Question

Mixed fruit juice is sold by mixing
two kinds of juices.
one of Rs 110 per kg and another of Rs 124 per kg such
that after selling it at Rs. 150 per kg there is a gain of
25%. What should be the ratio in which the juices are
mixed respectively?​

Answer 1

Answer:

13:20

Step-by-step explanation:

one of Rs 110 per kg and another of Rs 124 per kg such that both are mixed , selling it at Rs. 150 per kg,

110 124

- -

150

= =

26 40

26 : 40

13 : 20

Answer 2

The value of ratio of two kinds of juices are mixed  is 2:5.

Step-by-step explanation:

Given:

One  kind of juice  cost is Rs.110 per kg.

Another kind of juice cost is Rs.124 per kg.

After selling the resultant mixed juice at Rs. 150 per kg there is a gain of 25%.

To Find:

The value of ratio of two kinds of juices .

Formula Used:

Quantity of one kind  of juice/ Quantity of another  kind of  juice   =( Cost Price of another  kind of juice  - Cost  Price of  mixed juice )/ (Cost  Price of  mixed juice  – Cost Price of one kind of  juice  )   ---------------- formula no.01

The above is as per rule of of allegation.

Solution:

As given- one kind of  juice cost is Rs.110 per kg.

Cost of 1 kg  one  kind of juice = Rs.110.

As given - Another  kind of  juice cost Rs.124 per kg.

Cost of 1 kg  another kind of juice = Rs.124.

As given - After selling the resultant  mixed juice at Rs. 150 per kg there is a gain of 25%.

Selling Price              Cost Price

Rs.125                        Rs. 100

Rs. 1                            $Rs.\frac{100}{125}$

Rs.150                        $Rs. \frac{100\times150}{125} = Rs. 120$

                     

Cost Price of 1 kg  resultant  mixed juice = Rs.120.

Applying formula no.01.

$\frac{Quantity\ of\ one\ kind\ of juice}{Quantity\ of\ another\ kind\ of juice} =\frac{(124-120)}{(120-110)}$

                                            $=\frac{4}{10} =\frac{2}{5}$                                                                  

Quantity of one kind  of juice : Quantity of another  kind of juice =2:5.

Thus,  the value of ratio of two kinds of juices are  mixed  is 2:5.