If the profit on selling a commodity for Rs. 1420 is equal to three times the loss on selling it for Rs. 860, then find the cost price of the article.
यदि किसी वस्तु को 1420 रुपये में बेचने पर लाभ, उसे 860 रुपये में बेचने पर होने वाली हानि का तीन गुना है, तो उस वस्तु का क्रय मूल्य ज्ञात कीजिए।
Explanation
Let the cost price be x.
- Profit when sold at Rs. 1420 = 1420 − x
- Loss when sold at Rs. 860 = x − 860
According to the question, the profit is three times the loss:
Profit = 3 × Loss
So,
1420 − x = 3(x − 860)
Expanding the right side:
1420 − x = 3x − 2580
Bringing all terms to one side:
1420 + 2580 = 3x + x
4000 = 4x
Dividing both sides by 4:
x = 1000
🎯 Final Answer: Rs. 1000
Quick Revision / Key Points
- Define the cost price as x.
- Calculate profit and loss expressions based on selling prices.
- Set up the equation according to the given relation between profit and loss.
- Solve the linear equation to find the cost price.