Question

A reduction of 20% in the price of rice enables a person to buy 3.5 kg more
rice for Rs 385. The original price of rice is :

| (a) Rs 20 per kg (6) Rs 22.50 per kg (c) Rs 25 per kg (d) Rs 27.50 per kg
​

Answer 1

Step-by-step explanation:

Given  

A reduction of 20% in the price of rice enables a person to buy 3.5 kg more rice for Rs 385. The original price of rice is

Let the original price be x

So new price / kg will be 80 / 100 x x

                                       = 4 x / 5

Now according to question  

                                  385 / 4 x / 5 – 385 / x = 3.5

                              = 1925 / 4 x – 385 / x = 3.5

                                = 1925 – 1540 / 4x = 3.5

                           14 x = 385  

                     So x = 385 / 14

                 Or x = 27.5

Therefore original price of rice is Rs 27.5 / kg