A merchant bought a dog and a sheep for Rs.4500. He made 20% gain from dog and 5% gain from sheep. What is the price of the dog if he made 17.5% gain?
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Answer:
≈ Rs. 2885
Step-by-step explanation:
Money spent- Rs 4500
Cost of dog: x
Cost of sheep: Rs. 4500 -x
1. Gain from dog- 20% ⇒ x*0.2= 0.2x
2. Gain from sheep- 5%⇒ (4500-x)*0.05= 225- 0.05x
3. Overall gain- 17.5% ⇒ 17.5= 4500*0.175=Rs. 787.5
We need to add 1. to 2. to get 3. as overall gain is sum of parts:
- 0.2x-0.05x+225=787.5
- 0.195x=787.5-225
- 0.195x= 562.5
- x= 562.5/0.195
- x≈2885
So price of the dog ≈ Rs. 2885
Hope it helps
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