Maths question from Laboratory Attendant exam, 2026 by JKSSB
In a medical transaction, 17 times the cost price is equal to 8 times the sum of the cost price and the selling price. What is the gain or loss percentage?
Last updated Jun 13, 2026
Correct Answer:
Option C —
Gain 12.5%
Step-by-step Breakdown:
Understand the given statement:
We are told that 17 times the cost price is equal to 8 times the sum of the cost price and the selling price.
Expand the relationship:
If we multiply out the second part of the statement, 8 times the sum of the cost price and selling price is the same as:
8 times the cost price plus 8 times the selling price.
Group like terms together:
Now we know that:
17 times the cost price is equal to 8 times the cost price plus 8 times the selling price.
If we subtract 8 times the cost price from both sides, we get:
9 times the cost price is equal to 8 times the selling price.
Find the ratio of Selling Price to Cost Price:
From this, the ratio of the selling price to the cost price is 9 divided by 8.
This means if the cost price is 8 units, the selling price is 9 units. Since the selling price is higher than the cost price, it is a gain.
Calculate the gain percentage:
The profit made is 1 unit (9 units minus 8 units).
To find the gain percentage, we divide the profit by the cost price and multiply by 100:
1 divided by 8 is 0.125.
Multiplying 0.125 by 100 gives 12.5 percent.
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
