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Gmat prep word problem
Source: Beat The GMAT — Problem Solving |
id go for 1.4x
worked it out this way:
from nov thru feb,the total prodn is 4x
then,from march onwards,the shipment per month is:
March=4x-(x/2) = 3.5x
april = 3.5x - (x/2) = 3.0x
and so on till october..when it will be zero.(I.E the prodn inventory = supply;no opening stock in november again!)
multiply each of these monthly inventory by 0.1 and,
if youadd all these..it comes to 1.4 x,the answer.
is it right?
worked it out this way:
from nov thru feb,the total prodn is 4x
then,from march onwards,the shipment per month is:
March=4x-(x/2) = 3.5x
april = 3.5x - (x/2) = 3.0x
and so on till october..when it will be zero.(I.E the prodn inventory = supply;no opening stock in november again!)
multiply each of these monthly inventory by 0.1 and,
if youadd all these..it comes to 1.4 x,the answer.
is it right?
-
tendays2go
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as per me:
it would be 1.6x as the storage costs are paid only for march to oct, so the costs for the whole yr would also be no more than that.
in march, cost would be on 7x/2 rakes and every month x/2 rakes would dwindle from the pile
so that => 0.1*x (3.5 +3+ 2.5...... + 0.5) = 0.1*x [ 4*(3.5 + 0.5)]
= 0.1x * 16 = 1.6x
it would be 1.6x as the storage costs are paid only for march to oct, so the costs for the whole yr would also be no more than that.
in march, cost would be on 7x/2 rakes and every month x/2 rakes would dwindle from the pile
so that => 0.1*x (3.5 +3+ 2.5...... + 0.5) = 0.1*x [ 4*(3.5 + 0.5)]
= 0.1x * 16 = 1.6x
The answer is definitely C i.e 1.40 x
4x rakes total and x/2 shipped each month
Month Rakes Left
Mar 7x/2 *. 10
Apr 6x/2 * .10
May 5x/2 * .10
Jun 4x/2 * .10
Jul 3x/2 * .10
Aug 2x/2 * .10
Sep x/2 * .10
Oct 0 (since x/2 left from Sep shipped)
Therefore total
.10(7x+6x+5x+4x+3x+2x+x) / 2
= .05*28x
=1.40 x
4x rakes total and x/2 shipped each month
Month Rakes Left
Mar 7x/2 *. 10
Apr 6x/2 * .10
May 5x/2 * .10
Jun 4x/2 * .10
Jul 3x/2 * .10
Aug 2x/2 * .10
Sep x/2 * .10
Oct 0 (since x/2 left from Sep shipped)
Therefore total
.10(7x+6x+5x+4x+3x+2x+x) / 2
= .05*28x
=1.40 x
Answer is 1.4xildude02 wrote:Wasn't sure how to tackle this problem, espeically within less time.
Target 700 and HAAS
Answer is indeed 1.4x.
I later solved the problem by picking numbers(I choose value of 4 for X ) and I found that to be easier instead of calculating basing it off X.
I later solved the problem by picking numbers(I choose value of 4 for X ) and I found that to be easier instead of calculating basing it off X.
Hi lildude02,
Can you explain how u solved this problem picking numbers? I'm still lost on this problem!! thanks!
Can you explain how u solved this problem picking numbers? I'm still lost on this problem!! thanks!
let's say X=10, then x/2=10/2=5
Nov. to Feb. (11, 12, 1, 2)=4*10=40
3. 40-5=35*0.1=3.5
4. 35-5=30*0.1=3.0 (you can see a pattern.)
5. 2.5
6. 2.0
7. 1.5
8. 1.0
9. 0.5
10. 0.0
3.5+3+2.5+2+1.5+1+0.5=14
14=10y
y=1.4
Nov. to Feb. (11, 12, 1, 2)=4*10=40
3. 40-5=35*0.1=3.5
4. 35-5=30*0.1=3.0 (you can see a pattern.)
5. 2.5
6. 2.0
7. 1.5
8. 1.0
9. 0.5
10. 0.0
3.5+3+2.5+2+1.5+1+0.5=14
14=10y
y=1.4
