A man saves a certain part of his income every month , so that he can purchase a car in one year. By what Percent % increase in his saving , so that he can puchase the same car in nine months.
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Step-by-step explanation:
According to given data we have,
Let S1 & S2 denote the monthly rate of savings from monthly-incomes over the periods of 16 months & 14 months respectively.
Hence the purchase price of the car = 16*S1 = 14*S2
or S2 = (8/7)*S1 = (1 + 1/7)*S1
or S2 = (1 + 0.14286)*S1 = (1 + 14.286/100)*S1
Therefore, the required percentage of increase in the savings to purchase the same car in 14 months only = 14.286% [Ans]
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