CUET UG 2025 — General Test Quantitative Reasoning

Let cost of 1 pen = ₹$x$x and cost of 1 pencil = ₹$y$y

Rita bought 9 pens and 7 pencils for ₹66:

$9x + 7y = 66$9x+7y=66 ... (1)

Megha bought 5 pens and 11 pencils for ₹58:

$5x + 11y = 58$5x+11y=58 ... (2)

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Multiply equation (1) by 5:

$45x + 35y = 330$45x+35y=330 ... (3)

Multiply equation (2) by 9:

$45x + 99y = 522$45x+99y=522 ... (4)

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Subtract equation (3) from equation (4):

$$45x + 99y = 522$$45x+99y=522

$$45x + 35y = 330$$45x+35y=330

$$64y = 192$$64y=192

$$y = \dfrac{192}{64}$$y=64192​

$$y = 3$$y=3

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Cost of 1 pencil = ₹3

Cost of 3 pencils = $3 \times 3$3×3

Cost of 3 pencils = ₹9