Carcass wrote:
The price of product R is 20 percent higher than the price of product S, which in turn is 30 percent higher than the price of product T. The price of product R is what percent higher than the price of product T?
(A) 60%
(B) 56%
(C) 50%
(D) 44%
(E) 25%
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITIONGRE - Math BookOne option is to assign a variable and go from there.
The easier/faster approach is to assign a "nice" value for the price of product T, and then go from there.
Let's say product T costs
$100Given: Product S is 30 percent higher than the price of product TSo, the price of product S =
$100 + (30% of
$100) = $100 + $30 =
$130Given: The price of product R is 20 percent higher than the price of product SSo, the price of product R =
$130 + (20% of
$130) = $130 + $26 =
$156Question: The price of product R is what percent higher than the price of product T?In other words,
$156 is what percent higher than
$100Here it's clear that,
$156 is
56% percent greater than
$100Answer: B