SSC GD 2023 PYQ — Question 57

SSC GD Constable (English) - 30 Jan 2023 - Shift 2 • Quantitative Aptitude • Q57

In a pharma company, a scientist is mixing the purified form of Acetone and Toluene to invent some medicine. The cost of the solution obtained after mixing Acetone and Toluene is Rs.16 per litre. Acetone costs Rs.14 per litre to the scientist. Due to storage issue, Toluene’s cost is expensive than Acetone to the scientist. The ratio of Toluene to Acetone in the solution is 4 : 1. What is the cost of Toluene per litre (in ₹) to the scientist?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 16.5

Let the cost of Toluene be x,

Cost of Acetone = Rs. 14

Cost of final mixture = Rs. 16

Ratio of Acetone to Toluene = 1 : 4

By using alligation, 

⇒ x−162=14\frac{x-16}{2} = \frac{1}{4}

⇒ 2x = 33

⇒ x = 16.5