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Mike, Sarah and David decided to club together to buy a present. Each

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Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 30 Dec 2014, 06:55
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A
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Difficulty:

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Question Stats:

57% (01:32) correct 43% (01:22) wrong based on 127 sessions

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Tough and Tricky questions: Word Problems.



Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 30 Dec 2014, 07:43
Answer C.

We know that Sarah negotiated a discount of 20%, so each of them paid $4 less. Since there are three people, the 20% of the original price amounts to $12. 5 times 12$ is 60$, so the original price, before Sarah negotiated the discount, had been $60. They paid $12 less than the base price, so they spent $48.
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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 30 Dec 2014, 19:43
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Answer = C. 48

.......................... Mike .................. Sarah ................ David .............. Total

Initial Contr............ x .......................... x ................... x ....................... 3x

4 discount ........... x-4 ........................... x-4 ................ x-4 .................. \(\frac{80}{100} * 3x\) (20% discount)

Setting up the equation

\(3x-12 = 3x * \frac{4}{5}\)

x = 20

x - 4 = 16

3(x-4) = 16*3 = 48
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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 30 Dec 2014, 21:56
20 % = 4 * 3 = 12
Gift Cost = 80 % = 4 * 12 = 48
Answer C
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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 31 Dec 2014, 13:18
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

Kudos for a correct solution.


Original Price x = 100%
Discount d = 20%
Final Price = 80%

Each of them saved 20% of what they had which is equal to $4 each. So total saving = 12$(20%)

so 80% equal to 4*12 = $48


C
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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 31 Dec 2014, 14:19
1
Answer is C
say each of them contributed x
so initial price p = 3x
after 20% discount , they each paid 4 dollars less
so 3x-12=4/5*P=4/5*3x
after solving we get x=20
so they paid for the present after discount=3x-12=3*20-12=48

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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 01 Jan 2015, 04:05
1
Let the original price of the present be 3X..(considering initial contribution per person as x)
20% discount => 3X - 3X/5 = 12X/5

now if everyone of them had to pay $4 less, then total final discounted price will be 3X - 12

3X- 12 = 12X/5
X= 20

Hence finally after discount the price will be $48 (3*20 - 12)

ANS: C
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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 08 Jan 2015, 08:21
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

Kudos for a correct solution.


OFFICIAL SOLUTION:

(C) If each of them paid 4 dollars less then together they paid 12 dollars less which is 20% of original price.0.2 × original price = 12original price = 12 / 0.2 = 6 / (1/10) = 6 × 10 = 60

Remember that they paid discounted price which is 12 dollars less. 60 – 12 = 48.

The answer is (C).
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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.


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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 09 Jan 2015, 01:26
Here we go...

Let the prize of the gift = x
Discounted prixe = 0.8x

Each one has paid 4 dollars less----> total 3*4 = 12

So

x - 0.8x = 12

x = 60

prize they paid = 0.8 * 60 = 48
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Re: Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 08 Jan 2016, 18:43
oh yeah, that is some bad boy here!!!
x-12=0.8x
0.2x=12
x=60.

now, 20% discount -> 60*0.8=48.

C.

almost made me think of 60 as the answer choice. ai ai ai!!!
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Mike, Sarah and David decided to club together to buy a present. Each  [#permalink]

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New post 22 Jul 2018, 23:29
Bunuel wrote:

Tough and Tricky questions: Word Problems.



Mike, Sarah and David decided to club together to buy a present. Each of them gave equal amount of money. Luckily Sarah negotiated a 20% discount for the present so that each of them paid 4 dollars less. How much did they pay for a present?

A. 20
B. 36
C. 48
D. 60
E. 72

Kudos for a correct solution.



Note: each of them saved 4 dollar.

Total discount = 4*3 = 12.

Discount is basically a portion of your selling price that u don't need to pay. Let say selling price was 100 and after discount the price became 80. so, 20 was part of 100. 80% selling price was charged.

12 is 20% of sp.

20% represent 12

1% represents 12 /20

80% represents (12 /20)*80 = 48

The best answer is C.
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Mike, Sarah and David decided to club together to buy a present. Each &nbs [#permalink] 22 Jul 2018, 23:29
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