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Question

A man bought two transistors which cost him Rs. 720. He sold one of them at a loss of 15% and the other at a gain of 19%. If the selling price of both the transistors is same, find the cost price of each.

A
Rs. 420 ; Rs. 300
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B
Rs. 450 ; Rs. 360
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C
Rs. 490 ; Rs. 400
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D
Rs. 510 ; Rs. 420
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Solution

The correct option is C Rs. 420 ; Rs. 300
Let the cost price be x and y.
x+y=720. -------- ( 1 )
Selling price of one Transistor = 85x100 [ Sold at 15% loss]

Selling price of other transistor = 119y100 [ Sold at 19% gain]
85x100=119y100

xy=11985
x=1.4y ----- ( 2 )
1.4y+y=720 [Substitute ( 2 ) in ( 1 )]
2.4y=720
y=Rs.300
x=720300=Rs.420
Cost price of both transistors is Rs.420 and Rs.300.




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