SSC CGL 2024 PYQ — Question 54

SSC CGL - 13 Sep 2024 - Shift 1 • Quantitative Aptitude • Q54

A shopkeeper mixes two types of rice costing ₹250/5 kg and ₹280/5 kg in the ratio 7 : 8. Find the net cost of the resultant mixture (per kg).

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. ₹53.20.

Given that, cost of first type of rice = ₹250/5 kg

⇒ cost of first type of rice (per kg) = ₹50

Cost of second type of rice = ₹280/5 kg

⇒ cost of second type of rice (per kg) = ₹56

Let the first ajnd second type of rice be 7x kg and 8x kg respectively.

Now, total amount of both types of rice = 7x + 8x = 15x kg

Total price of the mixture = 7x(50) + 8x(56) 

⇒ 350x + 448x = ₹798x

Total price of mixture per kg = 798x15x798x \over 15x = 53.20

Hence the net cost of the resultant mixture (per kg) is  ₹53.20.