# 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

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by dilipaSaran

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Soution:

Amount = 400

Let the initial price of 1kg rice = x

Quantity of Rice* Price of 1kg of rice = Amount

Quantity of Rice (Q1)= 400/x ----- (ist Equation)

After Increment of Price ,

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 ,

and

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

Hence the price of 1 kg of Rice =

therefore , Increased price of 1 kg rice = 1.25*16 =

and Increase in 1 kg price = 20 - 16 =

Hope this helps you!!

Thank You!!