Successive discounts of 10%, 12% and 15% amount to a single discount of · ABC26GN2800

Subject: General Aptitude · Chapter: Profit and Loss · Exam: R.R.B., 2009; S.S.C. 2008

Successive discounts of 10\%, 12\% and 15\% amount to a single discount of
(a)32.68\%
(b)35.28\%
(c)36.68\%
(d)None of these
Answer
Answer (as printed): A
Explanation
Let marked price be ₹ 100. Then, S.P. $=85 \%$ of 88\% of 90\% of ₹ 100 $$=₹\left(\frac{85}{100} \times \frac{88}{100} \times \frac{90}{100} \times 100\right)=₹ 67.32 .$$ ∴ Single discount $=(100-67.32) \%=32.68 \%$.

Explanation as extracted from the printed page; notation may be imperfect.

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