A man sold a bicycle at 5% profit. If the cost had been 30% less and the selling price Rs.63 less, he would have made a profit of 30%. What was the cost price of the bicycle ?
Let C.P. of the bicycle = Rs. 100
In the I case :
When Profit = 5%;
S.P. = Rs. (100+5) = Rs.105
In the II case :
C.P.= (100−30100×100)
= Rs. (100 - 30) = Rs. 70
Profit = 30%
S.P. = (100+Profit)100×C.P.
= (100+30)100×Rs.70=130100×Rs.70
= Rs. 130×70100=Rs.91
Difference of two selling prices
= Rs. 105-Rs.91 = Rs.14
If difference is Rs. 14 then C.P. of the bicycle
= Rs. 100
Re.1 = Rs.10014
Rs.63 = Rs. 10014×63
= Rs. 100×6314=Rs.50×9=Rs.450