The price of an article increased successively over three consecutive weeks. It increased by $10 %$ in the first week, $20 %$ in the second week and $25 %$ in the third week. Find the effective percentage increase in its price after three weeks.

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Solution

Prince after first week $= x + 10$ % of $x = 1.1 x$
Original Price $= x$
Price after $2$ weeks $= 1.1 x + 20$ % of $1.1 x = 1.32 x$
Price after $3$ weeks $= 1.32 x + 30$ % of $1.32 x = 1.716 x$
So, Total Percentage increase $= (\frac{1.716 + - x}{x}) \times 100 = 71.6$ %

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The price of an article increased successively over three consecutive weeks. It increased by 10% in the first week, 20% in the second week and 25% in the third week. Find the effective percentage increase in its price after three weeks.

Prince after first week =x+10% of x=1.1xOriginal Price =xPrice after 2 weeks =1.1x+20% of 1.1x=1.32xPrice after 3 weeks =1.32x+30% of 1.32x=1.716xSo, Total Percentage increase =(1.716+−xx)×100=71.6%

The price of an article increased successively over three consecutive weeks. It increased by $10 %$ in the first week, $20 %$ in the second week and $25 %$ in the third week. Find the effective percentage increase in its price after three weeks.

Prince after first week $= x + 10$ % of $x = 1.1 x$
Original Price $= x$
Price after $2$ weeks $= 1.1 x + 20$ % of $1.1 x = 1.32 x$
Price after $3$ weeks $= 1.32 x + 30$ % of $1.32 x = 1.716 x$
So, Total Percentage increase $= (\frac{1.716 + - x}{x}) \times 100 = 71.6$ %