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A store sells kitchen items. In this store, all knives of type X have

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amanvermagmat
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A store sells kitchen items. In this store, all knives of type X have [#permalink] New post   10 May 2018, 11:23
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A
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E

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85% (01:48) correct 15% (01:49) wrong based on 80 sessions
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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 X is 1/3 more than that of a plate of type P.
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C
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Re: A store sells kitchen items. In this store, all knives of type X have [#permalink] New post   10 May 2018, 13:59
amanvermagmat wrote:
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.
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Re: A store sells kitchen items. In this store, all knives of type X have [#permalink] New post   10 May 2018, 21:23
Let x be price of knives and p be price of plates

Need to calculate 3X+4P

I)6x+2p=12
Only one equation can't find value of 3x+4p
Insufficient

II)x=4p/3
P as unknown will still be in eqn 3x +4p

Combining both statements
One variable eqn

10p=12
We can find values of x and p
So sufficient

Posted from my mobile device
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Re: A store sells kitchen items. In this store, all knives of type X have [#permalink] New post   19 May 2018, 07:53
amanvermagmat wrote:
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.


Statement 2 never says the knife is of type X. Shouldn't the answer be (E) then?
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amanvermagmat
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Re: A store sells kitchen items. In this store, all knives of type X have [#permalink] New post   19 May 2018, 22:00
ishan92 wrote:
amanvermagmat wrote:
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.


Statement 2 never says the knife is of type X. Shouldn't the answer be (E) then?


Hello

Thank you for noticing, I have edited the second statement.
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Re: A store sells kitchen items. In this store, all knives of type X have [#permalink] New post   20 May 2018, 01:51
Let the price of each knife be $k and price of each plate be $p.
So, we have to find 3k + 4p.

Considering st.(1) alone:
(6k + 2p) - (3k + 4p) = 12
3k - 2p = 12
Insufficient

Considering st. (2) alone:
k = p + (1/3)p => k = 4p/3
Insufficient

Considering (1) and (2) together:
2 equations and 2 variables. So, equations can be solved.
Sufficient

The answer is (C).
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Re: A store sells kitchen items. In this store, all knives of type X have [#permalink]
20 May 2018, 01:51
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