Bissoy.com
Doctors Medicines MCQs Q&A

A man divided a certain sum of money between his three sons in the ratio 4 ∶ 3 ∶ 2, such that the first son invested 1/5 of his share, the second son invested 1/4 of his share and the third son invested 1/3 of his share, and spend the remaining money. If they together invested Rs. 26600, how much total money did they spend?

A man divided a certain sum of money between his three sons in the ratio 4 ∶ 3 ∶ 2, such that the first son invested 1/5 of his share, the second son invested 1/4 of his share and the third son invested 1/3 of his share, and spend the remaining money. If they together invested Rs. 26600, how much total money did they spend? Correct Answer Rs. 81400

Let the shares of the three sons be Rs. ‘4x’, Rs. ‘3x’ and Rs. ‘2x’ respectively

⇒ Amount invested by first son = 1/5 of his share = (1/5) × 4x = (4/5)x

⇒ Amount invested by second son = 1/4 of his share = (1/4) × 3x = (3/4)x

⇒ Amount invested by third son = 1/3 of his share = (1/3) × 2x = (2/3)x

⇒ Total investment = (4/5)x + (3/4)x + (2/3)x = (48 + 45 + 40)x/60 = 133x/60

According to question,

⇒ 133x/60 = 26600

⇒ x = 26600 × (60/133) = 12000

Now,

⇒ Total money divided = 4x + 3x + 2x = 9x = 9 × 12000 = Rs. 108000

∴ Total money spent = 108000 – 26600 = Rs. 81400

Related Questions

Two men and women are entrusted with a task. The second man needs three hours more to cope up with the job than the second man and the woman would need working together. The first man, working alone, would need as much time as second man and the woman working together. The first man working alone, would spend eight hours less than the double period of the time second man would spend working alone. How much time would the two men and the women need to complete the task if they all asked together?
Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. P invested Rs. 10000 more than Q in a business, but at the end of the year, they received profit in the ratio 11 ∶ 10, such that P received Rs. 2100 more than Q. R and S also invested in another business in the ratio 1 ∶ 2, but at the end of the year, they received profit in the ratio 6∶ 7, such that R received Rs. 2400 less than S. Quantity A: If P withdrew Rs. 10000 after 6 months of investment, how much money did he initially invested? Quantity B: If S withdrew Rs. 50000 after 4 months of investment, how much money did he initially invested? Quantity C: How much total profit did all four of them earned at the end of the year?
Questions below followed by three quantities. Find the relationship between them. Quantity I: Average age of 14 members of team is 25 years. While oldest member of the team is 26 years older than youngest member of the team. Out of remaining 12 members of team, average age of six members of team is 28 years and the remaining six members is 20 years. What is the age of oldest member of the team? Quantity II: Average age of Nitu, Rekha and Shyam is 17 years. Two new persons Divya and Raju joined them so that average age of all become 19 years. If Divya is 2 years older than Raju and Rekha is 2 years older and 1 year older than Shyam and Nitu respectively. What is sum of the average age of Nitu and Shyam together and average age of Divya and Rekha together? Quantity III: The average age of father, mother and their two sons is 27.5. Five years ago, the ratio of ages of father, mother and two sons (elder and younger) is 7 : 5 : 2 : 1. Find the sum of ages of two sons after 7 years.
Three cars start from point A together and reach point B at equal intervals. Second car whose sped is less than third car but more than first car taken a u turn and starts its journey towards A whereas third car heads for point C which is 100 km away from point B. First car and third car meet each other at mid way of A and C after third car takes u turn from C. First car travels half the distance between A and B when second reaches B. The sum of speed of second car and third car is 100 kmh.  What is the difference between speed of third car and first car?
A man gave 50% of his savings of Rs. 67,280 to his wife and divided the remaining sum between his two sons A and B of 14 and 12 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was 
A rich man divided his property (in the form of land) among his five sons. But later he took back his youngest son's share and divided it among other sons. If the eldest son would now own 93.75 m2, how much land did the rich man actually own?
Sumit started his 5 days’ trip with a certain amount of money, out of which, he spend 26% of the money on the first day. In the next 3 days, he spend 45% of the remaining money. Then, on the last day of trip, he spends 75% of the remaining money and returns home with Rs. 814. With how much money did he start his trip?
A man gave 50% of his savings of 84,100 to his wife and divided the remaining sum among his two sons A and B of 15 and 13 years of age respectively. He divided it in such a way that each of his sons, when they attain the age of 18 years, would receive the same amount at 5% compound interest per annum. The share of B was
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.
A man goes to the fair with his son and dog. Unfortunately man misses his son which he realizes 20 minutes later. The son comes back towards his home at the speed of 20 m/min and man follows him at 40 m/min. The dog runs to son and comes back to the man to show him the direction of his son. He keeps moving to and fro at 60 m/min between son and father, till the man meets the son. What is the distance traveled by the dog in the direction of the son?