Question

A goldsmith has 200gm of raw gold which he used to make articles and during this process he lost some gold if selling price per unit of gold article is 40% more than the cost price of per unit of raw gold. Finally he make article of 200gm by mixing some copper into it and sold it at the rate of gold article. If the cost price of per unit of raw gold is 10 times of cost price of per unit of copper and on the sale of article goldsmith gains 37.5% .Find the ratio of gold to copper in the article?

Answer 1

Answer:

27' the value of cos+tan

Answer 2

Ratio of gold to copper  = 15:1

Given:

• 200 gm of raw gold.
• Selling price per unit of gold article is 40% more than the cost price of per unit of raw gold.
• Cost price of per unit of raw gold is 10 times of cost price of per unit of copper.
• Sale of article goldsmith gains 37.5%.
• Sold it at the rate of gold article.

Find:

        Ratio of gold to copper in the article?

Explanation:

• Consider 1 gm row gold price is 100 Rs.
• Total cost price of 200 gm gold = 100 × 200 =20,000
• Selling price of gold = 100 + $\frac{40}{100 }$ × 100 = 140 rs.
• Selling price of article if no gold is lost = 140 × 200 =28,000
• Given that sale of article goldsmith gains 37.5%
• Selling price of actual article = 20,000 + $\frac{37.5}{100 }$ × 20,000 =27,500
• It means 500 Rs loss when some gold is lost.
• From given 1 gm copper price is 10 Rs.
• And copper selling price is 100 Rs. .........................Given
• So instead of selling gold if sell copper he losses = 140-100=40 Rs. per gm. of copper.
• so for 500 rs loss he sold $\frac{500}{40}$ =12.5 gm copper out of 200 gm.
• Hence Ratio of gold to copper = 187.5: 12.5

                                                   = 15:1

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