Question 1626

The ratio in which Darjeeling tea worth Rs. 55 per kg should be mixed with Assam tea worth Rs. 45 per kg so as to gain 20% by selling the mixture at Rs.60 per kg is:

Answer

1 : 1

Why?

GIVEN: Selling price of 1 kg mixture = 60 Profit percentage = 20% FORMULA USED: Cost Price of 1 kg of mixture = [100/ (100 + P%)] × Selling Price CALCULATION: Cost price of 1 kg of mixture = (100/120) × 60 = 50 By rule of alligations, we have: Tea of 1 st kind : tea of 2 nd kind = = (50 – 45) : (55 – 50) = 5 : 5 = 1 : 1