Bissoy.com
Doctors Medicines MCQs Q&A

P and Q started a business together and after 3 months P added 1/3rd of his original investment and after 3 months to that he added same amount he invested at first. Q added 1/4th amount of what she originally invested after 4 months. What would the ratio of profits be after 12 months if initial investment by both of them was in ratio 3 : 4?

P and Q started a business together and after 3 months P added 1/3rd of his original investment and after 3 months to that he added same amount he invested at first. Q added 1/4th amount of what she originally invested after 4 months. What would the ratio of profits be after 12 months if initial investment by both of them was in ratio 3 : 4? Correct Answer 9 : 8

Given:

P : Q = 3 : 4

At 9 months = P + (P × (1 / 3))

At 6 months = P + (P × (1 / 3)) + P

At 8 months = Q + (Q × (1 / 4))

Calculation:

Let initial investment by P and Q be 3x and 4x

The total investment by P = 3x × 3 + 4x × 3 + 7x × 6 = 63x

The total investment by Q = 4x × 4 + 5x × 8 = 56x

The ratio of Profit = 63x : 56x = 9 : 8

∴ Profits of P and Q after 12 months would be in ratio 9 : 8

[ height="46px" src="//storage.googleapis.com/tb-img/production/21/12/608e92b3af7670f310645a14_16402624214081.png" width="240px">  

P’s total investment along the months = (3X × 12) + (X × 9) + (3X × 6)

⇒ P’s total investment along the months = 36X + 9X + 18X

⇒ P’s total investment along the months = 63X

Q’s total investment along the months = (4X × 12) + (X × 8)

⇒ Q’s total investment along the months = 48X + 8X

⇒ Q’s total investment along the months = 56X

Required ratio = 63X : 56X

⇒ P : Q = 9 : 8

∴ Profits of P and Q after 12 months would be in ratio 9 : 8

[ height="31px" src="//storage.googleapis.com/tb-img/production/21/12/608e92b3af7670f310645a14_16402624214102.png" width="147px"> 

P : Q = ((3X × 3) + (4X × 3) + (7X × 6)) : ((4X × 4) + (5X × 8))

⇒ P : Q = 63X : 56X

⇒ P  : Q = 9 : 8

∴ Profits of P and Q after 12 months would be in ratio 9 : 8

Related Questions

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?
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?
A and B started a business with initial investment in the respective ratio of 18 : 7. After four months from start of the business, A invested Rs.2000 more and B invested Rs.7000 more. At the end of one year if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business?
Given below are two quantities named A and B. Based on the given information, you have to determine the relation between the two quantities. You should use the given data and knowledge of Mathematics to choose between the possible answers. A and B started a business in a partnership firm in the year 2017 and decided to share profits in capital ratio. In the year 2017, they share profits equally. Quantity A∶ Number of months after which A made his 3rd investment if A invests Rs. 1000 at the beginning, Rs. 1500 after 3 months and after some time, he invests Rs. 2000, after 8 months, he invests Rs. 2500 Quantity B∶ Number of months after which B made his 3rd investment if B invests Rs. 1500 at beginning of every quarter and finally he invests Rs. 500 after 11 months
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?
In the following question, two statements are numbered as A and B. On solving these statements, we get quantities A and B respectively. Solve both quantities and choose the correct option. Quantity A: X and Y started a partnership business by investing in the ratio 5 ∶ 6. Z joined them after 4 months with an amount equal to 2/3rd of that of Y. What was their total profit at the end of the year, if Z got Rs. 28000 as his share? Quantity B: Two friends P and Q started a business investing amount in the ratio of 5 : 6. R joined them after 6 months investing an amount equal to that of Q’s amount. At the end of year 20% profit was earned which was equal to Rs. 98,000. What was the amount invested by R?
A and B started a business with initial investments in the respective ratio of 18 : 7. After 4 months from the start of the business, A invested Rs. 2000 more and B invested Rs. 7000 more. At the end of one year, if the profit was distributed among them in the ratio of 2 : 1 respectively, what was the total initial investment with which A and B started the business ?
A and B started a business with some amount ratio of 2 : 1. After some months they double their share and after 2 months, B leaves the business and C joined the business with an amount Rs. 10000. After 4 months of joining, C doubles his money, and B comes back to the business with his initial principal Rs. 2000. At the end of the year, it is seen that the share of A and C are the same. After how many month A and B double their amount?
A, B and C entered into a partnership business, A invested Rs. x, B invested 20% more than A and C invested \(111\frac{1}{9}\% \) of B. After 8 months B left the business and A withdraws 50% of his investment and after 2 more months A left the business whereas C increased his investment by 12.5%. Quantity I: If at the end of the year difference between profit shares of C and (A + B) together is Rs. 2822, then find the profit share of C? Quantity II: If total profit is Rs. 198596, then find the average of the profit share of (A + B) together?
A, B and C three friends started the business in which A invested for 4 months, B initially didn’t invest and started as working partner, while C invested for 6 months. They decided to donate 9% of total profit and to give 21% of total profit to B as salary. Find the ratio of their profit shares if A and C invested in the ratio of 3 ∶ 2 and B also invested an amount which is 80% of total amount invested by A and C together for a single month.