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M28-20

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M28-20 [#permalink]

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New post 16 Sep 2014, 01:29
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If the productivity of a brigade grows by 10% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44
[Reveal] Spoiler: OA

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Re M28-20 [#permalink]

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New post 16 Sep 2014, 01:29
Official Solution:

If the productivity of a brigade grows by 10% when the number of the workers in the brigade is increased by one, then which of the following is closest to the ratio of the productivity of a 12-person brigade to that of a 10-person brigade?

A. 0.21
B. 0.82
C. 1.20
D. 1.21
E. 1.44


If \(x\) is the productivity of the 10-person brigade, the productivity of the 12-person brigade is \(1.1*1.1*x = 1.21*x\). The required ratio \(= \frac{1.21x}{x} = 1.21\).


Answer: D
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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

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Re: M28-20 [#permalink]

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New post 22 Nov 2017, 00:39
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my method is product change method

let initial value is 100
then 10% increase makes 110. further 10 % increase makes 121

now ratio of 121/100: 1.21
Re: M28-20   [#permalink] 22 Nov 2017, 00:39
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