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
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
Rs. 450 ; Rs. 360
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
Rs. 490 ; Rs. 400
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Rs. 510 ; Rs. 420
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
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=720−300=Rs.420
∴ Cost price of both transistors is Rs.420 and Rs.300.