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Arvind bought an article for тВ╣x. He sold it to Biru at a loss of 30%. Biru spent тВ╣130 on its transportation and sold it to Minu at a profit of 50%. If Minu bought it for тВ╣1,287, then what is the value of x?
1,022
1,044
1,040
1,072 Question ID : 441009537821 Option 1 ID : 4410092106682 Option 2 ID : 4410092106681 Option 3 ID : 4410092106680 Option 4 ID : 4410092106683 Status : Answered Chosen Option : C
1,040
Work backward from 1287: Divide by 1.5 to get Biru's total cost, subtract 130 to get his purchase price, then divide by 0.7 to reach x.
Cost price for Arvind = x. Loss to Biru = 30%. Transportation cost = 130. Profit to Minu = 50%. Selling price to Minu = 1287.
SPfinalтАЛ=((CP├Ч(1тИТLoss%))+Trans)├Ч(1+Profit%)
Work backward from 1287: Divide by 1.5 to get Biru's total cost, subtract 130 to get his purchase price, then divide by 0.7 to reach x.
Many students subtract the transportation cost after calculating profit or add it to the final selling price instead of the intermediate cost.
Calculate Biru's Total Cost
Since Minu bought the article for 1287 at a 50% profit, we divide by 1.5 to find Biru's total cost price (including transport).
1.51287тАЛ=858
Find Biru's Purchase Price
Subtract the transportation cost of 130 from Biru's total cost to find the price he paid to Arvind.
858тИТ130=728
Calculate Arvind's Original Cost x
Since Biru bought it at a 30% loss from Arvind, the price 728 represents 70% of x. So, x=728/0.7.
x=0.7728тАЛ=1040
C is correct because reversing the transactions step-by-step leads to an initial cost price of 1040.
This backward-calculation method is highly effective for problems involving multiple intermediaries, similar to questions on 'Successive Percentage Changes' in Quantitative Aptitude.
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