GMAT Club Around The World!!! On the first day, a person mixed juice

Question

On the first day, a person mixed juice concentrate with freely available water in the ratio 1:3. On the second day, he mixed the same in the ratio 1:4 and sold the drink at the same price as the first day. If on day 1, the profit on his investment on juice concentrate was 60%, what was that value on day 2?

A. 100%
B. 75%
C. 68%
D. 60%
E. 48%

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Bunuel · Accepted Answer

Experts' Global Video Official Explanation

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ElninoEffect · Answer

Day1:
Ratio of juice to water on the first day = 1:3
Let the juice be x so water will be 3x total quantity = 4x
Let x litres was sold at 100
So, 4x litres will be sold at 400
He made a profit of 60% on mixture
Let the cost of x litres of juices be = y.
y(1.6) = 400 |60% profit
y = 250

Day2:
Ratio of juice to water = 1:4
total quantity = 5x
SP for 5x = 500
His investment cost = same 250
Profit = 250
Profit% = 250/250*100 = 100%
  A

gmatophobia · Answer

Let's assume that the mixed juice concentrate costs $100 / unit

Day 1

Amount of mixed juice concentrate = 1

Amount of water = 3

Total Amount = 4

Selling price = \frac{ 160 }{ 4}  = $40

Day 2

Amount of mixed juice concentrate = 1

Amount of water = 4

Total Amount = 5

Selling price = $40 * 5 = $200

Hence, the profit is 100%

IMO A

100mitra · Answer

Correct Option A .  100%

Day 1: Person mixed juice concentrate with freely available water in the ratio 1:3 
= (juice 1 + water 3 = Mixture 4)
= Juice to Mixture ratio = (1/4) 
= In 1000ml Juice is 25% and water is 75%

Day 1: The profit on his investment on juice concentrate was 60%
if CP of Mixture is $10, then selling price will be $16, with 60% profit
which makes juice price 25% CP $10 = $2.5 and 
at Mixture SP of $16, juice price becomes $4 
Profit of 60% as given in Q
 
Day 2: Person mixed the same in the ratio 1:4
= (juice 1 + water 4 = Mixture 5)
= Juice to Mixture ratio = (1/5)
= In 1000ml Juice is 25% and water is 75%

Day 2: *sold the drink at the same price as the first day.
SP of Mixture is $16 i.e Juice price is $4 - Fixed
we need to find ratio of juice CP @ 1000ml with ratio 1:5 i.e 20% 
CP = $10, 
Juice 20% in $10 = $2

*100 = 100%
 Day 2: Profit value on day 2? is 100%

Step to solve : 
1. Find ratio of juice in Mixture for Day 1
2. Ratio of Mixture will give you juice ratio in CP 
3. SP profit is given, gives you SP for next day
4. find ratio of juice in mixture for Day 2
5. Find CP of juice from SP from day 1 
6. difference between Juice CP Day 1 to Day 2 by Day 1 will give you profit for Day 2

supritr · Answer

Let the cost of 1 unit of juice concentrate = ₹C.

Since water is free, all investment is only in the concentrate.

Day 1

Ratio of concentrate : water = 1 : 3

So, 1 unit concentrate produces:

1+3=4 units of drink1+3=4 	ext{ units of drink}1+3=4 units of drink

Profit on concentrate investment = 60%

Revenue from 4 units=1.6C {Revenue from 4 units} = 1.6CRevenue from 4 units=1.6C

Therefore, selling price per unit of drink:

1.6C4=0.4C\frac{1.6C}{4}=0.4C41.6C​=0.4C
Day 2

Ratio of concentrate : water = 1 : 4

So, 1 unit concentrate produces:

1+4=5 units of drink1+4=5 	ext{ units of drink}1+4=5 units of drink

The drink is sold at the same price per unit as on Day 1, i.e., 0.4C0.4C0.4C.

Hence, revenue from 5 units:

5×0.4C=2C5 	imes 0.4C = 2C5×0.4C=2C

Profit:

2C−C=C2C - C = C2C−C=C

Profit percentage on investment:

CC×100=100%\frac{C}{C}	imes 100 = 100\%CC​×100=100%
Answer
100%\boxed{100\%}100%​

The profit on the investment in juice concentrate on Day 2 was 100%.

madsb18 · Answer

Juice 1 L, Water 3L total 4L of juice mix sold at Rs. 100 per L. Revenue Rs. 400.

(Rev - CP of Juice) / CP of Juice (as water is free) = 60/100
(400 - CP)/CP = 3/5. solve it to find CP = 250.

Next Day. 1 L Juice and 4 L water. 5L. Rev = 500.
Profit = 250. 100%

poorvigarg · Answer

i solved it as follows--->

juice: water -> 1:3 ( taking 100 L of the whole thing, 25l juice, 75 l water)

day 2 -> ( 20 l juice, 80 l water)
 
DAY 01-

now calculating CP for day 1

1l ---- C
25 L ---- 25 C

60 % profit --> 60/100*25 C + 25 C ---> 40 C - SP

DAY 02-

CP - 20 C
SP - 40 C( as the vendor is selling the drink at the same price as on day 01)

profit - 20 C

profit % ---> 20 C/20C * 100 =  100% --ANSWER

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