A shopkeeper raises the price of a cycle by 5 percent above the market price and charges 12 percent sales tax on the market price. As a result, a customer has to pay Rs. 4680 for the cycle. What is the market price of the cycle?

A) 4000

B) 4200

D) 4500

C) 3950

Let the marked price of a cycle be X.

Then, the raised price = X + 5% of X= X + 5X/100 = 21X/20

Sales tax = 12% of X = 12/100 X = 3/25 X

Therefore, the price payable = 21X/20 + 3X/25 = 105X + 12X/100 = 117X/100

According to the problem we get, 117X/100 = 4680

X = 4680 × 100/117

   = 4000

Therefore, the marked price of the cycle is 4000.