Question 1479

In what ratio should Assam Tea costing Rs. 800 per kg be mixed with Darjeeling Tea costing Rs.1000 per kg, so that by selling the mixture at Rs. 1200 per kg there is the gain of 60%?

Answer

5 ∶ 1

Why?

Given: The selling price of the mixture = 1200 Profit percentage = 60% Formula used: Cost Price of 1 kg of mixture = [100/ (100 + P%)] × Selling Price Calculation: Cost price of mixture = \(\dfrac{100}{160} \times 1200\) = 750 By the rule of allegations, we have: Tea of Assam: tea of Darjeeling = (1000 – 750) : (800 – 750) = 250: 50 = 5 : 1