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Question
A shopkeeper earns a profit of 10% after allowing a discount of 20% on the marked price. The cost price of the article whose marked price is Rs.880, is
Options:
A .  Rs.680
B .  Rs.774
C .  Rs.704
D .  Rs.640
Answer: Option D
Answer: (d)SP of article= (100 - 20)% of 880= 80%of 880= 880 × $80/100$ = Rs.704Let CP be xAgain, 110% of x = 704x = $704/110 × 100$ = Rs.640Original cost = Rs.640Using Rule 6,Here, r = 10%, D = 20%, M.P. = Rs.880, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$880/\text"C.P." = {100 + 10}/{100 - 20}$C.P. = ${880 × 80}/110$C.P. = Rs.640

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