# 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? - Mathematics

Sum

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?

#### 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

Concept: To Find C.P., When S.P. and Gain (Or Loss) Percent Are Given
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 8 Profit, Loss and Discount
Exercise 8 (C) | Q 10 | Page 95