A, B and C started a partnership with investment of Rs. X - 1200, Rs. X and Rs. X + 1800. If profit of B is invested in a scheme at the rate of 18% for 5 yrs at SI, then the interest received [is Rs.3600. If the total profit in the partnership is Rs.4800 more than the double of the profit of B. Which of the following/s is/are true.

i) Sum of investment of A and B is equal to C.

ii) Value of X is multiple of 18.

iii) A gets 18.75% of the total profit.

Solution

Profit earned by B, 3600 = (x × 18 x 5)/100 X = (3600 x 100)/(18 x 5) = Rs. 4000 Given that, total profit in the partnership is Rs.4800 more than the double of the profit of B. Total profit = 4800 + 2 × 4000 = Rs. 12800 Now, x/(2x + 600) = 4000/8800 => x/(2x + 600) = 5/11 => 11x = 5(2x + 600) => 11x = 10x + 3000 => x = 3000 So, Investment of A = 3000 – 1200 = Rs. 1800 Investment of B = 3000 Investment of C = x + 1800 = 3000 + 1800 = Rs. 4800 Statement i: 1800 + 3000 = 4800 4800 = 4800 Statement i is true. Statement ii: x = 3000, which is not the multiple of 18. Statement iii: A = 1800/(1800 + 3000 + 4800) = 18/96 x 100 = 18.75%, which is true.