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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 00:40
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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%
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A
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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 01:09
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Bunuel
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%


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.
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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 02:28
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Bunuel
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%

Assume price initially is 100; First year price = 120; Second year 120*(100-15)%=102; so 102% IMO A
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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 08:35
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Bunuel
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%

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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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 09:36
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A-b - ab/100

20 - 15 - 20*15/100

5-3

Net:-2 increase
Total 102

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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 10:30
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Bunuel
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%

let price = 100
1st year = 120
2nd year = 102
so 102 % of intial price
IMO A
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The price of a certain painting increased by 20% during the first year 18 Jun 2019, 12:55
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Bunuel
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%
\(20 - 15 + \frac{(20)(-15)}{100}\)

=\(5 - 3\)

= 2% Increase, Answer must be (A)
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The price of a certain painting increased by 20% during the first year 21 Jun 2019, 19:57
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Bunuel
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%

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
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The price of a certain painting increased by 20% during the first year 30 Jun 2019, 19:06
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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

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The price of a certain painting increased by 20% during the first year 19 Nov 2024, 03:16
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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
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