Question
X and Y invested Rs. 2800 and Rs. 4200 respectively into
a business. After 3 months, Z joined them with an investment of Rs. ‘x’. If the share of X in the total annual profit of Rs. 2100 is Rs. 525, then find the value of ‘x’.Solution
Ratio of investments of X : Y : Z = 2800 : 4200 : x Ratio of profit share of X : Y : Z = (2800 × 12) : (4200 × 12) : (x × 9) = 33600 : 50400 : 9x So, 33600 / (33600 + 50400 + 9x) = 525 / 2100 84000 + 9x = 33600 × (2100 / 525) 84000 + 9x = 134400 9x = 50400 x = 5600 So, the value of ‘x’ is Rs.5600
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