Question

due to 20% fall in the price of wheat a man purchase 2.5 kg wheat more for Rs 160 find the original and reduced price of wheat per kg​

Answer 1

Step-by-step explanation:

Given  

due to 20% fall in the price of wheat a man purchase 2.5 kg wheat more for Rs 160 find the original and reduced price of wheat per kg

• Let initial price of 100 kg wheat be Rs 100
• Now 20% fall in price will be 100 – 20 = Rs 80
• So for Rs 80 we get 100 kg wheat
• Therefore for Re 1 it will be 100 / 80 kg wheat
•        So for Rs 100 = 100 x 100 / 80
•                               = 125 kg wheat
• Increase in wheat = 25 kg
• % rise = 25 x 100 / 100
•             = 25%
• Means 20% rate decrease, 25% of consumption increase
• Now we have inverse proportion.
• So 25% will be 2.5 kg
• So initially total wheat = 2.5 x 4 = 10 kg (20 /80 = 1/4)
• Therefore original price of wheat was 160 / 10 = Rs 10 per kg.
• So reduced price of wheat = 80 / 100 x 10 = Rs 8

Answer 2

Answer:

Rs16 is the original price and Rs 12.8 is the reduced price.

Step-by-step explanation:

Let the initial cost price per kg of wheat be X.

Amount of money= Rs 160.

Quantity of wheat = 160/X kg.

When price fall 20%, then the cost price of wheat is ((100-20) /100) ×X=0.8X kg.

Quantity of wheat purchased= (160/0.8X)

=200/X.

Now as per question,

(200/X) -(160/X) = 2.5 kg.

40/X =2.5

X=(40/2.5) = 16

Therefore the initial cost price of the wheat is Rs 16.

Cost price of the wheat after fall in price is Rs (0.8×16) = Rs 12.8