Maths question from Laboratory Attendant exam, 2026 by JKSSB
Shopkeeper bought 40 pieces of an article at a rate of Rs. 50 per item. He sold 35 pieces with 20% profit. The remaining 5 pieces were found to be damaged and he sold them with 10% loss. Find his overall profit percentage.
Last updated Jun 19, 2026
Correct Answer:
Option C —
16.25%
Step 1: Calculate the Total Cost Price
The shopkeeper bought 40 items, and each item cost 50 rupees.
Total Cost Price = 40 items times 50 rupees
Total Cost Price = 2000 rupees
Step 2: Calculate the Selling Price of the Good Items
He sold 35 items at a 20 percent profit.
First, find the profit on one item: 20 percent of 50 rupees is 10 rupees.
This means the selling price for each good item is 50 rupees plus 10 rupees, which equals 60 rupees.
Total Selling Price for these 35 items = 35 items times 60 rupees
Total Selling Price for good items = 2100 rupees
Step 3: Calculate the Selling Price of the Damaged Items
He sold the remaining 5 items at a 10 percent loss.
First, find the loss on one item: 10 percent of 50 rupees is 5 rupees.
This means the selling price for each damaged item is 50 rupees minus 5 rupees, which equals 45 rupees.
Total Selling Price for these 5 items = 5 items times 45 rupees
Total Selling Price for damaged items = 225 rupees
Step 4: Calculate the Overall Profit Percentage
Now, add the two selling prices together to find the total money he received:
Total Selling Price = 2100 rupees plus 225 rupees
Total Selling Price = 2325 rupees
Next, find the total profit by subtracting the total cost price from the total selling price:
Total Profit = 2325 rupees minus 2000 rupees
Total Profit = 325 rupees
Finally, find the profit percentage based on the original total cost price of 2000 rupees:
Profit Percentage = (325 divided by 2000) times 100
Profit Percentage = 32.5 divided by 2
Profit Percentage = 16.25 percent
Correct Answer:
C) 16.25%
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
