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SSC CPO 2024 PYQ — Question 118

SSC CPO - 29 June 2024 - Shift 1 • Quantitative Aptitude • Q118

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A shopkeeper wanted to sell ₹2,000 worth of products. But he had two options, giving three successive discounts of 10% each or giving a single discount of 28%. What was the difference between the two options of discounts (in rupees)?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 18.

Given that, MP = ₹2,000

SP = MP × 100−D100{100 - D}\over 100

According to the given question, 

SP in first option = 2000×(100−10)100×(100−10)100×(100−10)1002000 \times {(100 - 10)\over 100} \times {(100 - 10) \over 100} \times {(100 - 10)\over 100}

⇒ 2000×90100×90100×901002000 \times {90\over 100} \times {90 \over 100} \times {90\over 100}

⇒ 1458

And, SP in second option = 2000×(100−28)1002000 \times {(100 - 28)\over 100}

⇒ 2000×721002000 \times {72\over 100}

⇒ 1440

Now, required difference = 1458 - 1440 = 18

Hence the difference between the two options of discounts (in rupees) is 18.