Question
Amit, Bhanu, and Chintu started a
business where Bhanu invested Rs. 1,500 more and Chintu invested Rs. 200 less than Amit. The task is to determine the amount initially invested by Amit. Statement I: The ratio of the time periods for which Amit, Bhanu, and Chintu invested is 3:4:5, respectively. Also, the combined profit share of Amit and Chintu is equal to 70% of Bhanu's profit share. Statement II: Amit withdrew his investment 6 months after starting the business, while Bhanu and Chintu withdrew their investments 2 months and 4 months after Amit, respectively. If Amit had invested 60% more and Bhanu had invested Rs. 450 less, Chintu's profit share would have remained unchanged. The question consists of two statements numbered "l and II" given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.Solution
ATQ, Let the investment of ‘Amit’ = Rs. ‘y’ Then investment of ‘Bhanu’ = Rs. (y + 1500) Investment of ‘Chintu’ = Rs. (y – 200) Statement I: Ratio of profit shares of ‘Amit’, ‘Bhanu’ and ‘Chintu’, respectively = (y × 3):{(y + 1500) × 4}:{(y – 200) × 5} = (3y):(4y + 6000):(5y – 1000) We have, (3y + 5y – 1000) = (4y + 6000) × 0.7 Or, 8y – 1000 = 2.8y + 4200 Or, 5.2y = 5200 So, y = (5200/5.2) = 1000 So initial investment made by ‘Amit’ = y = Rs 1000 So, data in statement I alone is sufficient to answer the question. Statement II: Time period of investment of ‘Bhanu’ and ‘Chintu’ = (6 + 2) and (6 + 4) i.e. 8 months and 10 months, respectively Increased investment of ‘Amit’ = y × 1.6 = Rs. ‘1.6y’ Decreased investment of ‘Bhanu’ = y + 1500 – 450 = Rs. (y + 1050) According to the statement, (1.6y × 6) + (y + 1050) × 8 = (y × 6) + (y + 1500) × 8 (Since investment and time period of investment of ‘Chintu’ does not change) Or, 9.6y + 8y + 8400 = 6y + 8y + 12000 Or, 17.6y + 8400 = 14y + 12000 So, y = 3600 ÷ 3.6 = 1000
Even a limited strike by the U.S. to diminish North Korea’s missile capabilities, as advised by some strategists in Washington, could instantly tu...
Statement : For the first time in decades, the Mysuru Zoo will receive a new species of wildlife to mark its 125th Anniversary.
I. Th...
Statement : The Supreme Court of India has temporarily banned the sale of firecrackers in the National Capital Region with the idea to test whether it ...
Statement: The alumni of the institute returned to rescue crumbling building of 112-year-old alma mater.
I. The Building of the institute was b...
In each question below is given a statement followed by two assumptions numbered I and II. You have to consider the statement and the following assumpt...
Statement:
During Navarathri celebrations, the Kannika Parameshwari temple on Vysial Street has a rather unique practice. It is not the priests...
 Statement : The judgement relating to the 2G scam case has been prima facie examined and it appears that the evidence adduced to substantiate the cha...
In each question a statement is given, followed by two assumptions, numbered I and II. An assumption is supposed or taken for granted. You have to con...
Statement : "The company has launched a new app to address customer grievances quickly."
Assumptions :
I. Customers may find the app eas...
Statement: As an ongoing mission to help taxpayers, the e-portal service has been set up by the Additional Commissioner of Income Tax at the taxpayers...
