Discussion Forum : True Discount
Question - By giving a discount of 10% on the marked price of Rs.1100 of a cycle, a dealer gains 10%. The cost price of the cycle is :
Options:
A .  Rs.891
B .  Rs.1089
C .  Rs.1100
D .  Rs.900
Answer: Option D
Answer: (d)Selling Price= Rs.(1100 - 10% of 1100)= Rs.(1100 - 110) = Rs.990Let the cost price = xx + 10% of x = 990${11x}/10$ = 990$x = {990 × 10}/11$ = Rs.900Using Rule 6,Here, r = 10%, D = 10%, M.P. = Rs.1100, C.P. = ?$\text"MP"/\text"CP" = {100 + r}/{100 - D}$$1100/\text"CP" = {100 + 10}/{100 - 10}$C.P. = ${1100 × 90}/110$ = Rs.900

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