Question

a man purchased a machine for rs.7660 and allows a discount of 12% and still earns 10% . what will be marked price of machine

Answer 1

Cost price of the machine = Rs 7660, Gain% = 10%. 

Therefore, selling price = [{(100 + gain%)/100} × CP] 

                                     = Rs [{(100 + 10)/100} × 7660] 

                                     = Rs [(110/100) × 7660] 

                                     = Rs 8426. 

Let the marked price be Rs x. 

Then, the discount = 12% of Rs x

                               = Rs {x × (12/100)} 

                               = Rs 3x/25 

Therefore, SP = (Marked Price) - (discount) 

                       = Rs (x - 3x/25) 

                       = Rs 22x/25. 

But, the SP = Rs 8426. 

Therefore, 22x/25 = 8426 

⇒ x = (8426 × 25/22) 

⇒ x = 9575. 

Hence, the marked price of the washing machine is Rs 9575. 

Answer 2

I have given the complete answer in the pic.