After giving a discount of 44% a cycle is sold for Rs. 17920. What is the marked price (in Rs.) of the cycle?

Let the marked price of cycle be Rs. x. According to the question, (100 – 44)% of x = Rs.17920 $Rightarrow x imes frac{56}{100}=17920$ $Rightarrow x=$ Rs. $left(frac{17920 imes 100}{56} ight)=$ Rs. 32000

Alternative :

Let M.P. be Rs. 100.

S.P. = (100 – 44)% = 56% = 17920

$100 \%=frac{17920 imes 100}{56}=$ Rs. 32000