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# John and Walter have their incomes in the ratio 7 : 5.

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Senior Manager
Joined: 02 Jan 2017
Posts: 310
Location: Canada
John and Walter have their incomes in the ratio 7 : 5.  [#permalink]

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17 Mar 2017, 04:52
3
00:00

Difficulty:

15% (low)

Question Stats:

86% (02:39) correct 14% (03:00) wrong based on 84 sessions

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John and Walter have their incomes in the ratio 7 : 5. The expenses of John, Walter and Nancy are in the ratio 9 : 7 : 4. If Nancy spends $2800 and Walter saves$1100, how much is John’s saving is?

A) $2000 B)$2100
C) $2200 D)$2300
E) $2600 Intern Joined: 28 Jun 2016 Posts: 15 Re: John and Walter have their incomes in the ratio 7 : 5. [#permalink] ### Show Tags 17 Mar 2017, 05:53 2 vikasp99 wrote: John and Walter have their incomes in the ratio 7 : 5. The expenses of John, Walter and Nancy are in the ratio 9 : 7 : 4. If Nancy spends$2800 and Walter saves $1100, how much is John’s saving is? A)$2000
B) $2100 C)$2200
D) $2300 E)$2600

Sent from my ONE E1003 using GMAT Club Forum mobile app
Intern
Joined: 28 Jun 2016
Posts: 15
Re: John and Walter have their incomes in the ratio 7 : 5.  [#permalink]

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17 Mar 2017, 05:54
appu2693 wrote:
vikasp99 wrote:
John and Walter have their incomes in the ratio 7 : 5. The expenses of John, Walter and Nancy are in the ratio 9 : 7 : 4. If Nancy spends $2800 and Walter saves$1100, how much is John’s saving is?

A) $2000 B)$2100
C) $2200 D)$2300
E) $2600 Sent from my ONE E1003 using GMAT Club Forum mobile app Option B - 2100 Sent from my ONE E1003 using GMAT Club Forum mobile app Senior SC Moderator Joined: 22 May 2016 Posts: 2222 Re: John and Walter have their incomes in the ratio 7 : 5. [#permalink] ### Show Tags 27 Jul 2018, 10:39 1 vikasp99 wrote: John and Walter have their incomes in the ratio 7 : 5. The expenses of John, Walter and Nancy are in the ratio 9 : 7 : 4. If Nancy spends$2800 and Walter saves $1100, how much is John’s saving is? A)$2000
B) $2100 C)$2200
D) $2300 E)$2600

If given ratios and a "counting number," almost always, start with the counting number and its ratio.

We need John's savings.
Savings = (Income - Expenditures)
We have Nancy's expenditures and a ratio that includes Walter and John.
Start there.

Approach:
• Nancy's expenditures -> Expenditures for all 3
• Walter's savings -> Walter's income
• Walter's income -> John's income
• John's income -> John's savings

(1) Use Nancy to find expenditures for all 3

We have a ratio and a "counting number" for Nancy.
We can find the multiplier in dollars, $$x$$

Expenditure ratio
$$J : W : N$$
$$9x: 7x: 4x$$

Multiplier
Nancy spends $$2,800$$
$$4x=2,800$$
$$x=700$$

Expenditures, John and Walter
Use $$x$$, multiplier, to calculate J's and W's expenditures

John: $$9x=(9*700)=6,300$$

Walter: $$7x=(7*700)=4,900$$

Expenditures in dollars
JOHN : WALTER : NANCY
$$6300: 4900 : (2,800)$$

(2) Use Walter's savings to find Walter's income

Walter's income = (expenditures + savings)
W's savings: $$1,100$$
W's expenditures: $$4,900$$
Walter's income: $$(4,900 + 1,100) = 6,000$$

(3) Use Walter's income to find John's income

Use the income ratio of JOHN : WALTER
to find John's income

Income ratio
$$J : W$$
$$7y: 5y$$

Multiplier
$$W=5y=6,000$$
$$y=1,200$$

John's income
$$J=7y=(7*1,200)=8,400$$
John's income = $$8,400$$

(4) Find John's savings

John's Savings = (Income - Expenditures)

J's income: $$8,400$$
J's expenditures: $$6,300$$

John's Savings: (Income -Expenditures)
Savings = $$(8,400-6,300)=2,100$$

Answer B
Re: John and Walter have their incomes in the ratio 7 : 5. &nbs [#permalink] 27 Jul 2018, 10:39
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# John and Walter have their incomes in the ratio 7 : 5.

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