Question

Akhil sold two T.V s for Rs 9900 each, gaining 10% on one and losing 10% on other what will he incur profit or loss ? give reasons.

Answer 1

Answer:

Net selling price is more than Net cost price so Akhil will incur loss of Rs.200.

Step-by-step explanation:

Cost of one TV set  = Rs 9900

Case 1 :   when sold for gain % = 10%

 Selling price = Rs.9900

$CP = \frac{100}{100+gain\%} \times SP$

$CP = \frac{100}{100+10} \times 9900$

$CP = \frac{100}{110} \times 9900$

$CP = 9000$

So, Gain = SP - CP

              = 9900 -9000

    Gain = Rs.900

Case 1 :   when sold for loss % = 10%

 Selling price = Rs.9900

$CP = \frac{100}{100-loss\%} \times SP$

$CP = \frac{100}{100-10} \times 9900$

$CP = \frac{100}{90} \times 9900$

$CP = 11000$

So, Loss = CP - SP

              = 11000 -9900

    Loss = Rs.1100

Total cost price of two TV = 9000 + 11000 = 20000

Total Selling price of two TV =9900+9900 = 19800

Loss = CP - SP

        = 20000 - 19800

         =200

Since, selling price is more than cost price , Akhil will incur loss of Rs.200.