ICSE-VIII-Mathematics
08: Profit, Loss and Discount Class 8 Maths
- #10A 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?Ans : 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 - 30/100 × 100)
= Rs. (100 - 30)
= Rs. 70
Profit = 30%
S.P. = (100 + Profit)/100 × C.P.
= (100 + 30)/100 × Rs. 70
= 130/100 × Rs. 70
dlt2242997330673006213">= Rs. (130 × 70)/100
= 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
If difference is Re. 1 then C.P. of the bicycle = Rs. 100/14
If difference is Rs. 63 then C.P. of the bicycle = Rs. 100/14 × 63
= Rs. (100 × 63)/14
= Rs. 50 × 9
= Rs. 450