The figure above plots the percent of their incomes that John and Sand

Question

https://gmatclub.com/forum/download/file.php?mode=view&id=68499 The figure above plots the percent of their incomes that John and Sandra each saved each year from 2005 to 2011. 1. If Sandra spent a total of $26000 in 2008, how much money did she save in 2008? GRAPH_1_PLACEHOLDER 2. The incomes of Sandra and John in 2007 were in the ratio 4:5. What was the ratio of their expenses? GRAPH_2_PLACEHOLDER The Last question based on this stem can be found here. 11.jpg

Arm007 · Answer

1Q:
From Graph, In 2008, Sandra saved 35% of income. Let her income be x.
So she spent= x-0.35x=0.65x which is given as 26000
=> 0.65x=26000
x = 40000
so Sandra saved 0.35x = 0.35*40000=14000
Hence  Option B.

2Q:
Given : The incomes of Sandra and John in 2007 were in the ratio 4:5. 
Lets assume the income of Sandra as 4x and of John as 5x.

From graph, In 2007, Sandra saved 40% of her income. So her expense was 60% of her income. Lets call it Es
Es = 60%*sandra's income = 0.6*4x = 2.4x

From graph, In 2007, John saved 60% of her income. So his expense was 40% of his income. Lets call it Ej
Es = 40%*john's income = 0.4*5x = 2x

Ratio of Sandra's Expenditure/ John's Expenditure is => 2.4x/2x = 1.2 => 6/5

Hence  Option C.

3Q:
Given : Each saved 18000 in 2009.

From graph, In 2009, Sandra saved 45% of her income. let her income be x
45%*x = 18000
=> x = 40000

From graph, In 2009, John saved 45% of her income. let his income be y
30%*y = 18000
=> y = 60000

difference in income is y-x=60000-40000=20000

Hence  Option C.

rajtare · Answer

let sandra's income be s, and john's income be j

From the graph we see that
.65s= 26000
or s=40,000
thus saving = .35s = 14000  hence B

Q2
s/j = 4/5
s=(4/5)*j

thus ratio of expense will be ((4/5)*j*.6)/J*(.4) = 6/5  hence option c

Q3
.45s= 18000
so s =40000
.30j = 18000
so j = 60000
hence difference between j and s is 20000  option c

Kushchokhani · Answer

1. B
2. C
3. C

1. Sandra spent $26,000 in 2008.
As per chart, Sandra saved 35% in 2008 i.e. spent 65% in 2008.
So, 26,000 is equivalent to 65%. Hence, total income of Sandra in 2008=40,000
Savings=35% of 40,000=14,000
Hence, answer is B.

2. In 2007, Let the total income of Sandra and John be $90
Since Ratio of their incomes is 4:5, income of Sandra=$40 and income of John=$50
Using graph, Sandra's savings=40%, hence Sandra's exp=60% of $40=$24
Using graph, John's savings=60%, hence John's exp=40% of $50=$20
Ratio of exp=24:20 i.e. 6:5
Hence, answer is C.

3. In 2009, Sandra's savings=$18000, which is 45% of income. Hence, Sandra's income=$40000
In 2009, John's savings=$18000, which is 30% of income. Hence, John's income=$60000
Difference in income=60k-40k=$20000
Hence, answer is C.

Archit3110 · Answer

1. If Sandra spent a total of $26000 in 2008, how much money did she save in 2008?

A. $4000
B. $14000
C. $18000
saving % is 35 %
spending % 65%
.65 * x = 26,000
x = 40,000
saving =.35 * 40,000 ; $14,000
 OPTION B

2. The incomes of Sandra and John in 2007 were in the ratio 4:5. What was the ratio of their expenses?

A. 4:5
B. 5:4
C. 6:5

5*(.6s+.4e) =4*(.4s+.6e)
s=.28e
solving we get
ratio of expense .8 
or say 4/5
  OPTION A ; 4/5

3. If Sandra and John each saved $18000 in 2009, what was the difference in their incomes in that year?

A. $2700
B. $15000
C. $20000

18000/.3 - 18000/.45

20,000
OPTION C

av1901 · Answer

1. If Sandra spent a total of $26000 in 2008, how much money did she save in 2008?

A. $4000
B. $14000
C. $18000

Sandra's saving % in 2008 = 35%
So, her expenses % in 2008 = 65%

Let Sandra's income in 2008 = x

\frac{65}{100}* x = 26000 
 x = \frac{26000*100}{65 = 40000}

Income in 2008 = 40000
Saving % = 35%

Money saved in 2008 by Sandra =  \frac{35}{100} * 40000 = 14000

Answer - B

2. The incomes of Sandra and John in 2007 were in the ratio 4:5. What was the ratio of their expenses?

A. 4:5
B. 5:4
C. 6:5

Let the multiplying factor in the ratio be x
=> Sandra's income (2007) = 4x & John's income (2007) = 5x

Sandra's % of saving (2007) = 40% =>  Sandra's % of expenses  (2007) = 60% =  \frac{60}{100} * 4x

John's % of saving (2007) = 60% =>  John's % of expenses  (2007) = 40% =  \frac{40}{100} * 5x

Ratio of expenses  =  \frac{0.6*4x}{0.4*5x} = \frac{2.4}{2} = \frac{6}{5}  = 6:5

Answer - C

3. If Sandra and John each saved $18000 in 2009, what was the difference in their incomes in that year?

A. $2700
B. $15000
C. $20000

Sandra's % of saving (2009) = 45%
John's % of saving (2009) = 30%

Amount saved by Sandra = 18000, Let Sandra's income = x
=>  \frac{45}{100}*x = 18000 
 x = 40000  (Sandra's income)

Amount saved by John = 18000, Let John's income = y
=>  \frac{30}{100}*y = 18000 
 y = 60000  (John's income)

Difference in income  = y - x = 60000 - 40000 = 20000

Answer - C

Catman · Answer

1. Let Sandra's income be 100x.
 Out of this, she saves 35% which is 35x and spends (100x-35x)= 65x
 Now, 65x= $26,000
 x= 400
 Her Saving will be 35x which is $14000. Hence B.

2. Let income of Sandra and John in 2007 be 400x and 500x respectively which is in the ratio 4:5.
Now, John Saves 60% of his income, hence his spending will be 40% of 500x which is 200x.
Now, Sandra Saves 40% of her income, hence her spending will be 60% of 400x which is 240x.
Ratio of the spending of Sandra and John will be 240x:200x which is 6:5. Hence C.

3. Let the income of Sandra and John in 2009 be 100x and 100y .
Now their savings will be 45x and 30y. Since both saves $18,000 so, 
45x =$18,000, x= $400
30y= $18,000, y=$600

Difference in their income will be 100(y-x) which is equal to $20000. Hence C.

wadhwakaran · Answer

1. If Sandra spent a total of $26000 in 2008, how much money did she save in 2008?

A. $4000
B. $14000
C. $18000

As per the figure above, Sandra saved 35% of her salary in the year 2008 meaning thereby that she expended 65% of her salary. 
Let's assume salary of Sandra be S.
65%S=26000
S=26000*100/65
S= 40000
Her savings will be 35% of S= 14000 (Option B)

2. The incomes of Sandra and John in 2007 were in the ratio 4:5. What was the ratio of their expenses?

A. 4:5
B. 5:4
C. 6:5

As per the figure above Sandra saved 40% of her salary and John saved 60% of his salary.
Let's assume salary of Sandra be 40000
Salary of John as per the ratio will be 50000
Expenses of Sandra will be 60% of her salary and Expenses of John will be 40% of his salary 
Expenses of Sandra= 24000
Expenses of John= 20000
Ratio of expenses = 24/20=6/5 (option C)

3. If Sandra and John each saved $18000 in 2009, what was the difference in their incomes in that year?

A. $2700
B. $15000
C. $20000

As per the figure above Sandra saved 45% of her salary and John saved 30% of his salary.
Let's assume salary of Sandra be S
Salary of John be J
45%S=30%J
S/J=2/3
30%J=18000
J=60000
S=40000
J-S=20000 (option C)

pintukr · Answer

The figure above plots the percent of their incomes that John and Sandra each saved each year from 2005 to 2011.

1. If Sandra spent a total of $26000 in 2008, how much money did she save in 2008?

Let I be the total income of Sandra (in 2008)

Savings = 35% of I

therefore, Expenses = 65% of I = 26000 (Given)
hence, I = 26000/0.65 = 40000

So, Savings = 35% of I = 14000

A. $4000
  B. $14000  
C. $18000

2. The incomes of Sandra and John in 2007 were in the ratio 4:5. What was the ratio of their expenses?
Let 
 Sandra's income = 4k John's income = 4k
 Sandra's savings = 40% John's savings = 60%
hence, 
 Sandra's expenses = 60% of 4k John's expenses = 40% of 5k
 = 2.4 k = 2 k

Hence, the ratio of expenses = 2.4k / 2k = 6:5

A. 4:5
B. 5:4
  C. 6:5

3. If Sandra and John each saved $18000 in 2009, what was the difference in their incomes in that year?

For Sandra, 45 % of Sandra's Income = 18000
 Sandra's Income = 18000/0.45 = 40000

For John, 30 % of John's Income = 18000
 Jonn's Income = 18000/0.3 = 60000

So, Difference = 60000-40000 = 20000

A. $2700
B. $15000
  C. $20000

UtkarshAnand · Answer

1) Income = Expenditure + Savings
Expenditure = 26000
From graph, in 2008 Sandra saved 35% of income or spent 65% of her income.
So, 65/100 * Income = 26000
Income = 40000
Savings = 35/100 * 40000 = 14000. ANSWER B

2) In 2007, 
Savings of John = 60% implies expenditure of John = 40% =.4 of income (x)= .4 * 5/9 x
Savings of Sandra = 40% implies expenditure of Sandra = 60% =.6 of income (x)= .6 * 4/9 x
Required ratio = .6 * 4/9 x / .4 * 5/9 x =6:5. ANSWER C

3) In 2009, Sandra's savings = 18000, which is 45% of income. Hence, Sandra's income = 40000
In 2009, John's savings = 18000, which is 30% of income. Hence, John's income = 60000
Difference in income = 60k-40k = 20000. ANSWER C.

Sajjad1994 · Answer

Official Explanation

1) Answer: B.  In 2008, Sandra saved 35% of her income (from the graph) and hence spent 65% of it.

(\frac{65}{100}) ∗Income=26000

Income=26000∗ (\frac{65}{100})

Saving= (\frac{35}{100}) ∗26000∗(100)65=$14000

Answer (B)

2) Answer: C.  In 2007, percentage of saving of Sandra and John were 40% and 60% respectively. So their percentage of expenses were 60% and 40% respectively. Their incomes were in the ratio 4:5. Assuming their incomes were $400 and $500, their expenses were (60/100)∗400=$240 and (40/100)∗500=$200. This gives us a ratio of 240:200=6:5

Answer C.

3) Answer: C.  In 2009, Sandra saved 45% of her income and John saved 30% of his income.

(45/100)∗Sandra′s Income=18000

Sandra’s Income = 
18000∗100/45

(30/100)∗John′s Income=18000

John’s Income = 
18000∗100/30

The difference in their incomes =

18000(\frac{100}{30}–\frac{100}{45}) = 18000∗\frac{100}{90}=$20,000

Answer C.

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The figure above plots the percent of their incomes that John and Sand

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