# An alloy is made up of Gold, Copper, Brass and Tin. Alloy weighs 1500 grams. The quantity of Gold in an alloy is 2.5 times the quantity of Tin, Tin is

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An alloy is made up of Gold, Copper, Brass and Tin. Alloy weighs 1500 grams. The quantity of Gold in an alloy is 2.5 times the quantity of Tin, Tin is 25 % of Brass, and the ratio of copper and brass in an alloy is 15 : 8. Find the quantity of each element.
1. 250 gram; 750 gram; 400 gram and 100 gram
2. 450 gram; 230 gram; 230 gram and 90 gram
3. 270 gram; 340 gram; 250 gram and 140 gram
4. 120 gram; 130 gram; 240 gram and 510 gram
5. 340 gram; 230 gram; 240 gram 190 gram

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Correct Answer - Option 1 : 250 gram; 750 gram; 400 gram and 100 gram

Given:

Alloy weight = 1500 gram

Calculation:

Let the copper and brass be 15x and 8x respectively

Tin  = 25 % of 8x

= 2x

Gold = 2.5 (25 % of 8x)

= 2.5 × (25/100) × 8x

= 5x

According to question:

⇒ gold + copper + brass + tin = 1500

⇒ 5x + 15x + 8x + 2x = 1500

⇒ 30x = 1500

⇒ x = 50

⇒ gold = 2.5  × 2(50) = 250 gram

⇒ Copper = 15 × 50 = 750 gram

⇒ brass = 8 × 50 = 400 gram

⇒ Tin = 2(50) = 100 gram