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A, B and C entered into a partnership business. A invested x, Rs. B invested 20% more than A and C invested 25% more than B for first 6 months. After that A left the business and B withdraw half of his investment. B left the business after 4 more months whereas C increased his investment by 33 (1/3)%. If at the end of year difference between profit share of C and (A + B) together is Rs. 1890, then find profit share of B ?

A, B and C entered into a partnership business. A invested x, Rs. B invested 20% more than A and C invested 25% more than B for first 6 months. After that A left the business and B withdraw half of his investment. B left the business after 4 more months whereas C increased his investment by 33 (1/3)%. If at the end of year difference between profit share of C and (A + B) together is Rs. 1890, then find profit share of B ? Correct Answer Rs. 3,360

Given:

Investment of A = x Rs

Investment of B = 20% more than of A = 6x/5

Investment of C = 25% of more than of B = (6x/5) × 5/4 = 3x/2

Formula:

Profit = investment × time period

Calculation:

Ratio of Investment of A, B and C = x  ∶ 6x/5  ∶ 3x/2

= 10x ∶ 12x ∶ 15x

According to question,

Profit share of A : B : C = (10x × 6) ∶ (12x × 6 + 6x × 4) ∶ (15x × 6 + 20x × 6)

⇒ 10x ∶ 16x ∶ 35x

⇒ C – (A + B) = Rs. 1890

35x – (10x + 16x) = Rs. 1890

⇒ 9x = Rs. 1890

⇒ x = 210

Profit share of B = 16x = 16 × 210 = Rs. 3360 

∴ Profit of B is Rs. 3,360 

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