In a market survey, 20% opted for Product A, 60% opted for Product B, while the remaining people were uncertain. If the difference between those who opted for Product B and those who were uncertain was 720, how many people were covered in the survey?

In a market survey, 20% opted for Product A, 60% opted for Product B, while the remaining people were uncertain. If the difference between those who opted for Product B and those who were uncertain was 720, how many people were covered in the survey? Correct Answer 1,800

Given:

People opted product A = 20%

People opted product B = 60%

People who is uncertain = 100% – (20% + 60%) = 20%

Calculation:

Let the number of people covered in the survey be x 

People opted product B = 60% of x

People who is uncertain = 20% of x

Now, A/Q

60% of x – 20% of x = 720

⇒ 40% of x = 720

⇒ x = (720 × 100)/40

⇒ x = 1800

∴ The total number of people covered in the survey is 1800

 

People opted for product B = 60%

People who is uncertain = 100% – (20% + 60%) = 20%

40% = 720 

⇒ 100% = (720 × 100%)/40% = 1800

∴ The total number of people covered in the survey is 1800

Related Questions

Read the passage carefully and select the best answer to each question out of the given four alternatives.
Public opinion may be passive and false or active and real. It is claimed in theory that all governments are ultimately based on the opinion or sanction of the governed. But we find that in practice the people's rights are often trodden down and tyranny and oppression are allowed to continue. The government does it not because the people want it to do so but because they are too idle, too uneducated and too disunited or timid to oppose the govern ment. Such public opinion is passive and false and not an active verdict. But when we find people alert, intelligent and determined to let the government know their will, when they want to exercise actively their voice in the management of their country, we have an instance of true or active public opinion. True public opinion is formed by and expressed through the press, the platform, political parties and educational institutions. These have sacred duties to perform, duties on which depends the ultimate good of the entire community. The press today wields a tremendous influence, So it should support the causes and move ments and condemn the wrong one's and thus teach people to form correct opinion. A free and fair press ventilates the grievances of the public. Thus a healthy relationship develops between the people and the government through out an unbiased press. Political parties also help to create and regulate opinions. No less important part is played by the educational Institutions which train the minds of the young people who will be the citizens of tomorrow. It has been said that modern Germany and China have been made by their universities. It is necessary that the young and the growing minds should imbibe the spirit of fellow-feeling, the spirit of tolerance, the habit of compromise, and show due regard for the feelings and opinion of others without which a democratic society cannot function, let alone succeed. When there is true awakening of the people, we shall have the real and conscious public opinion. And justice will reign on earth and truly will the voice of the people be the voice of God.
According to the passage, which of the following is needed from the people to have true or active public opinion? 1. Alertness
2. Determination
3. Intelligence
4. Raising their voice
The question given below consists of a statement, followed by three arguments I, II and III. You have to decide which of the arguments is/are ‘strong’ arguments is/are ‘weak’ arguments and accordingly choose your answer from the alternatives given below each question. Statement: The domestic equity market has become supervolatile  and converted the psychology of every market participant into fear. Greed and fear continue to alternate in the market, like the two sides of a coin. To a seasoned player, there seems to be nothing new as such instances of panic-selling often occur time and again. Why? Arguments: I. Since demonetisation, herd mentality had jacked up financials, banks and NBFC stocks to great heights on the pretext of financial inclusion and formalisation of the economy. This caused the financials gain disproportionate share in Nifty50 at 35 per cent of the free float market capitalisation, which was unheard of in the past.  II. The domestic market seems to be deeply oversold and can rebound on any good news. The Nifty50 has taken long-term support at the three-year trend line, which makes a case for the correction to near its end. III. Investors, therefore, should not panic and sell off shares. Instead they should do the reverse and gather the courage to pump in more money into the market by picking quality stocks or investing in ETFs for more stable returns.