SSC CGL 2023 PYQ — Question 73

SSC CGL - 27 July 2023 - Shift 1 • Quantitative Aptitude • Q73

Rini has mixed two colours ‘C1’ and ‘C2’ in the ratio 2 : 3. If the rate of the colour ‘C1’ is ₹500 per unit and she is selling the mixture of the two colours at ₹650 per unit at breakeven price, then what is the rate (in ₹) per unit of the second colour, that is, ‘C2’?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 750.

Let the rater per unit of color C2 be ₹x.

Given that, rate per unit of color C1 = ₹500

Seeling price of the two colors = ₹650

According to the given question,

2 × 500 + 3x = 5 × 650

⇒ 1000 + 3x = 3250

⇒ 3x = 2250

⇒ x = 750

Hence the rate per unit of color C2 is 750.