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Manjit spent ₹2,000 to produce a product in a factory. To transport the product from the factory to the showroom, he had to spend 10% of the production cost. Manjit sold the product from the showroom at 15% more than the total cost of production and transportation of the product. At what price did Manjit sell the product from the showroom?
₹2,500
₹2,250
₹2,300
₹2,530
₹2,530
Calculate total cost as 2000 + 200 = 2200. Then find 15% of 2200 (which is 220 + 110 = 330) and add to 2200 to get 2530.
Production cost = ₹2,000. Transportation cost = 10% of production cost. Sale price = Total cost + 15% of total cost.
TC=PC+(PC×0.10), SP=TC×1.15
Calculate total cost as 2000 + 200 = 2200. Then find 15% of 2200 (which is 220 + 110 = 330) and add to 2200 to get 2530.
Students often calculate the 15% gain on the original production cost (2000) instead of the total cost (2200).
Calculate Transportation Cost
The transportation cost is 10% of the production cost of ₹2,000.
TCtrans=2000×0.10=200
Calculate Total Cost
Total cost is the sum of production cost and transportation cost.
TC=2000+200=2200
Calculate Selling Price
The item was sold at a 15% increase over the total cost.
SP=2200+(2200×0.15)=2200+330=2530
D is correct because the total cost of ₹2,200 plus a 15% markup of ₹330 equals ₹2,530.
This type of percentage problem is common in profit and loss chapters; always identify the 'base' value (total cost) before applying the percentage.