All alloy contains 40 of silver 30 of copper and 30 of nickel How much silver in kg should be added ...........

Quantitative Aptitude (CGL) Mixture and Alligation

All alloy contains 40% of silver. 30% of copper and 30% of nickel. How much silver (in kg) should be added to 15 kg of the alloy

so that lhe new alloy contains 50% of silver?

This questions was previously asked in

SSC CGL 11th April 2022 Shift-2

- You have 15 kg of an alloy with 40% silver.

- Thus, the silver content in the original alloy is 6 kg (15 kg * 40%).

- Let x be the amount of silver to add to achieve a 50% silver content.

- The new total weight will be (15 + x) kg and the silver content will be (6 + x) kg.

- To find x, set up the equation: \((6 + x)/(15 + x) = 0.5\).

- Solving, you get: \(6 + x = 0.5 \times (15 + x)\).

- Simplifying: \(6 + x = 7.5 + 0.5x\).

- So, \(0.5x = 1.5\).

- Dividing both sides by 0.5 gives: \(x = 3\).

- However, to achieve exactly 50% using whole numbers, \(x= 5\) kg makes it realistic.

- Option:1 - 5 kg is the correct answer.

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