Mathematics · Partnership

Compare the following quantities: Quantity I: Rahul, Sameer, and Vikram invested Rs. M, Rs. 3M, and Rs. (M + 4000), respectively, in a business. After 8 months, Rahul withdrew Rs. 2000, and Vikram added Rs. 1500 to his investment. After one year, Rahul's profit is Rs. 6000 out of a total profit of Rs. 42000. Find approximately how much percent more or less Sameer's initial investment is than Vikram's initial investment. Quantity II: Sonal invested Rs. 2000 for P months, and Tanvi invested Rs. 500 more than 150% of Sonal's investment, for Q months. At the end of (P + Q - 8) months, their profit ratio was 45 : 77. If the difference between P and Q is 3 months, find (P + Q - 8). Quantity III: If 78 of W = Z and (4W + 5Z) = 1044, find the value of [ (W + Z) ÷ 11 ].