Bissoy.com
Doctors Medicines MCQs Q&A

P, Q and R have money in the ratio of 4 : 1 : 2. P gives 1/4 of his sum to Q and P gives 1/6 of his initial sum to R. R gives 1/2 of his new sum to Q. What is the final ratio of money with P, Q and R?

P, Q and R have money in the ratio of 4 : 1 : 2. P gives 1/4 of his sum to Q and P gives 1/6 of his initial sum to R. R gives 1/2 of his new sum to Q. What is the final ratio of money with P, Q and R? Correct Answer 7 : 10 : 4

Given:

P, Q and R have money in the ratio of 4 : 1 : 2.

P gives 1/4 of his sum to Q

P gives 1/6 of his initial sum to R

R gives 1/2 of his new sum to Q

Calculation:

Let the initial amount of P, Q, and R be Rs. 4x, Rs. x and Rs. 2x respectively,

According to the question,

P gives 1/4 of his sum to Q,

P = 4x × 1/4 = x

Then, P = 4x - x = 3x

And Q = x + x = 2x,

P gives 1/6 of his initial sum to R,

P = 4x × 1/6 = 2x/3

Then, P = 3x - 2x/3 = 7x/3

And R = 2x + 2x/3 = 8x/3

R gives 1/2 of his new sum to Q

R = 8x/3 × 1/2 = 4x/3

Then, Q = 2x + 4x/3 = 10x/3

Final ratio,

P = Rs. 7x/3

Q = Rs. 10x/3

R = Rs. 4x/3

Required ratio = 7x/3 : 10x/3 : 4x/3 = 7 : 10 : 4

∴ The final ratio of money with P, Q and R is 7 : 10 : 4.

Related Questions

চারটি সমানুপাতিক রাশির প্রান্তীয় রাশি দুটির গুনফল ২০০। প্রথম রাশিঃ দ্বিতীয় রাশি= ১ঃ২, দ্বিতীয় রাশিঃচতুর্থ রাশি= ১ঃ৪। তৃতীয় রাশিটি কত?
Two quantities I and II are given in the following questions. You have to find the values of both I and II by using your knowledge of mathematics and choose the most suitable relation between quantity I and II from the given options. Quantity I: Two persons A and B started a business with their certain initial capital. If A and B invested their capital in the business for 12 years and 8 years respectively and the ratio of their profit from the business is 21 : 16, then what is the initial capital invested by A if B invested Rs. 16000. (Consider only numerical value) Quantity II: Ratio of male to female who have a Visa card is 8 : 5 while the ratio of male to female who have a Master card is 4 : 7. The ratio of males who have a Visa card to those who have a Master card is 2 : 1. If the total number of males who have both cards is 15000 then find the total number of females who have both cards?
Abeer has 14 novels. Abeer’s friend Sanjay takes 3 of them and gives 2 novels to Abeer. Abeer donates 7 novels but buys 4. Joy takes 4 novels from Abeer and gives him 5. Abeer takes one novel from Sanjay and gives it to Joy in exchange for 3 more. Abeer gives those 3 novels to Sanjay and he gives Abeer a novel and a magazine. Rahul takes the magazine which Sanjay gave to Abeer and gives Abeer a textbook. Abeer gives the textbook to Joy in exchange for a novel. Rahul takes the novel from Sanjay, gives it to Joy for a magazine and gives Abeer the magazine for a novel. How many textbooks does Abeer have?
The difference between the speed along and against the river is 8 km/h and the time taken to cover a journey from initial to final point and return to initial point is 3 hr. What is speed along with the river if the distance between the initial and final Point is 9 km?
P, Q and R invested in a business for 2.5 years, such that P’s initial investment was 60% more than Q’s initial investment, while R’s initial investment was 25% less than P’s initial investment. After 10 months, each of them invested 25% of their initial investment. What part of the total profit will P received after 2.5 years?
The angle of elevation of the top of a 36 m tall tower from the initial position of a person on the ground was 60 deg. She walked away in a manner that the foot of the tower, her initial position and the final position were all in the same straight line. The angle of elevation of the top of the tower from her final position was 30 deg. How much did she walk from her initial position?
Anil and Ruhi started a business with an initial investment of 5 : 8. After four months Anil doubled his investment and Ruhi reduced to 60% of initial investment and Sujeet joined them with the sum of Ruhi’s initial and Anil’s current investment. After another 8 months they distributed the profit in which Sujeet receives 18,000 then find the initial investment of Ruhi?
When the MP of an article is increased by 25%, and the article is sold at a 40% discount on new MP, the profit becomes 3 times of the initial profit. The initial MP of the article is 60% above its CP. If the initial MP of the article is Rs. 2400, find the initial profit percent on that article?
In each question below is given some statements followed by three conclusions numbered I, II and III. You have to assume everything in the statement to be true, then consider the given conclusions together and decide which of them logically follows beyond a reasonable doubt from the information given in the statement. Statements: Facebook Inc said on Tuesday it will ban ads promoting financial products and services tied to cryptocurrencies and initial coin offerings. “We’ve created a new policy that prohibits ads that promote financial products and services that are frequently associated with misleading or deceptive promotional practices, such as binary options, initial coin offerings and cryptocurrency,” Facebook’s product management director, Rob Leathern, said. The new policy will be implemented across its platforms, including Facebook, Audience Network and Instagram, the company said.   Conclusions: Cryptocurrencies and initial coin offerings, according to Facebook, associate with misleading or deceptive promotional practices. Audience Network is a product of Facebook Inc. Instagram isn’t a subsidiary product of Facebook Inc. 
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 following suggested courses of actions logically follow(s) for pursuing. Statement: Starting October, all new cars will have pedestrian safety features, including new design of the bonnet, to reduce impact on pedestrians during accidents. Advanced safety features are needed in all vehicles in India as vehicle safety cannot be confined to luxury vehicles only. Around 1.5 lakh people are killed in road accidents every year in the country, nearly 60% of them are pedestrians.  Courses of action: I. The government has set a target to reduce the number of road deaths by half in the next two years. The ministry of road transport and highways has been issuing new safety standards for the automobiles along with eliminating the black spots on national highways.  II. By next month, all new cars will have pedestrian safety feature, including new design of the bonnet, to reduce impact on pedestrians during accidents.  III. Ministry of road transport and Highways is planning to implement all safety features in vehicles with active support of vehicle manufacturers. Electronic stability control (ESC) and autonomous emergency braking (AEB) will be incorporated in new vehicles by 2022.