The price of rice is increased by 25% and as a result, a person can have 4kg less rice for Rs.400. What is the increase price of rice per kg?a)Rs. 22.5 kgb)Rs. 20 kgc)Rs. 25 kgd)Rs. 30 kgCorrect answer is option 'C'. Can you explain this answer?

Question

Answer

Answer

Increase In price of rice =25%
therefore , increase in Rs. 400 = 25%of 400 = 100;

he purchased 4 lg less for RS.400;
so, rate of 4 kg = 100;( as he purchased 4 kg less due to increase in price by Rs.100)
increase in price per kg=100/4= 25 op(c)

Answer

Before increased price=x rs/kg increased price =y rs/kg new price》 x+0.25x= y 》1.25x=y Before increased price, x rs. for 1 kg 400 rs. for ? =400/x kg. After increased price, y rs. for 1 kg 400 rs. for ? kg =400/y kg. So, from the condition given in question, (400/x) - 4 = (400/y) By solving this, x = 20 Rs./kg And as y=1.25x, y=25Rs./kg.

Answer

Given:

- Price of rice increased by 25%
- A person can have 4kg less rice for Rs.400

To find: Increase price of rice per kg

Solution:

Let's assume the original price of rice per kg = Rs. x

After the price increase of 25%, the new price per kg = Rs. 1.25x

Let's assume the original quantity of rice purchased = y kg

After the price increase, the new quantity of rice purchased = (y-4) kg

According to the given information, the amount spent on rice remains the same i.e. Rs. 400

Therefore,

Original cost of rice = price per kg * quantity of rice purchased = xy

New cost of rice = new price per kg * new quantity of rice purchased = (1.25x)*(y-4)

As per the given information, both costs should be the same. So we can equate them.

xy = (1.25x)*(y-4)

Simplifying the above equation, we get:

y = 20

So the person originally purchased 20 kg of rice.

Now, we can find the increase in price per kg as follows:

New price per kg - Original price per kg = 1.25x - x = 0.25x

Given that, original price per kg = Rs. x

So, increase in price per kg = 0.25x

Substituting x = Rs. 20 (as per option C)

Increase in price per kg = 0.25 * 20 = Rs. 5

Therefore, the increase price of rice per kg is Rs. 25 (option C).

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