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SSC Selection Post 2022 PYQ — Question 54

SSC Selection Post - Matriculation Level 2022 - 2 Feb 2022 - Shift 2 • Quantitative Aptitude • Q54

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If x% of 190 is 15 less than (x+10)% of 180, then (x+30)% of 90% is what percent more than x% of 150?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 20%.

x100×190=x+10100×180−15\frac{x}{100} \times 190 = \frac{x+10}{100} \times 180 - 15

190x = 180(x + 10) - 1500

190x = 180x + 1800 - 1500 = 180x + 300

190x - 180x = 300

10x = 300

x = 30

(x+30)% of 90%=60% of 90=60100×90=54(x + 30)\% \text{ of } 90\% = 60\% \text{ of } 90 = \frac{60}{100} \times 90 = 54

x% of 150=30% of 150=30100×150=45x\% \text{ of } 150 = 30\% \text{ of } 150 = \frac{30}{100} \times150 = 45

Percentage increase = 54−4545×100=945×100=20%\frac{54 - 45}{45} \times 100 = \frac{9}{45} \times 100 = 20\%