Mixture and Alligation

Quantitative Aptitude (CGL)

Title

45:30

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Indian Economy - Understanding the basics of Indian economic system

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.