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When a number is increased by
5%, the result is 78 . What is the original number to the nearest tenth?
Answer:

When a number is increased by $5 \%$ , the result is $78$ . What is the original number to the nearest tenth? $\newline$ Answer:

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Find the total given a part and a percent

Full solution

Q. When a number is increased by

5 \%

, the result is

78

. What is the original number to the nearest tenth?

\newline

Answer:

Denote Original Number: Let's denote the original number as $x$ . If $x$ is increased by $5\%$ , it becomes $x + 0.05x$ , which equals $1.05x$ . We are given that $1.05x$ equals $78$ . To find the original number $x$ , we need to divide $78$ by $1.05$ . $\newline$ Calculation: $x$ $0$
Calculate New Number: Now, let's perform the division to find the value of $x$ . $\newline$ Calculation: $x = \frac{78}{1.05} = 74.2857142857\ldots$
Perform Division Calculation: We need to round the result to the nearest tenth. The number $74.2857142857\ldots$ rounded to the nearest tenth is $74.3$ .

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