Bissoy.com
Doctors Medicines MCQs Q&A

Out of the total number of players, 100/3% are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the number of players in hotel X becomes 50% of the total number of players. If 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes what per cent of the total number of players?

Out of the total number of players, 100/3% are in hotel X and the remaining are in hotel Y. If 20 players from hotel Y are shifted to hotel X, then the number of players in hotel X becomes 50% of the total number of players. If 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes what per cent of the total number of players? Correct Answer 16.67%

Let total players = A

Players in Hotel X = 100/3% of A = A/3

Players in Hotel Y = A - A/3 = 2A/3

According to question:

A/3 + 20 = 50/100 × A

⇒ A/3 + 20 = A/2

⇒ A/2 - A/3 = 20

⇒ A/6 = 20

⇒ A = 20 × 6

⇒ A = 120

Now, Players in Hostel X = 120/3 = 40 

Players in Hostel Y = 120 - 40 = 80

Now, if 20 players from hotel X are shifted to hotel Y, then the number of players in hotel X becomes,

= 40 - 20 = 20

And the number of players in hotel X becomes what percent of the total number of players:

20/120 × 100

= 16.67%

Hence, ‘16.67%’ is the correct answer.

Related Questions

The question below is followed by two statements I and II. You have to determine whether the data given is sufficient for answering the question. You should use the data and your knowledge of mathematics to choose the best possible answer.  Belly has some coins out of which some are of 25 Cent and Some are of 50 Cent. If he has a total of 250 coins, how many coins does he have of 25 Cent? I) Belly has three times as many as 50 Cent coins as 25 Cent coins. II) Belly has 20 more 25 cent coins than the 50 Cent coin.
What is the total number of employees in the company? Which of the following option is sufficient alone to find the answer? A) In the company, employees like either tea or coffee or cold drink. Out of the total employees, 25% like tea and 40% like coffee. Out of remaining employees, 20% like cold drink and remaining employees don’t like any of these drinks. B) Out of total employees 18% working in the marketing departments, 35% working in IT departments. From the remaining employees 25% working in HR departments and 45% working in content departments and remaining 141 are working in other departments. C) Employees working in the company is form state X, Y and Z. 20% of employees working in the company is from state X and from remaining 60% employees is from state Z and the remaining employees is from the state Y. D) 60% of the employees in the company are married and remaining employees are unmarried. The ratio of male and female unmarried employees is 4 : 5 and ratio of married male and female employees is 3 : 4.
Out of total students 100/3 % are in hostel A and remaining are in hostel B. If 20 students from hostel B are shifted to hostel A, then total students in hostel A becomes 50% of total students. If 20 students from hostel A are shifted to hostel B, then the total students in hostel A becomes what per cent of total students?
Re-arrange the following sentences into a meaningful paragraph. (A) comes into effect from today. The bank's savings account rate was 3.5 per cent during March 2003 to May 2011 for all savings bank account customers (B) The bank's decision comes two days ahead of RBI's monetary policy meet and is likely to trigger (C) with deposits of above Rs 1 crore, it said in a statement. The two-tier savings bank account interest rate (D) to 3.5 per cent, lowest in six years, a decision that will impact 90 per cent of its customers (E) The country's largest lender however will continue to pay 4 per cent interest on savings bank accounts (F) SBI today cut interest rate on savings bank account deposits up to Rs 1 crore by 0.5 per cent (G) rate war among peers. SBI's savings bank account base is of around Rs 9 lakh crore.
In the following question, two statements are numbered as A and B. On solving these statements we get quantities A and B respectively. Solve for the both quantities and choose the correct option. Quantity A: A fruit seller sold 40% of his apples at a price of Rs. 80 per kg. Then he sold 30% of the remaining apples at a price of Rs. 100 per kg. Later, he sold 75% of the remaining apples for Rs. 120 per kg, and further remaining apples at Rs. 60 per kg. If he earned a total of Rs. 11762.50 from selling all his apples, how many apples did he have? Quantity B: 20% of the fruits in a shop are apples, while 40% of the remaining fruits are bananas. Also, 50% of the remaining fruits are mangoes. If the remaining fruits are 16 kg of pineapples and 20 kg of grapes, how many kg fruits are there in the shop?
A lady wants to buy the following items in the given price range- 1. Tomato between Rs. 40 and Rs. 45 per kg. 2. Grapes in the price range of Rs. 80 and Rs. 90 per kg. 3. Milk packets at Rs. 23 per liter. In which shop from the following will she definitely get all her items/ A. Shop S sells tomato at Rs. 22.5 per half kg, Grapes at Rs. 82 per kg and milk at Rs. 24 per liter. B. Shop H sells grapes at Rs. 21 per quarter kg, milk at 12.5 per half litre and tomato at Rs. 22 per half kg. C. Shop O sells milk at Rs. 11.5 per half litre, tomato at 21 per half kg and grapes at Rs. 43 per half kg. D. Shop P sells tomato at Rs. 23.5 per half kg, grapes at Rs. 85 per kg and milk at Rs. 23 per litre.
In the question below, are given a statement followed by three courses of actions numbered I, II and III. On the basis of the information given, you have to assume everything in the statement to be true, and then decide which of the suggested courses of action logically follow(s) for pursuing. Statement: Long-term investors may apply for the upcoming IPO of TCNS Clothing. The company’s unique positioning in the less crowded women’s wear segment, with dominant brands such as ‘W’, ‘Aurelia’ and ‘Wishful’, may attract strong interest from institutions. In the choppy markets, funds are increasingly finding more comfort with consumer companies that offer high growth visibility.  Courses of action: I. TCNS manufactures, markets and retails a portfolio of women’s branded apparel across brands ‘W’, ‘Aurelia’ and ‘Wishful’.  II. Besides, with a play on the rising spend by self-earning women, TCNS is likely to command a premium.  III. ‘Aurelia’, which has more contemporary designs, accounts for 33.7 per cent of revenues and has grown at 48 per cent, while ‘Wishful’, a premium occasion wear brand, accounts for 8.6 per cent and has grown at 40 per cent. 
The following question consists of six sentences of a passage. The first and the sixth sentences are given in the beginning as S1 and S6. The middle four sentences in each have been jumbled up and labelled P, Q, R and S. You are required to find the proper sequence of the four sentences and mark your response accordingly S1: Union finance ministry announced a series of concessions to trade and industry last month. S6: Manufacturers "feel that prices of certain components may not be brought down because of the imposition of a 30 per cent duty where there was none earlier. P: Together, these will result in a loss of revenue of Rs. 100 crore to the exchequer. Q: Earlier, these were attracting customs duty varying from zero to 100 per cent. R: The chunk of the relief of Rs. 60 crore has gone to the electronics industry. S: Raw materials and piece parts now carry customs duty of 30 per cent and 40 per cent ad valorem respectively. The correct sequence should be
45% players played in 1st world cup out of which 25 players played in only 1st world cup. 57.5% players played in 2nd world cup out of which 45 players played in only 2nd world cup. 72.5% players played in 3rd world cup out of which 110 players played in only 3rd world cup. Find the players who played in both 1st world cup and 2nd world cup but not in 3rd world cup, if total number of players is 400.
In this company, 60 per cent of the employees are males, 40 per cent are females, 80 per cent of the employees are sincere and 40 per cent of the employees are from this city - Rawalpura.