question
increase the following by the given percentage.
a $\$45$ by $30\% =$
b $\$8000$ by $15\% =$
c $\$80$ by $45\% =$
d $\$3000$ by $60\% =$
e $\$350$ by $20\% =$
f $\$750$ by $35\% =$
g $900\text{ g}$ by $40\% =$
h $50\text{ min}$ by $20\% =$
i $400\text{ kg}$ by $60\% =$
j $240\text{ l}$ by $50\% =$

question
decrease the following by the given percentage.
a $\$63$ by $19\% =$
b $\$84$ by $32\% =$
c $4\text{ m}$ by $35\% =$
d $260\text{ l}$ by $24\% =$
e $\$930$ by $10\% =$
f $\$6354$ by $20\% =$
g $\$134$ by $25\% =$
h $\$575$ by $30\% =$
i $\$928.50$ by $15\% =$
j $\$243.80$ by $50\% =$

Question

question
increase the following by the given percentage.
a $\$45$ by $30\% =$
b $\$8000$ by $15\% =$
c $\$80$ by $45\% =$
d $\$3000$ by $60\% =$
e $\$350$ by $20\% =$
f $\$750$ by $35\% =$
g $900\text{ g}$ by $40\% =$
h $50\text{ min}$ by $20\% =$
i $400\text{ kg}$ by $60\% =$
j $240\text{ l}$ by $50\% =$

question
decrease the following by the given percentage.
a $\$63$ by $19\% =$
b $\$84$ by $32\% =$
c $4\text{ m}$ by $35\% =$
d $260\text{ l}$ by $24\% =$
e $\$930$ by $10\% =$
f $\$6354$ by $20\% =$
g $\$134$ by $25\% =$
h $\$575$ by $30\% =$
i $\$928.50$ by $15\% =$
j $\$243.80$ by $50\% =$

Accepted Answer

{ "quality": "clear", "question_count": 20, "skills_matched": [ "step_cot", "table_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Percentage Calculations" ], "new_concepts": [ "Percentage Increase", "Percentage Decrease" ], "current_concepts": [ "Percentage Calculations", "Percentage Increase", "Percentage Decrease" ] } ## Calculate percentage increases $$ \begin{aligned} &\text{a: } 45 \times 1.30 = 58.5 \implies \$58.50\ &\text{b: } 8000 \times 1.15 = 9200 \implies \$9200\ &\text{c: } 80 \times 1.45 = 116 \implies \$116\ &\text{d: } 3000 \times 1.60 = 4800 \implies \$4800\ &\text{e: } 350 \times 1.20 = 420 \implies \$420\ &\text{f: } 750 \times 1.35 = 1012.5 \implies \$1012.50\ &\text{g: } 900 \times 1.40 = 1260 \implies 1260\text{ g}\ &\text{h: } 50 \times 1.20 = 60 \implies 60\text{ min}\ &\text{i: } 400 \times 1.60 = 640 \implies 640\text{ kg}\ &\text{j: } 240 \times 1.50 = 360 \implies 360\text{ L} \end{aligned} $$ ## Calculate percentage decreases $$ \begin{aligned} &\text{a: } 63 \times (1 - 0.19) = 63 \times 0.81 = 51.03 \implies \$51.03\ &\text{b: } 84 \times (1 - 0.32) = 84 \times 0.68 = 57.12 \implies \$57.12\ &\text{c: } 4 \times (1 - 0.35) = 4 \times 0.65 = 2.6 \implies 2.6\text{ m}\ &\text{d: } 260 \times (1 - 0.24) = 260 \times 0.76 = 197.6 \implies 197.6\text{ L}\ &\text{e: } 930 \times (1 - 0.10) = 930 \times 0.90 = 837 \implies \$837\ &\text{f: } 6354 \times (1 - 0.20) = 6354 \times 0.80 = 5083.2 \implies \$5083.20\ &\text{g: } 134 \times (1 - 0.25) = 134 \times 0.75 = 100.5 \implies \$100.50\ &\text{h: } 575 \times (1 - 0.30) = 575 \times 0.70 = 402.5 \implies \$402.50\ &\text{i: } 928.50 \times (1 - 0.15) = 928.50 \times 0.85 = 789.225 \implies \$789.23\ &\text{j: } 243.80 \times (1 - 0.50) = 243.80 \times 0.50 = 121.9 \implies \$121.90 \end{aligned} $$ ## Question 1: Increase the following by the given percentage | No. | Problem | Answer | |---|---|---| | a | Increase \$45 by 30% | \$58.50 | | b | Increase \$8000 by 15% | \$9200 | | c | Increase \$80 by 45% | \$116 | | d | Increase \$3000 by 60% | \$4800 | | e | Increase \$350 by 20% | \$420 | | f | Increase \$750 by 35% | \$1012.50 | | g | Increase 900 g by 40% | 1260 g | | h | Increase 50 min by 20% | 60 min | | i | Increase 400 kg by 60% | 640 kg | | j | Increase 240 L by 50% | 360 L | ## Question 2: Decrease the following by the given percentage | No. | Problem | Answer | |---|---|---| | a | Decrease \$63 by 19% | \$51.03 | | b | Decrease \$84 by 32% | \$57.12 | | c | Decrease 4 m by 35% | 2.6 m | | d | Decrease 260 L by 24% | 197.6 L | | e | Decrease \$930 by 10% | \$837 | | f | Decrease \$6354 by 20% | \$5083.20 | | g | Decrease \$134 by 25% | \$100.50 | | h | Decrease \$575 by 30% | \$402.50 | | i | Decrease \$928.50 by 15% | \$789.23 | | j | Decrease \$243.80 by 50% | \$121.90 | { "subject": "Mathematics", "question_type": "Multi-part", "knowledge_point": [ "Mathematics", "Algebra", "Percentage Calculations" ] }

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QUESTION IMAGE

Question

Explanation:

Calculate percentage increases

Calculate percentage decreases

Answer:

Question 1: Increase the following by the given percentage

Question 2: Decrease the following by the given percentage

No.	Problem	Answer
b	Increase \$8000 by 15%	\$9200
c	Increase \$80 by 45%	\$116
d	Increase \$3000 by 60%	\$4800
e	Increase \$350 by 20%	\$420
f	Increase \$750 by 35%	\$1012.50
g	Increase 900 g by 40%	1260 g
h	Increase 50 min by 20%	60 min
i	Increase 400 kg by 60%	640 kg
j	Increase 240 L by 50%	360 L

No.	Problem	Answer
b	Decrease \$84 by 32%	\$57.12
c	Decrease 4 m by 35%	2.6 m
d	Decrease 260 L by 24%	197.6 L
e	Decrease \$930 by 10%	\$837
f	Decrease \$6354 by 20%	\$5083.20
g	Decrease \$134 by 25%	\$100.50
h	Decrease \$575 by 30%	\$402.50
i	Decrease \$928.50 by 15%	\$789.23
j	Decrease \$243.80 by 50%	\$121.90