Question : A, B and C invested their capitals in the ratio 2 : 3 : 5. The ratio of months for which they invested is 4 : 2 : 3, respectively. If the difference between the profit shares of A and B is Rs. 1,86,000, then C's share of profit (in Rs.) is:
Option 1: 19,35,000
Option 2: 10,29,500
Option 3: 15,39,000
Option 4: 13,95,000
Latest: SSC CGL Tier 1 Result 2024 Out | SSC CGL preparation tips to crack the exam
Don't Miss: SSC CGL Tier 1 Scorecard 2024 Released | SSC CGL complete guide
Suggested: Month-wise Current Affairs | Upcoming Government Exams
Correct Answer: 13,95,000
Solution : The ratio of capital invested by A, B, and C is 2 : 3 : 5. Let their investments be $2x, 3x$ and $5x$ respectively. The ratio of the time for which they invested is 4 : 2 : 3. Let these times be $4y, 2y$ and $3y$ respectively. The profit is proportional to the product of the capital invested and the time for which it was invested. The ratio of their profits (A : B : C) would be, $(2x×4y : 3x×2y : 5x×3y)=8xy : 6xy : 15xy=8 : 6 : 15$ Let the profits of A, B, and C be $8k, 6k$ and $15k$ respectively. According to the problem, the difference between the profit shares of A and B is Rs. 1,86,000. $⇒8k - 6k = 186000$ $⇒2k = 186000$ $\therefore k = 93000$ Now, C's share of the profit $=15k = 15 × 93000 = 1395000$ Hence, the correct answer is Rs. 13,95,000.
Candidates can download this ebook to know all about SSC CGL.
Result | Eligibility | Application | Selection Process | Preparation Tips | Admit Card | Answer Key
Question : A, B, and C invest to start a restaurant. The total investment is Rs. 3 lakhs. B invested Rs. 50,000 more than A and C invested Rs. 25,000 less than B. If the profit at the end of the year was Rs.14,400, then what is C's share of the profit (in Rs.)?
Question : A started a business with a capital of Rs. 54,000 and admitted B and C after 4 months and 6 months, respectively. At the end of the year, the profit was divided among the three in the ratio 1 : 4 : 5. What is the sum (in Rs.) of the capital invested by B and C?
Question : A and B invested money in a business in the ratio of 7 : 5. If 15% of the total profit goes to charity and A's share in the profit is Rs. 5,950, then what is the total profit?
Question : If Rs.126.50 is divided among A, B and C in the ratio of 2 : 5 : 4 the share of B exceeds that of A by:
Question : A, B, and C made certain investments and the ratio of their time periods is 3 : 2 : 7 respectively. The ratio of the profits of A, B, and C is 4 : 3 : 14 respectively. What is the ratio of the investments of A, B, and C?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile