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09 Mar 2025, 14:43
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The price of a laptop is first discounted by 15%, and then the reduced price is further discounted by 10%. This series of successive discounts is equivalent to a single discount of:
(A) 25%
(B) 23.5%
(C) 23%
(D) 22%
(E) 21.5%
(A) 25%
(B) 23.5%
(C) 23%
(D) 22%
(E) 21.5%
09 Mar 2025, 15:52
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Since there's no specific price to use, start with 1 and use fractions.
85% = 85/100
90% = 9/10
15% discount: 1 * 85/100 = 85/100 = 17/20
10% discount: 17/20 * 9/10 = 153/2 = 76.5%
100% - 76.5% = 23.5%
B
85% = 85/100
90% = 9/10
15% discount: 1 * 85/100 = 85/100 = 17/20
10% discount: 17/20 * 9/10 = 153/2 = 76.5%
100% - 76.5% = 23.5%
B
09 Mar 2025, 18:47
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The above approach is a perfect one, But you can also remember this formula to solve pblms quickly.
Let's say change is x%, y% so the effective change will be x+y+xy/100.
So here -15% , -10%, So -25+150/100 => -25+1.5=> -23.5 (-ve indicates discount or depreciation)
Hence -23.5.
You can also derive this formula to strengthen your understanding. I'm not a fan of formulas but when you derive it, You will know both the concept behind it and the formula.
Let's say change is x%, y% so the effective change will be x+y+xy/100.
So here -15% , -10%, So -25+150/100 => -25+1.5=> -23.5 (-ve indicates discount or depreciation)
Hence -23.5.
You can also derive this formula to strengthen your understanding. I'm not a fan of formulas but when you derive it, You will know both the concept behind it and the formula.
