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Question
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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Solution
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. =`(100-30/100xx100)`
= Rs.(100 − 30) = Rs.70
Profit = 30%
S.P. =`((100+"Profit"))/100xx"C.P."`
`=((100+30))/100xx"Rs."70`
`=130/100xx"Rs."70`
= Rs. `(130xx70)/100`
= Rs.91
A difference of two selling prices
= Rs.105 − Rs.91 = Rs.14
If the difference is Rs.14 then C.P. of the bicycle = Rs.100
If the difference is Rs.1 then C.P. of the bicycle = Rs.` 100/14`
If the difference is Rs.63 then C.P. of the bicycle = Rs. `100/14xx63`
= Rs.`(100xx63)/14`
= Rs.50 × 9
= Rs.450
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