Question

Q No. 1 p
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In a medical shop, 20% of the medicines are ayurvedic, 50% of the remaining are allopathic and 30% of the remaining are homeopathic. The remaining 6,300 medicines
are in naturopathy. What is the total number of medicines in the medical shop?
21500​

Answer 1

Question:-

• In a medical shop, 20% of the medicines are ayurvedic, 50% of the remaining are allopathic and 30% of the remaining are homeopathic. The remaining 6,300 medicines are in naturopathy. What is the total number of medicines in the medical shop?

Answer:-

Given:

• 20% of medicines are ayurvedic
• 50% of remaining are allopathic
• 30% of remaining are homeopathic
• Reaming medicines are of naturopathy which is 6300

To find:

• Total number of medicines in medical shop?

Solution:

Understand carefully. Given that, 20% of total medicines are of ayurvedic, 50% of remaining medicines are of allopathic, 30% of remaining medicines are of homeopathic and the rest are of naturopathy which are 6300 in number.

Now,

• Let suppose that total medicines are 100%

Therefore,

given that ayurvedic medicine are 20% of total.

• Let the ayurvedic medicines are 20%

So, remaining medicines are 100% - 20% i.e 80%

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So, 50% of remaining (80%) are of allopathic.

Allopathic medicines are 50% of 80% i.e 40%

• Let the allopathic medicines are 40%

Now, remaining medicines are 100% -(20%+40%) = 40%

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Now, 30% of remaining are of homeopathic.

So, Homeopathic medicines are 30% of 40% i.e 12%

• Let the Homeopathic medicines are 12%

Now, remaining medicines are 100%-(40%+12% +20%) = 28%

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Now, we have found that after ayurvedic, allopathic and homeopathic, remaining medicines are 6300 which are 28% of total.

Therefore,

As above supposed that total medicines is 100%. So let suppose that 100% is equal to x

So, 28% of x = 6300

→ $\dfrac{28x}{100}\:=\: 6300$

→ 28x =6300×100

→ 28x = 630000

→ x = $\dfrac{630000}{28}$

→ x = 22500

Hence,

• $\large{\boxed{\tt{\green{Total\: number\:of\:medicines\:=\: 22500}}}}$

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Answer 2

What is the total number of medicines in the medical shop? give a answer

21500