Question

On selling an exhaust fan for Rs.7350 a man gains 1/6 of its cost price . Find the cost price of the fan.

Answer 1

hello users ....

Question :-On selling an exhaust fan for Rs.7350 a man gains 1/6 of its cost price . Find the cost price of the fan.

Solution :-
the selling price of the fan is =7350
let the C.p of fan is = x 
and the gain on selling the fan= 1/6 th of the C.p is = x/6

now
C.p = S.p - gain = 7350 - x/6
=> x= 7350 -x/6
=>6x=44100 -x     
=>7x= 44100
=> x=44100/7=6300 = cost price of fan 

hence C.P of fan =6300 answer

hope it helps ....


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Answer 2

Hi ,

According to the problem given ,

Selling price of the exhaust fan = S.P = Rs 7350

Let the cost price of the exhaust fan ( C.P ) = Rs x

Gain = 1 / 6 of C.P

= x / 6

we know that ,

Cost price = Selling Price - Gain

x = 7350 - x / 6

x + x / 6 = 7350

( 6x + x ) / 6 = 7350

7x / 6 = 7350

x = 7350 × ( 6 / 7 )

x = 1050 × 6

x = 6300

Therefore ,

Cost price of the exhaust fan = x = Rs6300

I hope this helps you.

:)