SSC GD 2023 PYQ — Question 58

SSC GD Constable (English) - 17 Jan 2023 - Shift 2 • Quantitative Aptitude • Q58

13{{1} \over 3}of grocery is sold at 18% profit, 14{{1} \over 4} is sold at 25% profit, and the rest at 30% profit. If the total profit is ₹1,980, then find the value of the grocery. 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. ₹8,000.

1/3 of goods are sold at an 18% profit, 25% or 1/4 of the goods are sold at a 25% profit

The rest at a 30% profit

Profit from each part = quantity × profit percentage

Let the total number of articles be 120.

Let the cost price of 120 articles = 120 unit

1/3rd of 120 = 40

1/4th of 120 = 30 and, 

Rest = 120 - 40 - 30 = 50

Total profit = 40 × (18/100) + 30 × (25/100) + 50 × (30/100) = 7.2 + 7.5 + 15 = 29.7 unit

29.7 units = 1980

1 unit = 66.66

120 units = 66.66 × 120 = Rs.7999.2 = Rs. 8000(approximately)