Question
‘P’ and ‘Q’ started a business together such
that investment of ‘Q’ was 25% more than that of ‘P’. After six months, ‘P’ left the business and ‘R’ joined the business whose investment was Rs. 6,000 more than that of ‘Q’. The annual profit share of ‘Q’ is (5/11)th of the total profit. Which of the following statement(s) is/are true? I. Ratio of annual profit share of ‘R’ and ‘P’ is 5 : 4, respectively. II. Average investment of ‘P’ and ‘Q’ is Rs. 5,400. III. Investment of ‘R’ is Rs. 12,000.Solution
Let the investment of ‘P’ be Rs. ‘4m’ Investment of ‘Q’ = 1.25 × 4m = Rs. ‘5m’ Investment of ‘R’ = Rs. (5m + 6000) Ratio of annual profit share of ‘P’, ‘Q’ and ‘R’ respectively: = (4m × 6) : (5m × 12) : [(5m + 6000) × 6] = 24m : 60m : (30m + 36000) Given, Annual profit share of ‘Q’ = {5/11} of total profit {60m}/{24m + 60m + 30m + 36000} = {5/11} 11 × 60m = 5 × (114m + 36000)
660m = 570m + 180000
90m = 180000
m = 2000 Statement I Required ratio (R : P) = (30m + 36000) : 24m = (60000 + 36000) : 48000 = 96000 : 48000 = 2 : 1 But given ratio is 5 : 4 So, statement I is false. Statement II Required average = (4m + 5m) ÷ 2 = 4.5m = 4.5 × 2000 = Rs. 9,000 But given average is Rs. 5,400 So, statement II is false. Statement III Investment of ‘R’ = 5m + 6000 = 10000 + 6000 = Rs. 16,000 But given value is Rs. 12,000 So, statement III is false. None of the statements is true.
A and B together start a business with investment of Rs. 1800 and Rs. (x + 900), respectively. If the profit earned after 5 years is Rs. 7000 and share ...
A and B together started a business with initial investment in the ratio of 2:3, respectively. The time-period of investment for A and B is in the ratio...
'A' and 'B' invested Rs. 16,000 and Rs. 12,000, respectively, in a business. After 8 months, 'A' added Rs. 8,000 to his investment, while 'B' withdrew R...
'A' and 'B' invested Rs. 4200 and Rs. 3600 respectively in a business. After 6 months, 'B' reduced his investment by 50%, while 'A' increased his initi...
Simran and Indu started a business investing Rs. 110, 000 and Rs. 80,000 respectively. In what ratio the profit earned after 2 years be divided between ...
A, B and C started a business with investments of Rs.24000, Rs.45000 and Rs.63000 respectively and they invested the amounts for (x + 4) months, x month...
A and B together started a business by investing their capital in the ratio of 5:9, respectively and total amount invested by them together is Rs. 1820....
A invested Rs X in a scheme. After 6 months, B joined with Rs 1000 more than that of A. After an year, ratio of profit of B to the total profit w...
A, B and C enter into a partnership with a capital in which A’s contribution is Rs. 16,000. If out of a total profit of Rs. 900, A gets Rs. 500 an...
- Ramesh and Raj started a business by investing Rs. 4,800 and Rs. 7,200 respectively. Raj withdrew his money after a few months. At the end of one year, the...
