The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be || ADRE 1.0 SLRC 2022 PAPER-III SOLVED QUESTIONS
The price of an article is first decreased by 40% and then increased by 20%. The net change in the price will be:
(A) 20%
(B) 40%
(C) 24%
(D) 28%
Solution:
Let's solve the problem step by step.
1. Initial price of the article:
- Let's assume the initial price is P.
2. Decrease the price by 40%:
- Decreased price=
= P - 40/100P
= 0.60P
3. Increase the decreased price by 20%:
- New price after 20% increase
= 0.60P + 0.20 × 0.60P
= 0.60P + 0.12P
= 0.72P
4. Calculate the net change in the price:
- Net change= New price - Initial price
= 0.72P-P
= - 0.28P
- Net change in percentage
= -0.28P/P × 100
= 28%
Therefore, the net change in the price is a decrease of 20%. So the correct answer is: (D) 28%
Why this question is important?
- Builds understanding of percentage change.
- Enhances problem-solving skills.
- Applies to real-world scenarios.
- Improves exam readiness.
- Previously asked in ADRE SLRC 2022 Paper III for Grade-III Post.
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