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The cost prices of two articles P and Q

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Intern
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The cost prices of two articles P and Q  [#permalink]

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New post Updated on: 17 Oct 2018, 11:10
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

92% (01:59) correct 8% (07:23) wrong based on 12 sessions

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The cost prices of two articles , P and Q, are in the ratio 5:7 and their selling prices, in the ratio 2:5 respectively. If the losses made on both the products are the same, what is the ratio between the cost price and the selling price of Q ?
(A) 5:4
(B) 7:3
(C) 8:3
(D) 15:4
(E) none of the above

Posted from my mobile device

Originally posted by jackfr2 on 17 Oct 2018, 10:56.
Last edited by jackfr2 on 17 Oct 2018, 11:10, edited 1 time in total.
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Re: The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 11:05
Is the answer E ?

Can you please provide the official answer
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If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

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Many of life's failures happen with people who do not realize how close they were to success when they gave up.

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Re: The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 11:11
KanishkM wrote:
Is the answer E ?

Can you please provide the official answer


sorry I edited the question as none of the answers were correct in the original version

Posted from my mobile device
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Re: The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 11:33
jackfr2 wrote:
KanishkM wrote:
Is the answer E ?

Can you please provide the official answer


sorry I edited the question as none of the answers were correct in the original version

Posted from my mobile device


Thank you for the quick turn around.

I followed this approach.

I initially thought of plugging in some values, but was unable to make progress.

P and Q have cost price in the ratio 5:7 and selling price in the ratio 2:5

So if their losses are equal, this means that the percentage change will be equal and negative(loss)

\(\frac{(Selling price(P) - cost price(P))}{cost price(P)}\) = \(\frac{(Selling price(Q) - cost price(Q))}{cost price(Q)}\)

\(\frac{Selling price(P)}{cost price(P)}\) = \(\frac{Selling price(Q)}{cost price(Q)}\)

\(\frac{cost price(Q)}{Selling price(Q)}\) = \(\frac{25}{14}\) \(\frac{cost price(P)}{Selling price(P)}\)

Since they are ratio we can write the RHS like that.

Giving the answer as E
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

Intern
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Posts: 10
The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 11:36
KanishkM wrote:
jackfr2 wrote:
KanishkM wrote:
Is the answer E ?

Can you please provide the official answer


sorry I edited the question as none of the answers were correct in the original version

Posted from my mobile device


Thank you for the quick turn around.

I followed this approach.

I initially thought of plugging in some values, but was unable to make progress.

P and Q have cost price in the ratio 5:7 and selling price in the ratio 2:5

So if their losses are equal, this means that the percentage change will be equal and negative(loss)

\(\frac{(Selling price(P) - cost price(P))}{cost price(P)}\) = \(\frac{(Selling price(Q) - cost price(Q))}{cost price(Q)}\)

\(\frac{Selling price(P)}{cost price(P)}\) = \(\frac{Selling price(Q)}{cost price(Q)}\)

\(\frac{cost price(Q)}{Selling price(Q)}\) = \(\frac{25}{14}\) \(\frac{cost price(P)}{Selling price(P)}\)

Since they are ratio we can write the RHS like that.

Giving the answer as E


can you solve the question with any approach to get a definitive answer ? I found a way to get an answer but it looked weird , that's why I posted here to see if someone solves it with a different approach


btw the correct answer is not 25:14
Director
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Re: The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 11:46
Quote:
can you solve the question with any approach to get a definitive answer ? I found a way to get an answer but it looked weird , that's why I posted here to see if someone solves it with a different approach


btw the correct answer is not 25:14


Thank you for the reply. Will try solving it again.
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

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The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 17:14
C1 and S1 buy and selling price of P respectively.
C2 and S2 buy and selling price of Q respectively.

C1-S1 = C2- S2
C1-C2 = S1 -S2
C2(C1/C2-1) = S2( S1/S2-1)
Put the value of C1/C2 = 5/7 and S1/S2 = 2/5
Now calculate C2/S2 = 21/15

E is answer.
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Re: The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 19:58
gvij2017 wrote:
C1 and S1 buy and selling price of P respectively.
C2 and S2 buy and selling price of Q respectively.

C1-S1 = C2- S2
C1-C2 = S1 -S2
C2(C1/C2-1) = S2( S1/S2-1)
Put the value of C1/C2 = 5/7 and S1/S2 = 2/5
Now calculate C2/S2 = 21/15

E is answer.


the answer given is 21:10 , so I'm now more confused as ever

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Re: The cost prices of two articles P and Q  [#permalink]

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New post 17 Oct 2018, 20:07
Try solving the equation once again(posted by gvij), it is coming as 21/10 only

Posted from my mobile device
_________________

If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.

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Re: The cost prices of two articles P and Q   [#permalink] 17 Oct 2018, 20:07
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