Question 3.
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 is the cost price of the bicycle?
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Answer:
the cost price of the bicycle is Rs. 18
Step-by-step explanation:
let the cost price be x
if cost price is 30% less then the cost price is x/100*(100-30)= x/100*70=7x/10
the profit % was=5%
so selling price= x/100*(100+5)= x/100*105= 21x/20
now the profit%= 30%
so the selling price= 7x/10*(100+30)= 7x/10*130= 91x
91x=21x/20-63
91x - 21x/20= 63
3.5x= 63
x= 63/3.5
x= 18
so the cost price is Rs. 18
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