Math, asked by rani1928, 11 months ago

96. A factory keeps increasing output of its goods by the same percentage
every year. Find the percentage if it is known that the output is
doubled in the last two years :

(1) (root2 +1)×100%

(2) (root2 +1)×100%

(3) (root2-1)×100%

(4) None of these

Need the correct answer with logic .......✔✔

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Answers

Answered by Anonymous

Heya Mate Your Answer Is 100(√2-1)

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●Let r be the increase in rate percent per annum.

●and let x be the principle.

●Now according to the given information, using formula for compound interest:-

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Answered by aquialaska

Answer:

Option 3 is correct .i.e., $(\sqrt{2}-1)\times100$ %

Step-by-step explanation:

let the output of factory be x.

⇒ The output of factory after 2 year = 2x

We have to find the percentage of increase in output if rate is same in every year.

we use formula of compound interest as it satisfy its condition.

$A=P\times(1+\frac{r}{100})^n$

here A = 2x , P = x and n = 2

$2x=x\times(1+\frac{r}{100})^2$

$2=(1+\frac{r}{100})^2$

$\sqrt{2}=1+\frac{r}{100}$

$\sqrt{2}-1=\frac{r}{100}$

$r=(\sqrt{2}-1)\times100$

Therefore, Option 3 is correct .i.e., $(\sqrt{2}-1)\times100$ %

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96. A factory keeps increasing output of its goods by the same percentageevery year. Find the percentage if it is known that the output isdoubled in the last two years :(1) (root2 +1)×100%(2) (root2 +1)×100%(3) (root2-1)×100%(4) None of theseNeed the correct answer with logic .......✔✔​

Answers

Heya Mate Your Answer Is 100(√2-1)

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