Question

A, B and C centered into a business and their investments ratio was 5 : 4 : 3. After 4 months B invested Rs. 1,000 more and after 8 months C invested Rs. 2,000 more. At the end of one year the profit ratio was 15 : 14 : 11, then the investment of C at the beginning was

Answer 1

please see the attachment

Answer 2

The investment of C at the beginning is Rs 3000

Solution:

A, B and C centered into a business and their investments ratio was 5 : 4 : 3

Let the amount invested by A be 5x

Let the amount invested by B be 4x

Let the amount invested by C be 3x

After 4 months B invested Rs. 1,000 more and after 8 months C invested Rs. 2,000 more

At the end of year, investments of A,B,C are:

$5x \times 12 : (4x \times 4 + (4x + 1000) \times 8) : (3x \times 8 + (3x + 2000) \times 4)\\\\60x : 48x + 8000 : 36x + 8000\\\\Reduce\ to\ lowest\ terms\\\\15x : 12x + 2000 : 9x + 2000$

At the end of one year the profit ratio was 15 : 14 : 11

Take the ratio of A and B

$\frac{15x}{12x + 2000} = \frac{15}{14}\\\\15x \times 14 = 15(12x + 2000)\\\\14x = 12x + 2000\\\\2x = 2000\\\\x = 1000$

Amount invested by C = 3x = 3(1000) = 3000

Thus, the investment of C at the beginning is Rs 3000

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