Answer:
800
Explanation:
Given: The selling price of bed is 2400.
Discount offered is 25%
Lets assume the cost of bed be "x"
Discount offered on the cost price of bed=
![(25)/(100) * x= 0.25x](https://img.qammunity.org/2021/formulas/mathematics/middle-school/yuptrwtjeu9cu8q07wow873xclyf8uh8u7.png)
∴ Discount offered on the cost price of bed= 0.25x
We know the selling price of bed after discount provided.
Finding the cost price of the bed.
⇒
![x-0.25x= 2400](https://img.qammunity.org/2021/formulas/mathematics/middle-school/baklcf1cwa70ngin9qfkdbksdiv82dfzzd.png)
⇒
![0.75x= 2400](https://img.qammunity.org/2021/formulas/mathematics/middle-school/4kt208614rl1024ljip86rnyxjm1udf5n0.png)
cross multiplying both side.
∴
![x= (2400)/(0.75) = 3200](https://img.qammunity.org/2021/formulas/mathematics/middle-school/diqy5qhdvnum9qevuoq5vumkuldxde80wh.png)
∴ Cost price of the bed is 3200.
We know selling price of the bed is 2400.
Now, finding the saving.
Saving on the price of bed= Cost price- selling price
Saving=
![3200-2400= 800](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mvgwkfy4sfj3qi0hjgpilpknamfrmcx7q0.png)
Hence, saving on the purchase of the bed is 800.