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Question I run a small dosa cart, and my expenses are as follows:
Rent for the dosa cart is ₹ 5000 per day.
The cost of making one dosa (including all the ingredients andfuel) is ₹ 10.
(i) If I can sell 100 dosas a day, what should be the selling price of my dosa to make a profit of ₹ 2000?
(ii) If my customers are willing to pay only ₹ 50 for a dosa, how many dosas should I aim to sell in a day to make a profit of ₹ 2000?
Given, rent for the dosa cart = ₹ 5000/day. The total cost of making one dosa = ₹ 10 (i) Given, Number of dosas = 100 ∴ The cost of making 100 dosas = 100 × ₹ 10 = ₹ 1000 Total cost price = Rent for the dosa cart + The cost of making 100 dosas = ₹ 5000 + ₹ 1000 = ₹ 6000 Profit = ₹ 2000 ∴ Total selling price = ₹ 6000 + ₹ 2000 = ₹ 8000 The selling price of one dosa = \(\frac {8000}{100}\) = ₹ 80 (ii) Let n be the number of dosa. Then total cost price = n × ₹ 10 + ₹ 5000 Total selling price = n × ₹ 50 Profit = ₹ 2000 S.P = C.P + profit ⇒ 50n = 10n + 5000 + 2000 ⇒ 50n – 10n = 5000 + 2000 ⇒ 40n = 7000 ⇒ n = \(\frac {7000}{40}\) ⇒ n = 175 So, I should sell 175 dosa.