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SSC CGL 2024 PYQ — Question 66

SSC CGL - 10 Sep 2024 - Shift 1 • Quantitative Aptitude • Q66

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If, on a marked price, the difference between selling prices with a discount of 65% and with two successive discounts of 30% and 40% is ₹105, then the marked price (in ₹) is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 1,500.

Let the marked price = 100

SP1 = selling prices with a discount of 65% = 100−65100×100\frac{100-65}{100}\times100 = 35

Selling price for two successive discounts =MP×(100−D1)100×(100−D2)100= {{MP \times {(100 - D_1) \over 100}}\times {(100 - D_2) \over 100}}

⇒ SP2 = 100×(100−30)100×(100−40)100 {{100 \times {(100 - 30) \over 100}}\times {(100 - 40) \over 100}} = 42

⇒ SP2 - SP1 = 105

⇒ 42 - 35 = 105

⇒ 7 = 105

Now, Marked Price = 100 × (105/7) = 1500