Q. An article listed at 800 Rs. is sold at successive discounts of 25% and 15%. The buyer desires to sell it off at a profit of 20% after allowing a 10% discount. What would be his list price?
Answer: 680 Rs
Notes: Effective discount $latex = 25+15-\frac{25\times 15}{100}&s=1$ $latex = 40-3.75 = 36.25\%$ ∴ CP = (100 - 36.25)% of 800 $latex = \frac{63.75\times 800}{100} = 510\ Rs.&s=1$ ∴ To gain 20%, $latex SP = \left ( \frac{120\times 510}{100} \right ) = 612\ Rs.&s=1$ Let the list price be x Rs. ∴ 90% of x = 612 Rs. $latex => \frac{90x}{100} = 612&s=1$ $latex x = \frac{61200}{90} = 680\ Rs.&s=1$ Hence option [D] is correct answer

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