Question

a grocer mix 80 kg of tea at Rs 35 per kg with 50 kg at Rs 40 per kg at what rate should he sell the mixture so that his total profit is Rs 335 ​

Answer 1

Step-by-step explanation:

Statement of the given problem,

A Grocer mixes tea at Rs 40 per kg with tea at Rs 50 per kg to make 30 kg to be sold at Rs 45 per kg. What are the quantities of each kind in the mixture?

Let W40 & W50 denote the quantities (in kg) of (tea at Rs 40 per kg) & (tea at Rs 50 per kg) respectively required to be mixed together.

Hence from above data we get following relations,

W40 + W50 = 30 …… (1a)

40*W40 + 50*W50 = 30*45 …… (1b)

Therefore,

from 50*(1a) - (1b) we get,

10*W40 = 30*(50 - 45)

or W40 = 30*5/10 = 15 (kg) [Ans]

from (1b) - 40*(1a) we get,

10*W50 = 30*(45 - 40)

or W50 = 30*5/10 = 15 (kg) [Ans]