Question:
If a number is increased by 30% and then decreased by 20%, what is the net change?
If a number is increased by 30% and then decreased by 20%, what is the net change?
Show Hint
When successive percentage changes are applied, calculate the effect step by step using the new value each time, not just by adding the percentages.
Updated On: Oct 18, 2025
- 4% increase
- 6% increase
- 8% increase
- 6% decrease
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Let the original number be \( x \).
- After a 30% increase, the number becomes \( x + 0.30x = 1.30x \).
- Then, a 20% decrease is applied to \( 1.30x \), which results in \( 1.30x - 0.20(1.30x) = 1.30x \times 0.80 = 1.04x \).
Thus, the final number is \( 1.04x \), which represents a 4% increase from the original number.
Therefore, the net change is a 4% increase.
- After a 30% increase, the number becomes \( x + 0.30x = 1.30x \).
- Then, a 20% decrease is applied to \( 1.30x \), which results in \( 1.30x - 0.20(1.30x) = 1.30x \times 0.80 = 1.04x \).
Thus, the final number is \( 1.04x \), which represents a 4% increase from the original number.
Therefore, the net change is a 4% increase.
Was this answer helpful?
0
0
Top Questions on Algebra
- Solve the cubic equation: \[ x^3 - \frac{15}{2} x^2 + 18x + 20 = 0 \]
Pick the CORRECT eigenvalue(s) of the matrix [A] from the following choices.
\[ [A] = \begin{bmatrix} 6 & 8 \\ 4 & 2 \end{bmatrix} \]
- Given the equation: $$ 3^{x^2} = 27 \times 9^x $$ Find the value of: $$ \frac{2^{x^2}}{(2^x)^2} $$
- If \[ \frac{1}{a(b + c)} + \frac{1}{b(c + a)} + \frac{1}{c(a + b)} = k, \text{ then the value of } k \text{ is:} \]
- If $ x + \frac{1}{x} = 3 $, what is the value of $ x^2 + \frac{1}{x^2} $?
View More Questions
Questions Asked in NIMCET exam
Consider the following statements followed by two conclusions.
Statements: 1. Some men are great. 2. Some men are wise.
Conclusions: 1. Men are either great or wise. 2. Some men are neither great nor wise. Choose the correct option:
- NIMCET - 2025
- Logical Deduction
- From the word ARRANGEMENT, how many distinct 9-letter words can be formed?
- NIMCET - 2025
- Permutations and Combinations
- A monkey climbs 30 feet at the beginning of each hour and rests for a while when it slips back 20 feet before it again starts climbing at the beginning of the next hour. If he begins his ascent at 8:00 am, at what time will he first touch a flag at 120 feet from the ground?
- Suppose \( t_1, t_2, t_3, \dots, t_{55} \) are in AP such that \( \sum_{l=0}^{18} t_{3l+1} = 1197 \) and \( t_7 + 3t_{22} = 174 \). If \( \sum_{l=1}^{9} t_l^2 = 947b \), then the value of \( b \) is
- NIMCET - 2025
- Sequence and Series
- What comes next in the sequence?
2, 6, 12, 20, 30, ______- NIMCET - 2025
- Sequence and Series
View More Questions