Question

esha bought two varieties of rice, costing Rs.50 per kg and Rs.60 per kg each and mixed them in some ratio. Then she sold the mixture at Rs.70 per kg, making a profit of 20%. What was the ratio of the mixture?

Answer 1

HELLO DEAR,

let x be the price of the rice after mixing,

then,

120 * x/100 = 70

x = 70*100/120

x = 700/12

x = 175/3

NOW, by eligation method

the required ratio is

(60 - 175/3) / (175/3  -  50)

{(180 - 175)/3} / {(175 - 150)/3}

(5/3) / (25/3)

5/25

1/5 = 1 : 5

HENCE, the required ratio is 1 : 5

I HOPE ITS HELP YOU DEAR,

THANKS

Answer 2

Question: Esha bought two varieties of rice, costing Rs.50 per kg and Rs.60 per kg each and mixed them in some ratio. Then she sold the mixture at Rs.70 per kg, making a profit of 20%. What was the ratio of the mixture?

Solution:

Selling price = Rs 70.

Cost price = Rs x.

Profit = Rs (70-x)

Profit % = (70-x)/x * 100

or, 20x = 7000 - 100x

or, x = 7000/120 = 175/3

Now, the ratio of the mixture will be (60-175/3):(175/3-50) = 1:5 [Ans]