Question

a reduction of 20% in the price of salt enables a person to buy 4kg more salt for rs 100. find the decresed price of the salt​

Answer 1

Answer:

Let Original price of Salt= Rs x

Reduction in price of salt = 20%

So, new reduced price

$=x-x \times \frac{20}{100}\\\\=\frac{80x}{100}$------(1)

As, it is given that ,reduction in price enables the person to buy 4 kg more salt for Rs 100.

Reduced Price of one kg of salt  $=\frac{100}{4}=25$------(2)

Equating (1) and (2)  

$\frac{80x}{100}=25\\\\ 4 x=125\\\\ x=31.25$

Original Price of salt= Rs 31.25

Decreased Price of salt = Rs 25

Answer 2

Answer:

Decreased price of Salt = Rs 5 Per kg

Step-by-step explanation:

a reduction of 20% in the price of salt enables a person to buy 4kg more salt for rs 100. find the decreased price of the salt​

Let Say Salt Original Price =  X rs per kg

Price reduced by 20%

20% reduction = (20/100) X = 0.2X

Decreased price of Salt = X - 0.2X = 0.8X Rs per kg

Salt bought with original price in rs 100 = 100/X   kg

Salt bought with Reduced price in Rs 100 = 100/(0.8X)  kg  = 125/X  kg

person was able  to buy 4kg more salt

125/X  - 100/X  = 4

=> 125 - 100 = 4X

=> 4X = 25

=> X = 6.25

Original Price of Salt = Rs 6.25 per kg

Decreased price of Salt = 0.8X = 0.8 * 6.25 = Rs 5 Per kg

Decreased price of Salt = Rs 5 Per kg