A person sold two cows each for Rs. 9900. If he gained 10% on one and lost 20% on the other

A person sold two cows each for Rs. 9900. If he gained 10% on one and lost 20% on the other
Posted on 23-03-2023

Question - A person sold two cows each for Rs. 9900. If he gained 10% on one and lost 20% on the other, then which of the following is true?

(a) He gained Rs. 200

(b) He lost Rs. 200

(c) He neither gained nor lost

(d) none of the above

Solution  - 

SP of first cow = 9900

If he gained 10%.

CP = (SP × 100) / (100 + gain %)

CP = (990000) / (110)

CP of first cow = Rs.9000

Profit = SP - CP

Profit = 9900 - 9000

Profit = 900

Similarly,

SP of second cow = 9900

If he lost 20%.

CP = (SP × 100) / (100 + loss %)

CP = (990000) / (80)

CP = 12375

CP of second cow = Rs. 12375

Loss = CP - SP

Loss = 12375 - 9900

Loss = 2475

So,

The net loss = 2475 - 900

= 1575

Hence,

The correct answer is option (d) none of the above.

Thank You