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How much discount should be given on an article marked 50% higher than selling price to earn 20% profit?
- A16.66%
- B20%
- C15%
- D\(33\frac{1}{3}\%\)
Answer not set
Discussion 1
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CCommunity
Let CP of the article = Rs x
∴ SP of the article = 120x/100 = 6x/5
∴ MP of the article = 6x/5 × 150/100 = 9x/5
∴ Percentage of the discount $(= \;\frac{{\frac{{9x}}{5}\; - \;\frac{{6x}}{5}}}{{\frac{9}{5}x}}\; \times \;100\; = \;\frac{{\frac{3}{5}x}}{{\frac{9}{5}x}}\; \times \;100\; = \;33\frac{1}{3}\% )$
Short trick:
Let CP of the article = Rs 100
CP SP MP
100 120 180
Discount % $(= \;\frac{{180 - 120}}{{180}}\; \times \;100\; = \;33\frac{1}{3}\%)$
∴ SP of the article = 120x/100 = 6x/5
∴ MP of the article = 6x/5 × 150/100 = 9x/5
∴ Percentage of the discount $(= \;\frac{{\frac{{9x}}{5}\; - \;\frac{{6x}}{5}}}{{\frac{9}{5}x}}\; \times \;100\; = \;\frac{{\frac{3}{5}x}}{{\frac{9}{5}x}}\; \times \;100\; = \;33\frac{1}{3}\% )$
Short trick:
Let CP of the article = Rs 100
CP SP MP
100 120 180
Discount % $(= \;\frac{{180 - 120}}{{180}}\; \times \;100\; = \;33\frac{1}{3}\%)$