A man bought a dog and a cat for Rs. 6500. He sold the dog at a gain of 20% and cat at a loss of 10%, thereby gaining 2% on the whole. Then the cost of the dog is:
- 2010
- 2600
- 2540
- 3060
- 2920
Explanation
Let the cost price of the dog be Rs. X
∴ the cost price of the cat = Rs. (6500 – X)
The man sold the dog at a gain of 20%
∴ Gain in selling the dog = 20% of X = 0.2X
Also, the man sold the cat at a loss of 10%
∴ loss in selling the cat = 10% of (6500 – X) = 0.1 × (6500 – X) = 650 – 0.1X
He gained 2% in the overall.
∴ Gain in overall transaction = 2% of 6500 = 130
∴ 130 = 0.2X – (650 – 0.1X)
0.3X = 130 + 650 = 780
X = 780/0.3 = 2600
Related MCQs
- 20%
- 25%
- 30%
- 15%
اس سوال کو وضاحت کے ساتھ پڑھیں
- Rs. 1,100.00
- Rs. 1,121.50
- Rs. 1,150.00
- Rs. 1,284.00
اس سوال کو وضاحت کے ساتھ پڑھیں
- 15%
- 20%
- 22%
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- 25228
- 26228
- 27228
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
- Rs. 500
- Rs. 5,000
- Rs. 0
- None of these
اس سوال کو وضاحت کے ساتھ پڑھیں
