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SSC CGL 2024 PYQ — Question 56

SSC CGL - 13 Sep 2024 - Shift 3 • Quantitative Aptitude • Q56

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P and Q are two fixed points 10 cm apart, and R is a point on PQ such that PR = 6 cm. By what percentage is the length of QR decreased when the length of PR is increased by 5%?

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Correct answer: B

Explanation

The correct answer is option 2 i.e. 7.5%.

QR = PQ - PR = 10 - 6 = 4 cm

After 5% increase in PR, the new length of PR = 105% of 6 = 6.3 cm

Now, the new length of the QR = PQ - PR = 10 - 6.3 = 3.7 cm

Percentage decrease in QR = Decrease in QR/Original length of QR = 4−3.74×100\frac{4-3.7}{4}\times100

= 0.3 × 25 = 7.5%