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John spent 40% of his earning last month on rent and 30%

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John spent 40% of his earning last month on rent and 30% [#permalink]

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John spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over?

(A) 30%
(B) 32%
(C) 45%
(D) 68%
(E) 70%

hey guys,
could someone solve this problem with step by step explanation, please?
[Reveal] Spoiler: OA

Last edited by Bunuel on 14 Mar 2013, 03:08, edited 1 time in total.
Edited the question and the tags.
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Re: John spent 40% of his earning last month on rent and 30% [#permalink]

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New post 14 Mar 2013, 03:11
musical33 wrote:
John spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over?

(A) 30%
(B) 32%
(C) 45%
(D) 68%
(E) 70%

hey guys,
could someone solve this problem with step by step explanation, please?


Say John's earning last month was $100.

John spent 40 percent of his earning last month on rent --> $40 on rent;
30 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.7=$28 on the dishwasher.

Left over amount 100 - (40 + 28) = $32.

Answer: B.

Hope it's clear.
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Intern
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Joined: 07 Mar 2013
Posts: 6
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Kudos [?]: 2 [0], given: 0

Re: John spent 40% of his earning last month on rent and 30% [#permalink]

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New post 14 Mar 2013, 03:15
Bunuel wrote:
musical33 wrote:
John spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over?

(A) 30%
(B) 32%
(C) 45%
(D) 68%
(E) 70%

hey guys,
could someone solve this problem with step by step explanation, please?


Say John's earning last month was $100.

John spent 40 percent of his earning last month on rent --> $40 on rent;
30 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.7=$28 on the dishwasher.

Left over amount 100 - (40 + 28) = $32.

Answer: B.

Hope it's clear.


thank you Bunuel
my problem with this what is the $40*0.7=$28
what is the .7 ?
Expert Post
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Joined: 02 Sep 2009
Posts: 35841
Followers: 6828

Kudos [?]: 89717 [0], given: 10381

Re: John spent 40% of his earning last month on rent and 30% [#permalink]

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New post 14 Mar 2013, 03:18
musical33 wrote:
Bunuel wrote:
musical33 wrote:
John spent 40 percent of his earning last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earning did John have left over?

(A) 30%
(B) 32%
(C) 45%
(D) 68%
(E) 70%

hey guys,
could someone solve this problem with step by step explanation, please?


Say John's earning last month was $100.

John spent 40 percent of his earning last month on rent --> $40 on rent;
30 percent less than what he spent on rent to purchase a new dishwasher --> $40*0.7=$28 on the dishwasher.

Left over amount 100 - (40 + 28) = $32.

Answer: B.

Hope it's clear.


thank you Bunuel
my problem with this what is the $40*0.7=$28
what is the .7 ?


30 percent less than what he spent on rent to purchase a new dishwasher = 40 - 0.3*40 = 0.7*40.

Or: 30 percent less than what he spent on rent to purchase a new dishwasher means that he spent 70% of the rent on the dishwasher.

Hope it's clear.
_________________

New to the Math Forum?
Please read this: All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: John spent 40% of his earning last month on rent and 30%   [#permalink] 14 Mar 2013, 03:18
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