Question

Rohit sold his bicycle at 4% profit. If he sold it for
1224 less, he would have incurred a 30% loss. What
was the price at which Rohit purchased the bicycle?
(1) 6300
(2) 6400 (3) 3600
(4) 5600 (5) 4500​

Answer 1

Given :  Rohit sold his bicycle at 4% profit. If he sold it for 1224 less, he would have incurred a 30% loss.

To Find : the price at which Rohit purchased the bicycle  

(1) 6300

(2) 6400 (3) 3600

(4) 5600 (5) 4500​

Solution:

let say Rohit purchase cycle  =  Rs 100X

4 % profit   = (4/100)100X  = X  Rs

Selling Price = 100X + 4X  = 104X

30% loss.  = (30/100)100X = 30X

Selling Price = 100X - 30X = 70X

104X - 1224 = 70X

=> 34X  = 1224

=> X = 36

=> 100X = 3600

Rohit purchase cycle  =   3600 Rs

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