GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 20 Oct 2019, 17:03

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Due to a 25% increase in the price of diesel, a person got 10 liters

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58434
Due to a 25% increase in the price of diesel, a person got 10 liters  [#permalink]

### Show Tags

28 Jun 2017, 03:29
1
00:00

Difficulty:

35% (medium)

Question Stats:

71% (01:59) correct 29% (02:23) wrong based on 43 sessions

### HideShow timer Statistics

Due to a 25% increase in the price of diesel, a person got 10 liters less quantity for $50 than he was getting before the increase. What was the initial price per liter of diesel? (A)$1.00
(B) $1.50 (C)$2.25
(D) $2.50 (E)$3.00

_________________
Senior SC Moderator
Joined: 22 May 2016
Posts: 3565
Due to a 25% increase in the price of diesel, a person got 10 liters  [#permalink]

### Show Tags

28 Jun 2017, 07:30
Bunuel wrote:
Due to a 25% increase in the price of diesel, a person got 10 liters less quantity for $50 than he was getting before the increase. What was the initial price per liter of diesel? (A)$1.00
(B) $1.50 (C)$2.25
(D) $2.50 (E)$3.00

Choice (A). Total price / price per liter = number of liters.

For $50, at$1.00 per liter, $$\frac{50}{1}$$ = 50 liters.

A 25% increase in price is $1 * 1.25 =$1.25 per liter.

New quantity at higher price is$$\frac{50}{1.25}$$ = 40 liters.

At increased price, she got 10 less liters in quantity. (50-10) = 40. That satisfies the question's condition. Initial price per liter of diesel
= $1.00, Answer A (BTW, Bunuel, I think you signal, cleverly, an odd rule about "less" vs. "fewer" when what we normally think of as countable quantities are involved. Cross pollination for weary brains.) _________________ SC Butler has resumed! Get two SC questions to practice, whose links you can find by date, here. Instructions for living a life. Pay attention. Be astonished. Tell about it. -- Mary Oliver Senior PS Moderator Joined: 26 Feb 2016 Posts: 3335 Location: India GPA: 3.12 Due to a 25% increase in the price of diesel, a person got 10 liters [#permalink] ### Show Tags 28 Jun 2017, 07:51 Given data : If the price of diesel is x, at 25% more, the price of diesel becomes 1.25x Now from the question stem, if a person gets 10 liters less quantity for 50$ post the increase :
$$\frac{50}{x}- \frac{50}{1.25x} = 10$$
$$\frac{50}{x} - \frac{40}{x} = 10$$
$$\frac{10}{x} = 10$$
Price of diesel(x) = $1(Option A) _________________ You've got what it takes, but it will take everything you've got Director Joined: 04 Dec 2015 Posts: 743 Location: India Concentration: Technology, Strategy WE: Information Technology (Consulting) Re: Due to a 25% increase in the price of diesel, a person got 10 liters [#permalink] ### Show Tags 29 Jun 2017, 05:33 1 Bunuel wrote: Due to a 25% increase in the price of diesel, a person got 10 liters less quantity for$50 than he was getting before the increase. What was the initial price per liter of diesel?

(A) $1.00 (B)$1.50
(C) $2.25 (D)$2.50
(E) $3.00 Let the initial price of diesel be $$x$$, and initial quantity of diesel be $$y$$ liters. Quantity of diesel bought for $$50 => xy = 50$$-------- (i) Price increased by $$25$$% = $$125$$% of $$x$$ $$= \frac{125}{100} * x = 1.25x$$ Quantity of diesel decreased by $$10$$ liters $$= (y - 10)$$ liters Quantity of diesel bought for $$50$$ after price increase $$=> 1.25x(y - 10) = 50$$ -------- (ii) Equating (i) and (ii), we get; $$xy = 1.25x(y - 10)$$ $$xy = 1.25xy - 12.5x$$ $$1.25xy - xy = 12.5x$$ $$0.25xy = 12.5x$$ $$0.25y = 12.5$$ $$y = \frac{12.5}{0.25} = 50$$ Therefore initial quantity of diesel, $$y = 50$$ liters. Substituting value of $$y$$ in equation (i), we get Initial price $$x$$; $$xy = 50 =>$$$$x*50 = 50$$ $$x = \frac{50}{50} = 1.$$ Therefore Initial price of diesel $$= 1.00$$. Answer (A)... Intern Joined: 28 Jun 2017 Posts: 7 Re: Due to a 25% increase in the price of diesel, a person got 10 liters [#permalink] ### Show Tags 30 Jun 2017, 08:46 2 Let the initial price be x. New price would be 1.25x . 1.25x should be a perfect divisor of 50. This is true only for option A. Hence, by elimination answer is A. Time to solve using this method would be 30 sec max. VP Joined: 31 Oct 2013 Posts: 1465 Concentration: Accounting, Finance GPA: 3.68 WE: Analyst (Accounting) Re: Due to a 25% increase in the price of diesel, a person got 10 liters [#permalink] ### Show Tags 24 Sep 2018, 01:43 \sqrt{} Bunuel wrote: Due to a 25% increase in the price of diesel, a person got 10 liters less quantity for$50 than he was getting before the increase. What was the initial price per liter of diesel?

(A) $1.00 (B)$1.50
(C) $2.25 (D)$2.50
(E) $3.00 Back solve the question . A) 1 No of liters of diesel = 50 /1 = 50 After 25% increase = price = 1.25 50 / 1.25 = 40 Difference is 10. The best answer is A. Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 9704 Location: Pune, India Re: Due to a 25% increase in the price of diesel, a person got 10 liters [#permalink] ### Show Tags 24 Sep 2018, 01:53 Bunuel wrote: Due to a 25% increase in the price of diesel, a person got 10 liters less quantity for$50 than he was getting before the increase. What was the initial price per liter of diesel?

(A) $1.00 (B)$1.50
(C) $2.25 (D)$2.50
(E) $3.00 Expense = Amount * Price If price goes up to (5/4) of initial, Amount will go down to (4/5) of initial to keep the expense same. So this 1/5 reduction is 10 lts which means the initial amount was 5*10 = 50 lts Initial price of diesel =$50/50 lts = \$1/lts

_________________
Karishma
Veritas Prep GMAT Instructor

Re: Due to a 25% increase in the price of diesel, a person got 10 liters   [#permalink] 24 Sep 2018, 01:53
Display posts from previous: Sort by