SSC CGL 2024 PYQ — Question 63

SSC CGL - 24 Sep 2024 - Shift 2 • Quantitative Aptitude • Q63

A man buys 10 kg of wheat at a rate of ₹26/kg. The wheat is mixed with 6 kg of other good quality of wheat to get a mixture at a price of ₹35/kg. The price of good quality wheat per kg (in ₹) is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 50.

Cost of 10 kg wheat = 10 × 26 = ₹260

Let the price per kg of good quality wheat = ₹x/kg

Cost of 6 kg good quality wheat = ₹6x

Total weight of the mixture = 10 + 6 = 16 kg

Total cost of the mixture = 16 × 35 = ₹560

So, 260 + 6x = 560

⇒ 6x = 560 - 260 = 300

⇒ x = 300/6 = 50

Therefore, the price of good quality wheat is ₹50 per kg.