Question

price of a room heater is reduced by 25% if its original price was rupees 1800 then find the reduced price

Answer 1

Answer:

Step-by-step explanation:

the price of room heater is reduced by 25% if its original price was 1800 then find the reduced price

Answer 2

The reduced price of the room heater is equal to Rs. 1350.

Given:

Original price of the room heater = Rs.1800

Percent decrease in the price of room heater = 25 %

To Find:

The reduced price of the room heater.

Solution:

→ If a quantity which was initially Q, decreases by ΔQ, then the per cent decrease in the quantity is given as:

         $Percent\:decrease\:in\:the\:Quantity=\frac{Decrease\:in\:the\:Quantity}{Original\:Quantity}\times100\\\\Percent\:decrease\:in\:the\:Quantity=\frac{\triangle Q}{Q}\times100$

→ Let the decrease in the price of the room heater be 'x'.

$Percent\:decrease\:in\:price\:of\:room \:heater=\frac{Decrease\:in\:price\:of\:room\:heater}{Original\:price\:of\:room\:heater} \times100$

 $\therefore Percent\:decrease\:in\:price\:of\:room \:heater=\frac{x}{1800}\times100$

∵ The percent decrease in the price of room heater is equal to 25 %.

                                           $\therefore 25=\frac{x}{1800} \times100\\\\\therefore 25=\frac{x}{18} \\\\\therefore x=25\times 18\\\\\therefore x=450$

∴ The decrease in the price of the room heater is equal to Rs.450.

∴ The reduced price of the room heater = 1800 - 450 = Rs. 1350

Therefore the reduced price of the room heater is equal to Rs. 1350.

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