amanvermagmat
A store sells kitchen items. In this store, all knives of type X have same price. Also all plates of type P have same price. Danny bought 3 knives of type X and 4 plates of type P from this store. How much did Danny pay for this purchase in dollars?
(1) If Danny had instead bought 6 knives of type X and 2 plates of type P, he would have paid 12 dollars more than what he paid now.
(2) Cost of a knife is 1/3 more than that of a plate.
According to the Q-Stem : 3x+4p= ?
(1) 6x+2p-3x-4p=12 or 3x-2p=12.......................
...not sufficient (2) \(p=x+\frac{x}{3}\) or \(p=\frac{4x}{3}\) ........................
not sufficient (1)+(2) ==> replacing value of p in eqn 01 ==>
\(3x-2*\frac{4x}{3} =12\)
or \(\frac{(9x-8x)}{3}=12\)
or or \(\frac{x}{3}=12\)
or or \(x=36\) hence \(p=\frac{4x}{3}\)=\(48\)
As we know value of both x & P, we can determine 3x+4p.......................
...Sufficient ....... Thus I will go for
option C.