On Selling a watch at 3/10 of the marked price there is a loss of 16 percent. What will be the ratio of the marked price and cost price of the watch?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is opiton 3 i.e. 14 : 5.
The selling price of the watch = 3/10 of the marked price.
The loss percentage = 16%
Let the marked price of the watch (M.P.) = Rs. 100
So, the selling price of the watch (S.P. )= (3/10) × 100 = Rs. 30
The cost price (C.P.) = [100/(100 - Loss%)] × S.P.
= [100/(100 - 16)] × 30
= (100/84) × 30
= 250/7
So, M.P. : C.P. = 100 : (250/7) = 700 : 250 = 14 : 5
Therefore, the ratio of the marked price and the cost price of the watch is 14 : 5