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# A $60\$$jacket is on sale for 20% off. How much is the jacket after the discount? Last updated date: 13th Jun 2024 Total views: 372.9k Views today: 5.72k Answer Verified 372.9k+ views Hint: We first find the formula to form the discounted or hiked price over a certain price. Using the formula and putting the required values for our given problem, we find the required solution of the problem. Complete step by step solution: A 60\$$ jacket is on sale for 20% off. We need to find the price of the jacket after the discount. Let us assume the price of any particular thing as$x$. We have y% discount on the price. Then the final price after the discount becomes$x\left( 1-\dfrac{y}{100} \right)$. In case of price hike, we will use the binary operation of addition instead of subtraction. The formula changes to$x\left( 1+\dfrac{y}{100} \right)$. For our given problem we place the values where$x=60,y=20$. The discounted price will be$60\left( 1-\dfrac{20}{100} \right)$. We first complete the division of$\dfrac{20}{100}$. For our given fraction$\dfrac{20}{100}$, the G.C.D of the denominator and the numerator is 20. Now we divide both the denominator and the numerator with 20 and get$\dfrac{{}^{20}/{}_{20}}{{}^{100}/{}_{20}}=\dfrac{1}{5}$. Putting the value, we get$60\left( 1-\dfrac{20}{100} \right)=60\left( 1-\dfrac{1}{5} \right)=\dfrac{60\times 4}{5}$. The multiplication gives$60\times 4=240$. The division gives$\dfrac{240}{5}=48$. Therefore, the discounted price of the jacket will$48\$$Note: We also could use the concept of 100. We use the main price as 100. We adjust the price hike or discount on 10. For our problem the discount was 20% which gives the discounted price as 100-20=80. This 100 is equal to 60\$$ in the real case and we need to find the 80.
So, the discounted price is $60\times \dfrac{80}{100}=48$.