Multiple choice

The ratio of profit and loss occured on selling an article for Rs.860 and Rs.750 is 6 : 5 respectively. In another situation the ratio of the profit and loss on the same cost price is 10 : 7, then what will be the ratio of their selling prices, if sum of profit and loss is Rs.68?

  1. $110 : 113$
  2. $200 : 193$
  3. $210 : 193$
  4. $183 : 193$
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

First, find CP using SP1=860 (profit) and SP2=750 (loss) with profit:loss = 6:5. (860-CP)/(CP-750) = 6/5 gives CP = 800. First profit = 60, loss = 50. Second situation: profit:loss = 10:7 with sum = 68, so profit = 40, loss = 28. SP1' = 800+40 = 840, SP2' = 800-28 = 772. Ratio = 840:772 = 210:193.