportion & Variation

Medium

P's income is ₹ 140 more than Q's income and R's income is ₹ 80 more than S's. If the ratio of P's and R's incomes is 2:3 and the ratio of Q's and S's incomes is 1:2, then the incomes of P, Q, R and S are, respectively:

₹ 260, ₹ 120, ₹ 320 and ₹ 240

₹ 300, ₹ 160, ₹ 600 and ₹ 520

₹ 400, ₹ 260, ₹ 600 and ₹ 520

₹ 320, ₹ 180, ₹ 480 and ₹ 360

✅ Correct Option: 3

Let the incomes of P, Q, R, and S be ₹

p, q,r, s

respectively.

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Thus,

\newline

p=q+140 \rightarrow q = p -140

\newline

r = s +80

\newline

\frac{p}{r} = \frac{2}{3} \rightarrow r = \frac{3p}{2}

\newline

\frac{q}{s} = \frac{1}{2} \rightarrow s = 2p - 280

We know,

r = s + 80

\newline

\frac{3p}{2} = 2p - 280 + 80

\newline

3p = 4p - 400

\newline

p =400

There is only one option for the income of P as ₹400.

\newline

Hence, the correct option is Option 3.

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JIPMAT 2025 (QA) PYQs

P's income is ₹ 140 more than Q's income and R's income is ₹ 80 more than S's. If the ratio of P's and R's incomes is 2:3 and the ratio of Q's and S's incomes is 1:2, then the incomes of P, Q, R and S are, respectively:

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