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%

Happy New Year Armenia, Azerbaijan, Georgia, Mauritius, Oman, Scattered islands in the Indian Ocean, Seychelles and United Arab Emirates!

Dec 31 Event: GMAT Club Around The World  !  
  (38 new questions posted every  hour  time zone on Dec 31!)

https://gmatclub.com/forum/download/file.php?id=64804

Bunuel · Accepted Answer

Experts' Global Video Official Explanation

lySA3E6-uTM

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

bumpbot · Answer

Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.

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

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Problem Solving (PS) Questions

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

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards