Maths question from JKP Constable exam, 2024 by JKSSB
Gautam started a business with a sum of Rs. 60,000/- Jatin joined him 8 months later with a sum of Rs. 35,000/-. At what respective ratio will the two share the profit after two years?
Last updated May 15, 2026
Correct Answer:
Option C —
18:7
Step-by-Step Calculation
1. Determine the Time Duration for each person The total business period is 2 years, which is 24 months .Gautam: He started the business, so his money stayed for the full 24 months.
Jatin: He joined 8 months later. Therefore, his money stayed for 24 - 8 = {16 { months}}.
2. Calculate the "Investment x Time" product Gautam’s share factor: 60,000 x 24 Jatin’s share factor: 35,000 x 16
3. Find the Ratio
{Ratio} = {60,000 x 24}\{35,000 x 16}
First, simplify by canceling the zeros: {Ratio} = {60 x 24}{35 x 16}
Next, simplify the numbers:
Divide 60 and 35 by 5: {12 x 24}\{7 x 16}
Divide 24 and 16 by 8: {12 x 3}\{7 x 2}
Divide 12 and 2 by 2: {6 x 3} \ {7 x 1}
{Final Ratio} ={18} \ {7}
Answer verified by Quintessence Classes faculty — Karan Nagar, Srinagar.
