Question : A, B, and C together start a business. Three times the investment of A equals four times the investment of B and the capital of B is twice that of C. The ratio of the shares in the profit is:
Option 1: 8 : 3 : 6
Option 2: 3 : 8 : 6
Option 3: 3 : 6 : 8
Option 4: 8 : 6 : 3
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Correct Answer: 8 : 6 : 3
Solution : Given: Three times the investment of A equals four times the investment of B. So, 3A = 4B ⇒ A : B = 4 : 3 The capital of B is twice that of C So, B = 2C ⇒ B : C = 2 : 1 Now, A : B = 4 : 3 = 8 : 6 Also, B : C = 2 : 1 = 6 : 3 ⇒ A : B : C = 8 : 6 : 3 Hence, the correct answer is 8 : 6 : 3.
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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, B, and C invested capital in the ratio of 3 : 4 : 8. At the end of the business term, they received the profit in the ratio of 2 : 3 : 5. What is the ratio of their invested time?
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:
Question : If A's wealth is $\frac{4}{9}$ times of B's and C's is $\frac{7}{6}$ times of B's. What is the ratio of C's wealth to A's?
Question : A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will hit the target twice?
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