Question

The price of the shirt decreased from Rs. 80 to Rs. 60. Find the percentage of decreased price.

Answer 1

Hint: Calculate the decrease price by subtracting the old price from the new one. The decreased percentage can be calculated as:
 $D\% = \left( {\dfrac{{DP}}{{OP}} \times 100} \right)\% $ where,
DP = Decreased Price
OP = Original Price
D % = Decreased Percentage

Complete step-by-step answer:
Original price of shirt (OP) = Rs. 80
New price of shirt (NP) = Rs. 60
Decreased price = Original price – New price
Decreased price (DP) = Rs. 80 - Rs. 60
= Rs. 20
Decreased percentage (D%) is given as:
$D\% = \left( {\dfrac{{DP}}{{OP}} \times 100} \right)\% $
Substituting the values, we get:
$D\% = \left( {\dfrac{{20}}{{80}} \times 100} \right)\% $
D % = 25 %
Therefore, if the price of the shirt gets decreased from Rs. 80 to Rs. 60 the percentage of the decreased price is 25 %.

Note: To find the decreased price we subtract the new price from the original price and to find the increased price, we subtract the original price from the new price.
Generally, the smaller quantity is subtracted from the larger quantity so as to obtain a positive value.
We use percentage so as to carry out the comparison between the two quantities and in literal terms means per 100.
When we say 100 %, we refer that the quantity is whole.
We use the percentage increased or percentage decreased concept so as to know how much value a quantity has gained or lost. This quantity can be population, cost, tax, etc.