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

Question

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

generis · Answer

Test answer choices. Start with (A) or (E). They have round numbers. 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. :-)

)

pushpitkc · Answer

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)

sashiim20 · Answer

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)...

phoenix128 · Answer

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.

KSBGC · Answer

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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.

KarishmaB · Answer

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

Answer (A)

saaiid · Answer

present : past =125:100
=5:4
50*25/100 = 12.5/10
one litre price =1.25
past price = 1.25*4/5
=1$

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

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

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