# Due to 25% increase in price of rice/kg a man able to purchase 20 kilograms less for Rs.400. what is the increase price of rice/kg.

1
by dilipaSaran

• Brainly User
2015-05-22T17:59:28+05:30
Soution:
Amount = 400
Let the initial price of 1kg rice = x
therefore ,
Quantity of Rice* Price of 1kg of rice = Amount
Quantity of Rice  (Q1)= 400/x  ----- (ist Equation)
After Increment of Price ,
Price of 1 kg Rice  = 125%x  = 125/100x = 1.25x
Quantity of Rice becomes = Q1 - 20 Kg (Given)
We know that ,
Quantity of Rice *Price of 1 kg Rice = Amount
Quantity of Rice (Q2)  = 400/1.25x ------(2nd Equation)
We know that ,
Q2 = Q1 - 20
and Q1 = 400 /x (From Ist Equation)
hence ,
Substituting Q1 and Q2 in 2nd , we get
400/x - 20 =400/1.25x
or 400/x - 400/1.25x - 20 =0
or 400/x[1 - 1/1.25] - 20 = 0
or 400 /x [(1.25 - 1)/1.25] - 20 = 0
or 400/x *1/1.25 = 20
or 400/x * 100/125 = 20
or 400/x *4/5 = 20
or 80/x *4 = 20
or 320 / x = 20
or x = 320/20
or x = 16
Hence the price of 1 kg of Rice = 16  rupees
therefore , Increased price of 1 kg rice = 1.25*16 = 20 rupees
and Increase in 1 kg price = 20 - 16 = 4 Rupees

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