ABC26GN2585 · Profit and Loss

Subject: General Aptitude · Chapter: Profit and Loss · Exam: 2010 · Marks: · Difficulty:

Find the single discount equivalent to a series discount of 10%, 20% and 30%. (S.S.C., 2010)
Answer
Answer (as printed):
Explanation
Let marked price be ₹ 100. $$\begin{aligned} \text { Then, Net S.P. } & =(100-30) \% \text { of }(100-20) \% \text { of }(100-10) \% \text { of } ₹ 100 \\ & =70 \% \text { of } 80 \% \text { of } 90 \% \text { of } ₹ 100 \\ & =₹\left(\frac{70}{100} \times \frac{80}{100} \times \frac{90}{100} \times 100\right)=₹ 50.40 . \end{aligned}$$ $$\text { ∴ } \text { Required discount }=(100-50.40) \%=49.6 \% \text {. }$$

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

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