A machine is manufactured by assembling two parts A and B. If the price of part A increases by
10 and that of part decreases by 10%, the cost of manufacturing the machine increases by 5%
But if the price of part A decreases by 10% and that of part B increases by 10%, the cost decreases
by Rs 200. Find the prices of the parts.
Answers
Price of Parts are A= 3000 & B = 1000 Rs Machine is manufactured by assembling two parts A and B
Step-by-step explanation:
Let say Cost of Part A = A
& Cost of Part B = B
Cost of Manufacturing Machine = A + B
price of part A increases by 10% and that of part decreases by 10%
and cost of manufacturing the machine increases by 5%
=> A + (10/100)A + B - (10/100)B = (A+B) + (5/100)(A + B)
=> 1.1A + 0.9B = 1.05A + 1.05B
=> 0.5A = 0.15B
=> A = 3B
price of part A decreases by 10% and that of part B increases by 10%, the cost decreases by Rs 200
=> (10/100)A - (10/100)B = 200
=> 0.1A - 0.1B = 200
=> A - B = 2000
=> 3B - B = 2000
=> 2B = 2000
=> B = 1000
A = 3B = 3000
Price of Parts are 3000 & 1000 Rs
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