3. calculate the following:

(a) increase 2.5 kg by 30%

(b) increase 87 cm by 200%

(c) decrease 8l by 30%

(d) decrease 350km by 3%

Question

3. calculate the following:

(a) increase 2.5 kg by 30%

(b) increase 87 cm by 200%

(c) decrease 8l by 30%

(d) decrease 350km by 3%

Accepted Answer

{ "quality": "clear", "question_count": 4, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Percentage Increase", "Percentage Decrease" ], "current_concepts": [ "Percentage Increase", "Percentage Decrease" ] } ## Calculate percentage increases $$ \begin{aligned} &\text{(A) } 2.5 \times (1 + 0.30) = 2.5 \times 1.3 = 3.25\text{ Kg} \ &\text{(B) } 87 \times (1 + 2.00) = 87 \times 3 = 261\text{ cm} \end{aligned} $$ ## Calculate percentage decreases $$ \begin{aligned} &\text{(C) } 8 \times (1 - 0.30) = 8 \times 0.7 = 5.6\text{ L} \ &\text{(D) } 350 \times (1 - 0.03) = 350 \times 0.97 = 339.5\text{ km} \end{aligned} $$ | No. | Problem | Answer | |---|---|---| | (A) | Increase $2.5\text{ Kg}$ by $30\%$ | $3.25\text{ Kg}$ | | (B) | Increase $87\text{ cm}$ by $200\%$ | $261\text{ cm}$ | | (C) | Decrease $8\text{ L}$ by $30\%$ | $5.6\text{ L}$ | | (D) | Decrease $350\text{ km}$ by $3\%$ | $339.5\text{ km}$ | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Percentage Increase and Decrease" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate percentage increases

Calculate percentage decreases

Answer:

No.	Problem	Answer
(B)	Increase \(87\text{ cm}\) by \(200\%\)	\(261\text{ cm}\)
(C)	Decrease \(8\text{ L}\) by \(30\%\)	\(5.6\text{ L}\)
(D)	Decrease \(350\text{ km}\) by \(3\%\)	\(339.5\text{ km}\)