SSC CPO 2024 PYQ — Question 128

SSC CPO - 27 June 2024 - Shift 3 • Quantitative Aptitude • Q128

In alloys A and B, the ratio of lead to tin is 5 : 3 and 3 : 1, respectively. 80 kg of alloy A and 100 kg of alloy B are mixed together to form a new alloy. What is the amount of tin (in kg) in the new alloy?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 55.

Given that

The ratio of lead to tin in alloy A = 5 : 3  

The ratio of lead to tin in alloy B = 3 : 1

Hence, tin in 80 kg of alloy A = 38\frac{3}{8} × 80 = 30 kg

Tin in 100 kg of alloy B = 14\frac{1}{4} × 100 = 25 kg

Hence, the amount of tin in the new alloy = 30 + 25 = 55 kg.