Question

What single decimal multiplier would you use to decrease by 12% followed by a 5% decrease?

Answer 1

Answer:

$\pink{\boxed{\boxed{\boxed{Answer:-}}}}$

1.26 is the single decimal multiplier.

Step-by-step explanation:

Let a number be x.

If x is increased by 5% then the value of the number is( (100+5) /100) ×x=1.05x

Again if 1.05x is increased by 20% then the value of the number=((100+20) /100) ×1.05x = 1.2×1.05x=1.26x

Thus it is found that single decimal multiplier used for successive increase of 5% and 20% is 1.26

$<marquee behaviour-move><font color="orange"><h1>#itzcutiepie </h1></marquee>$,

Answer 2

$\huge\sf\pink{Answer}$

☞ The required single multiplier is 16.4%

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$\huge\sf\blue{Given}$

✭ We have to decrease by 12% followed by a 5% decrease

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$\huge\sf\gray{To \:Find}$

◈ The required single multiplier?

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$\huge\sf\purple{Steps}$

Let the given number be x

$\bullet\:\underline{\textsf{As Per the Question}}$

➝ $\sf x-\dfrac{12}{100}$

➝ $\sf\dfrac{100x-12x}{100}$

➝ $\sf\dfrac{88x}{100}$

➝ $\sf\green{\dfrac{22x}{25}}$

Second deduction

➢ $\sf\dfrac{22x}{25}-\dfrac{5}{100}(\dfrac{22x}{25})$

➢ $\sf\dfrac{22x}{25}-\dfrac{1}{100}(\dfrac{22x}{5})$

➢ $\sf\dfrac{22x}{25}-\dfrac{22x}{500}$

➢ $\sf\dfrac{440-22x}{500}$

➢ $\sf\dfrac{418x}{500}$

➢ $\sf\dfrac{418x}{5{\times}100}$

➢ $\sf\red{\dfrac{83.6x}{100}}$

Total deduction in the original value,

➳ $\sf x-\dfrac{83.6x}{100}$

➳ $\sf\dfrac{100x-83.6x}{100}$

➳ $\sf\orange{\dfrac{16.4x}{100}}$

$\rule{170}3$