A shopkeeper allows 23% commission on his advertised price and still makes a pro

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A shopkeeper allows 23% commission on his advertised price and still makes a profit of 10%. If he gains Rs.56 on one item, his advertised price of the item, (in Rs.) is

Options:

A . 820

B . 790

C . 800

D . 780

Answer: Option C
Answer: (c)Let the advertised price be x.S.P. = ${77x}/100$C.P. = $({77x}/100 - 56)$${77x - 5600}/100 × 110/100 = {77x}/100$${77x - 5600}/100 = {77x}/110 = {7x}/10$77x - 5600 = 70x7x = 5600 ⇒ x = Rs.800

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