An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives Tk. 200 of his share to Q. the ratio among P, Q and R becomes 3:10:3 respectively. What was the total amount in taka?
A. 3,200
B. 3,500
C. 5,200
D. 6,400
Explanation: মনে করি, শুরুতে P, Q এবং R এর কাছে যথাক্রমে \(6x\), \(19x\) এবং \(7x\) টাকা ছিলো। R যখন Q কে 200 taka দেয়, তখন P, Q এবং R এর টাকার পরিমাণ হয় যথাক্রমে \(6x\), \(19x+200\) এবং \(7x-200\). নতুন অনুপাত \(6x : (19x+200) : (7x-200) = 3:10:3\). \(6x : 7x-200 = 3:3 \Rightarrow 6x = 7x-200 \Rightarrow x = 200\). Total amount \(= 6x + 19x + 7x = 32x = 32\times200 = 6,400\).
Related Questions (Any University/Year)
- If Mr. Rahim receives BDT 1500 as a profit from an investment which was made 5 years ago. If the rate was 6% per annum. then what was the amount of investment?
- A number when divided by a divisor leaves a remainder of 24. When twice the original number is divided by the same divisor the remainder is 11. What is the value of the divisor?
- A lady went shopping and bought one red bag and 15 black bags. The cost of the red bag was 3 times the average cost of a black bag. If she had spent a total of TK X fir the bags, what was the cost of the red bag?(in terms of x)
- An amount of money is to be distributed among P, Q and R in the ratio of 6:19:7 respectively. If R gives 200 TK of his share to Q, the ratio among P ,Q and R becomes 3:10:3 respectively. What was the total amount in taka?
- The average weight of 3 men is 53 kg. None of them weighs less than 51 kg. What is tha maximum possible weight (in kg of a person in that group?
- A car going 40 miles per hour set out on an 80 miles trip at 9.00 A.M. Exactly 10 minutes latter, a second car left from miles per hour, was the second car going if it caught up with the first car at 10.30 A. M.?
- ভারসাম্য রক্ষা করতে নিচের চিত্রের বামদিকে কত ওজন রাখতে হবে?
- A box in the university bookstore contains books and each book in the box is a History book. an English book or a and one -sixth are English books, what fraction of the books are Science books?
- ক ও খ একটি কাজ ১২ দিনে করতে পারে। ক একা কাজটি ২০ দিনে করতে পারে। খ একা কাজটি কতদিনে করতে পারবে?
- in an exam, 90% passed History and 85% passed English if none of the students failled in both subjects and 225 passed in both subjects, calculate the number of students who have attended the exam.
- If M men can do a job in 10 days, how long will it take for 10 men to complete the task, assuming that they work at the same rate?
- If y*x=y2x for all positive integers than (3*4)*2 =
- By selling goods for Tk. 153, Shabit loses 10%. For how much should he sell them to gain 20%?
- Long distance phone calls cost ten cents for the first minute plus four cents for each additional minute... Let m equal the total number of minutes.
- একটি ড্রয়ারে ২০টি মোজা আছে। ৬০% মোজা হলো লাল আর বাকিগুলো নীল। না দেখে ন্যূনতম কতগুলো মোজা ড্রয়ার থেকে তুললে দুটো নীল মোজা অবশ্যই উঠবে?
- Ehsan was preparing to make a tape from some of his favourite songs. He noticed that Hadi's song was 1 minute longer than Bonna's song. Duration of Niaj's song was 1 minute shorter than twice the duration of Bonna's song. If the total time for these songs is 12 minutes, how long is Niaj's song?
- Three business people wish to invest in a new company. Each person is willing to pay one third of the total investment. After careful calculations, they realize that each of them would pay BDT 7,200 less if they could find two more equal investors. How much is the total investment in the new business?
- If Masud can do a job in P days, while Minhaz can do the same job in Q days separately, how long will it take to finish the job if they work together?
- If the car starts journey from 'C' to 'D' at 12 am, at which time will it be back to 'C' (the car does not stop at D)?
- The highest percentage increase in the production rate that keeps the profit positive is: