The price of a certain painting increased by 20% during the first year

Question

The price of a certain painting increased by 20% during the first year and decreased by 15% during the second year. The price of the painting at the end of the 2-year period was what percent of the original price?

A. 102%
B. 105%
C. 120%
D. 135%
E. 140%

A. 102% 
B. 105% 
C. 120% 
D. 135% 
E. 140%

KSBGC · Answer

Original price = 100

price after 20% increment = 120

Price after 15% deduction = 120 * 85/100 = 102.

So, price after 2nd year is 102% of original price which is 100.

A is the correct answer.

Lampard42 · Answer

Assume price initially is 100; First year price = 120; Second year 120*(100-15)%=102; so 102% IMO A

CareerGeek · Answer

Let the initial price = 100 $

Price after 1st year = 120 (20% increase)

Price after 2nd year = 15% decrease 
= 120 - 15/100*120 = 102 $
= 102%

IMO Option A

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shuvam · Answer

A-b - ab/100

20 - 15 - 20*15/100

5-3

Net:-2 increase
Total 102

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Archit3110 · Answer

let price = 100
1st year = 120
2nd year = 102
so 102 % of intial price
IMO A

Abhishek009 · Answer

20 - 15 + \frac{(20)(-15)}{100}

= 5 - 3

= 2% Increase, Answer must be (A)

ScottTargetTestPrep · Answer

We can let n = the original price of the painting. .

At the end of the second year the price was 1.2 x 0.85 x n = 1.02n.

Thus, the price after two years was 102 percent of the original price.

Alternate Solution:

Let’s assume the original price of the painting was $100. At the end of the first year, after the 20% increase, it was worth $120. At the end of the second year, after a 15% drop, it was worth $102. Thus, the price of the painting at the end was 102/100 x 100% = 102% of the original price.

Answer: A

EgmatQuantExpert · Answer

Solution 
  Given:  
 • The price of a certain painting,
 o Increased by 20% during the first year 
o And decreased by 15% during the second year.

To find:  
 • The price of the painting at the end of the 2-year period was what percent of the original price

Approach and Working Out:   
 • Let the initial price of the painting be x
• Price at the end of first year = x + 20% of x = 1.2x
• Price at the end of second year = 1.2x – 15% of 1.2x = 1.2x – 0.15 * 1.2x = 1.02x = 102 % of x

Therefore, the price of the painting at the end of the 2-year period was 102% percent of the original price.

Hence, the correct answer is Option A.

Answer: A

https://e-gmat.com/blogs/wp-content/uploads/2018/08/Ability-Quiz-WP-e1533292133520.png

ManishaPrepMinds · Answer

Growth Factors:  
 Year 1: +20% → × 1.2
 Year 2: -15% → × 0.85
 Final ratio:  
 = 1.2 × 0.85 = 1.02
 Convert to percent: 
1.02 × 100 = 102%
 Answer: A

The price of a certain painting increased by 20% during the first year

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