ICSE-VIII-Mathematics
08: Profit, Loss and Discount Class 8 Maths
- #11Renu sold an article at a loss of 8 percent. Had she bought it at 10% less and sold for Rs.36 more; she would have gained 20%. Find the cost price of the article.Ans : Let C.P. of the article = Rs. 100
In the I case : When loss = 8%
S.P. = Rs. (100 - 8)
= Rs. 92
In the II case: C.P. = Rs. (100 - 10/100 × 100)
= Rs. (100 - 10)
= Rs. 90
Profit = 20%
S.P. = (100 + 20)/100 × C.P.
= 120/100 × Rs. 90
= Rs. 12 × 9
= Rs. 108
Difference of two selling prices = Rs. 108 - Rs. 92
= Rs. 16
If the difference of two selling prices is Rs. 16 then C.P. = Rs 100
If the difference of two selling prices is Re. 1 then C.P. = Rs 100/16
If the difference of two selling prices is Rs. 36 then C.P. = Rs 100/16 × 36
= Rs. (100 × 36)/16
= Rs. 25 × 9
= Rs. 225