SOLUTION: during a period of acute shortage of raw materials, the prices of some manufactured goods were raised by 25% . After the shortages were over. prices were lowered by 15%. If the ori

Algebra ->  Equations -> SOLUTION: during a period of acute shortage of raw materials, the prices of some manufactured goods were raised by 25% . After the shortages were over. prices were lowered by 15%. If the ori      Log On


   

Question 191303: during a period of acute shortage of raw materials, the prices of some manufactured goods were raised by 25% . After the shortages were over. prices were lowered by 15%. If the original price of an article was Rs 56 , finds its price after the shortages were over . Would it have been cheaper if its price had been raised byh 8% at the beginning of the shortages and left uncharged at the end ?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Let us bisect the two situations,

During shortage:
Let x = original price = 56 Rs
x%2B0.56x, raised by 25%
56%2B0.25%2856%29
56%2B14
70 Rs becomes x%5B1%5D


After Shortage
Let x%5B1%5D-0.15%28x%5B1%5D%29= new price, lowered by 15%
70-0.15%2870%29
70-10.5
59.50 Rs, (Answer)


*If Original Price was increase only by 8% at the beginning of shortage:

56%2B0.08%2856%29
56%2B4.48
60.48 Rs, a little bit higher, almost 1 Rs more.


*Conclusion, having increased by 25% and lowering thereafter by 15% has a cheaper price.


Thank you,
Jojo