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GMAT Problem Solving (PS) | Re: Due to a 25% increase in the price of diesel, a person got 10 liters

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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

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