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120 is increased by d% then increased again by 25%

User Momocow
by
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2 Answers

5 votes

Answer:

120 * (1 + d/100) * 1.25

Explanation:

Increase 120 by "d%": 120 * (1 + d/100)

Here, (1 + d/100) represents the factor by which we increase 120 based on the percentage "d".

Increase the above result by 25%: 120 * (1 + d/100) * 1.25

Here, we multiply the previous result by 1.25 to increase it by 25%.

So, the expression 120 * (1 + d/100) * 1.25 will give you the result after increasing 120 by "d%" and then increasing the result by 25%.

User Sloan
by
7.4k points
7 votes

Answer:

150 + 1.5d

Explanation:

120 is increased by d% :

120 + 120+d%

= 120(1 +d%)


=120(1+(d)/(100) )\\\\=120((100+d)/(100))\\ \\= 12(100+d)/(10)\\ \\=6(100+d)/(5)

then increased again by 25%


=6(100+d)/(5)+6(100+d)/(5)*25\%\\\\=6(100+d)/(5)(1+ 25\%)\\\\=6(100+d)/(5)(1+(25)/(100))\\ \\=6(100+d)/(5)(1+(1)/(4)) \\\\= 6(100+d)/(5)((4+1)/(4) )\\\\ =6(100+d)/(5)((5)/(4) )\\\\=6(100+d)/(4)\\\\=3(100+d)/(2)\\\\=150 + 1.5d

User Jtribble
by
8.4k points