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CAMANISHPARMAR
A clothing store’s total opening-year sales were $50,000. The total sales increased by 20% in the second year, increased by 10% in the third year, and decreased by 5% in the fourth year. What was the total amount of the store’s sales (in whole dollars) in year 4?

A) $19,300
B) $62,500
C) $62,700
D) $67,500
E) $69,300

Increased by 20% -> Multiply by \(\frac{6}{5}\)

Increased by 10% -> Multiply by \(\frac{11}{10}\)

Decreased by 5% -> Multiply by \(\frac{19}{20}\)

Then the final answer would be \(50000 * \frac{6}{5} * \frac{11}{10} * \frac{19}{20} = 50000 * \frac{6*11*19 }{ 5*10*20}\\
=\frac{50000}{1000 }* 6 * 11 * 19 = 50 * 66 * 19 = 3300 * 19\).

We can see the last digits must be 300*9 = 2700 -> 700, and only C ends in 700.

Ans: C
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Solution



Given
In this question, we are given that
    • A clothing store’s total opening-year sales were $50,000.
    • The total sales increased by 20% in the second year, increased by 10% in the third year, and decreased by 5% in the fourth year.

To find
We need to determine
    • The total amount of the store’s sales (in whole dollars) in year 4.

Approach and Working out
    • 20% increase = x (6/5)
    • 10% increase = x (11/10)
    • 5% decrease = x (95/100)
    • Hence, cumulative change = 6/5 * 11/10 * 95/100 = 6*11*19/1000

Therefore, the final value = 50000 * 6*11*19/1000 = 50*6 *11*19 = 62700
Thus, option C is the correct answer.

Correct Answer: Option C
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50000×1.2×1.1×0.95=62700
Option c is the answer

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