Question
‘Anuj’ and ‘Bheem’ started a business with an
investment of Rs. (m + 5000) and Rs. (3m – 2500) respectively. After eight months, ‘Bheem’ increased his investment by Rs. 5,000. If the ratio of annual profit share of ‘Anuj’ to ‘Bheem’ is 15:26, then find the investment of ‘Anuj’.Solution
ATQ,
Respective ratio of profit share of ‘Anuj’ to ‘Bheem’ = [(m + 5000) × 12] : [(3m – 2500) × 8 + (3m – 2500 + 5000) × 4]
= [(m + 5000) × 3] : [(3m – 2500) × 2 + (3m + 2500)]
= (3m + 15000) : (9m – 2500) So, (3m + 15000) : (9m – 2500) = 15 : 26 Or, 26 × (3m + 15000) = 15 × (9m – 2500) Or, 78m + 390000 = 135m – 37500 Or, 57m = 427500 ⇒ m = 7500 ∴ Investment of Anuj = 7500 + 5000 = Rs. 12,500
Kisan and Laxman started a business with the investment of Rs. 1600 and Rs. (y+200) respectively. After four months of the start of business, Mayur join...
A and B together started a business by investing their capital in the ratio of 8:7, respectively and total amount invested by them together is Rs. 1500....
'A' and 'C' started a business by investing Rs. 11,000 and Rs. 13,000, respectively. Seven months later, they invited 'B' to join the business who inves...
Three friends A, B and C entered into partnership by investing Rs. 15X, Rs. (3X + 26) and Rs. (1000 – 6X) respectively. The ratio of the time period o...
Entrepreneurs 'R' and 'M' ventured into a business together, contributing capital in the ratio of 4:3. The time periods for which 'R' and 'M' invested a...
X, Y, and Z each invested amounts of Rs. 60,000, Rs. 180,000, and Rs. 100,000 at an annual simple interest rate of 5%. The investment durations for X, Y...
Makhan Lal started a business with the capital investing Rs 18,400. After 6 months Arvind Lal invested Rs 16200. At the end of one year they made a prof...
Two people 'Anil' and 'Binod' entered into a partnership with an Starting investment of Rs.5,000 and Rs.8,000, individually. After one year, 'Anil' and ...
'A' and 'B' started a business by investing Rs. '5x' and Rs. '4x' respectively. Six months later, 'A' withdrew Rs. 200 from his investment whereas 'B' i...
A started a business with an investment of Rs.12000. After few months B joined him with an investment of Rs.15000. If at the end of the year, they share...
Relevant for Exams:
