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2 years ago

After allowing 20% discount on the marked price with 13%

Mathematics

1 answer:

saveliy_v [14]2 years ago

6 0

<u>Answer:</u>

The marked price of the article is 22,600

<u>Explanation: </u>

Given, selling price of an article SP = Rs. 18080

To calculate marked price MP, the formula used is

$\mathrm{SP}=\mathrm{MP}\left(1-\frac{D \%}{100}\right)$

Discount D = 20%

Substituting the given values

SP = $\mathrm{MP}\left(1-\frac{20}{100}\right)$

18080 = $\mathrm{MP}\left(1-\frac{1}{5}\right)$

$18080=\mathrm{MP}\left(\frac{4}{5}\right)$

$\mathrm{MP}=\frac{18080 \times 5}{4}$

MP = Rs. 22,600

Therefore the marked price of the article is 22,600

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Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

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In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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In this problem, we have that:

$n = 15000, p = 0.09$

$\mu = E(X) = np = 15000*0.09 = 1350$

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As given in the question

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