Join 60,000+ competitive exam aspirants
or with email
Your Cart
SubtotalтВ╣0
TotalтВ╣0
Examoogle тАв User тАв info@examoogle.com тАв EE-2024-8821
Chapter 1 of 12 тАв Page 1 of 248ЁЯФТ Protected PDF тАв Watermarked
Join 60,000+ competitive exam aspirants
Rahul bought a bicycle and spent 150 on accessories. He sold it to Amit at a 20% profit. Amit sold it for 2160, incurring a 10% loss. What was the cost price of the bicycle for Rahul?
2000
1850
2150
2500
1850
Work backwards: Start from 2160, divide by 0.9 to find Amit's CP, then divide by 1.2 to find Rahul's SP, and finally subtract 150.
Accessories cost = 150, Rahul's profit = 20%, Amit's selling price = 2160, Amit's loss = 10%.
CP=1┬▒Rate/100SPтАЛ
Work backwards: Start from 2160, divide by 0.9 to find Amit's CP, then divide by 1.2 to find Rahul's SP, and finally subtract 150.
Students often apply the profit and loss percentages directly to the final selling price in the wrong sequence or forget to subtract the 150 accessories cost from Rahul's total cost.
Find Amit's Cost Price
Amit sold the bicycle for 2160 at a 10% loss. So, his cost price is 2160/0.9=2400.
AmitтАЩs┬аCP=1тИТ0.102160тАЛ=2400
Find Rahul's Selling Price
Since Amit bought the bicycle from Rahul, Amit's CP is Rahul's SP. Rahul sold it at a 20% profit on his cost price C. Thus, 1.2├ЧC=2400.
RahulтАЩs┬аSP=2400
Calculate Rahul's Cost Price
Rahul's total investment was C+150. Selling at 20% profit means 1.2├Ч(C+150)=2400. Solving for C: C+150=2000, so C=1850.
C=1.22400тАЛтИТ150=2000тИТ150=1850
B is correct because the calculated cost price of the bicycle for Rahul is 1850.
This reverse-calculation technique is identical to the method used for 'Successive Percentage Change' problems in Data Interpretation and Compound Interest.