Question
Manoj and Naveen started a business with the investment
of Rs. (y-900) and Rs. (y+1300) respectively. After four months of the start of business, the initial investment of Manoj is increased by Rs. 1100 and the initial investment of Naveen is decreased by Rs. 1100. If at the end of one year, the ratio between the profit shares of Manoj and Naveen is 35:37 respectively, then find out the value of ‘y’.Solution
Ratio of the investment of Manoj and Naveen with respect to the time ⇒ (y-900)x4+(y-900+1100)x8 : (y+1300)x4+(y+1300-1100)x8 ⇒ (y-900)+(y+200)x2 : (y+1300)+(y+200)x2 ⇒ (y-900)+(2y+400) : (y+1300)+(2y+400) ⇒ (3y-500) : (3y+1700) The ratio between the profit shares of Manoj and Naveen is 35:37 respectively. So (3y-500)/(3y+1700) = 35/37 37(3y-500) = 35(3y+1700) 111y-18500 = 105y+59500 111y-105y = 18500+59500 6y = 78000 y = 13000
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