Question

A grocer mixes 26 kg of wheat at rs. 20 per kg with 30 kg of wheat of other variety at rs. 36 per kg and sells the mixture at rs. 30 per kg. What is his profit percent?

Answer 1

Given : AB = AC and D, E and F are mid points in BC, AB and AC respectively.

To Prove : AD is perpendicular to EF and is bisected by it

To construct : Join DE and DF.

Proof : Since EF are formed by joing mid points of triangle then EF || BC.

And since parallel lines are at 90° angle hence AD is perpendicular to EF.

Now, DF || AB and DF = 1 AB / 2

Since 1 AB / 2 = BE

DF = BE

Now, AB = AC

1 AB / 2 = 1 AC / 2

BE = AF

DF = AF

Now, taking triangle AOF and DOF.

DF = AF ( Proved above )

OF = OF ( Common )

angle AOF = ange DOF ( 90° each )

Hence triangle AOF ~ DOF by RHS congruency. Thus, AO = OD.

Hence EF bisect AD.

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Answer 2

Answer:

Step-by-step explanation:

cost of 26kg of wheat =26*20= rs 520 // rate of 20 per kg

similarly 30 kg wheat =30*36= rs 1080 // rate of 36 per kg

let this total sum of mixture as a cost price which is = 1080+520

                                                                                       =1600

the mixture contain total weight of wheat = 26+30=56kg

mixture selling rate =30 per kg

amount earned for selling 56kg mixture at a rate of 30 per kg=56*30=1680

profit earned=selling price-cost price

                     =1680-1600=80

profit%=  (profit/cp)*100=(80/1600)*100=5%

correct answer is 5%

hope this will help you.

thankyou