Rishi and Manu started a business with the investment of Rs. (z-6000) and (2z-7000). After 8 months of the start of business, Manu left it and Chintu joined with the investment of Rs. (z+4000) and Rishi increased his investment by 50%. After another 6 months, Rishi and Chintu decreased their investment by Rs. 5000 and Manu rejoined the business with the investment of Rs. (z+4000). At the end of two years, if there is a total profit of Rs. 50400 and the profit share of Chintu is Rs. 12900, then (2z-7000) is what percentage of (z-6000)?

Solution

Ratio of investment with respect to the time for the investment of Rishi, Manu and Chintu ⇒ (z-6000)x8+150% of (z-6000)x6+[150% of (z-6000)-5000]x10 : (2z-7000)x8+(z+4000)x10 : (z+4000)x6+[(z+4000)-5000]x10 At the end of two years, if there is a total profit of Rs. 50400 and the profit share of Chintu is Rs. 12900. [(z+4000)x6+[(z+4000)-5000]x10]/[(z-6000)x8+150% of (z-6000)x6+[150% of (z-6000)-5000]x10 + (2z-7000)x8+(z+4000)x10] = 12900/(50400-12900) [6z+24000+[z-1000]x10]/[(8z-48000)+1.5x(z-6000)x6+[1.5x(z-6000)-5000]x10 + (16z-56000)+10z+40000] = 12900/37500 [6z+24000+10z-10000]/[(8z-48000)+9z-54000+[1.5z-9000-5000]x10+26z-16000] = 43/125 [16z+14000]/[(8z-48000)+9z-54000+[1.5z-14000]x10+26z-16000] = 43/125 [16z+14000]/[(8z-48000)+9z-54000+15z-140000+26z-16000] = 43/125 [16z+14000]/[58z-258000] = 43/125 After solving the above equation, z = 26000 Required percentage = [(2z-7000)/(z-6000)]x100 Put the value of ‘z’ in the above equation. = [(2x26000-7000)/(26000-6000)]x100 = [(52000-7000)/20000]x100 = [45000/20000]x100 = 45000/200 = 225%