Question

. A person sells a machine for Rs 4,000 and loses some thing. Had he sold it for Rs5,000 his gain
would have been 2/3 of the former loss; find the cost price of the machine.
(Ans. 4,600]​

Answer 1

Answer: Rs.6200

Step-by-step explanation:

• Given, SP=Rs.4000.
• Let the loss be Rs.x.
• We know Loss=CP-SP

                     ⇒ x=CP-4000    eq(1)

• If he sells the machine at Rs.5000 i.e., SP=Rs.5000 then he would have gained 2/3 of the previous loss.
• According to question,

        gain=SP-CP

    ⇒$\frac{2}{3}(x-4000)=5000-CP$

   ⇒$\frac{2}{3}(CP-4000-4000)=5000-CP$

   ⇒$2(CP-8000)=3(5000-CP)$

   ⇒2CP-16000=15000-3CP

   ⇒2CP+3CP=15000+16000

   ⇒5CP=31000

   ⇒CP=$\frac{31000}{5}$

  ∴ CP=Rs.6200

• Hence,the cost price of the machine is Rs.6200.