   Question Answers

# The ratio in which Aman and Bimal have contributed to the capital of a company is 3:4. Bimal has invested his capital for only 3 months and has received half as much profit as Aman, at the end of the year. Find out for how much time has Aman invested his capital in the company.A) 8 monthsB) 14 monthsC) 15 monthsD) 1 year  Hint- In order to solve this question first we will find out their effective investment ratio by assuming that Aman invested his money for t months and according to the given statement we will equate this ratio to an integer. Use these concepts to reach the answer.

Given that Aman and Bimal invested in a ratio $3:4$ and Bimal has invested his capital for only 3 months and has received half as much profit as Aman, at the end of the year.
Let us assume Aman has invested his capital for t months
Effective investment ratio $= 3 \times$ Aman’s investment time : $4 \times$ Bimal’s investment time
By substituting the values, we get
Effective investment ratio $= 3t:4 \times 3$
$= 3t:12 \\ = t:4 \\$
Now according to the given statement that Bimal has received half as much profit as Aman.
So profit is also divided into the same effective investment ratio. So we can write-
$\therefore \dfrac{t}{4} = \dfrac{2}{1} \\ \Rightarrow t = 8{\text{months}} \\$
Hence, Aman has invested his capital for 8 months
So, the correct answer is option A.

Note- A ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. A ratio compares two quantities by division, with the dividend or number being divided termed the antecedent and the divisor or number that is dividing termed the consequent.

View Notes
Ratio and Proportion Formula  CBSE Class 6 Maths Chapter 12 - Ratio and Proportion Formulas  Poisson's Ratio  Sacrificing Ratio  Ratio Analysis Formulas  CBSE Class 8 Maths Chapter 12 - Exponents and Powers Formulas  CBSE Class 8 Maths Chapter 6 - Squares and Square Roots Formulas  CBSE Class 8 Maths Chapter 9 - Algebraic Expressions and Identities Formulas  CBSE Class 8 Maths Chapter 7 - Cubes and Cube Roots Formulas  CBSE Class 8 Maths Chapter 13 - Direct and Inverse Proportions Formulas  Important Questions for CBSE Class 6 Maths Chapter 12 - Ratio and Proportion  CBSE Class 8 Science Stars and The Solar System Worksheets  Important Questions for CBSE Class 8 Social Science - Social and Political Life Chapter 8 - Confronting Marginalisation  CBSE Class 8 Science Force and Pressure Worksheets  CBSE Class 8 Science Combustion and Flame Worksheets  CBSE Class 8 Science Coal and Petroleum Worksheets  CBSE Class 8 Science Cell Worksheets  CBSE Class 8 Science Microorganisms : Friend and Foe Worksheets  CBSE Class 8 Science Crop Production and Management Worksheets  CBSE Class 8 Science Synthetic Fibres and Plastics Worksheets  CBSE Class 12 Maths Question Paper 2020  CBSE Class 10 English Language and Literature Question Paper with Solutions  English Language and Literature Question Paper for CBSE Class 10 - 2012  English Language and Literature Question Paper for CBSE Class 10 - 2010  English Language and Literature Question Paper for CBSE Class 10 - 2011  CBSE Class 10 Maths Question Paper 2020  Maths Question Paper for CBSE Class 10 - 2011  Maths Question Paper for CBSE Class 10 - 2008  CBSE Class 10 Maths Question Paper 2017  Maths Question Paper for CBSE Class 10 - 2012  NCERT Solutions for Class 6 Maths Chapter 12  RS Aggarwal Class 7 Solutions Chapter-8 Ratio and Proportion  NCERT Exemplar for Class 6 Maths Solutions Chapter 8 Ratio & Proportion  NCERT Solutions for Class 6 Maths Chapter 12 Ratio and Proportion in Hindi  RS Aggarwal Solutions Class 7 Chapter-8 Ratio and Proportion (Ex 8C) Exercise 8.3  RS Aggarwal Solutions Class 7 Chapter-8 Ratio and Proportion (Ex 8A) Exercise 8.1  RS Aggarwal Solutions Class 7 Chapter-8 Ratio and Proportion (Ex 8B) Exercise 8.2  RD Sharma Class 6 Maths Solutions Chapter 9 - Ratio, Proportion and Unitary Method  NCERT Solutions for Class 8 Maths Chapter 8 Comparing Quantities in Hindi  Cell Structure and Functions NCERT Solutions - Class 8 Science  