Question

Firojchacha got total rs 719.50 by selling a pant at 20% profit and shirt at 15% profit, if he would sell the pant at 25% profit and the shirt at 20% profit then je would get rs 30.50 more, let us calculate the cost price of the pant and shirt

Answer 1

Step-by-step explanation:

Given -

• By selling a Pant at 20% profit and Shirt at 15% profit Firojchacha got total Rs 719.50
• If he would sell the Pant at 25% profit and the Shirt at 20% profit then he would get Rs 30.50 more

To Find -

The cost price of the Pant and Shirt

Now,

Let cost of pant be x

and

cost of shaded shirt be y

Case I :-

• Firojchacha sell Pant at 20 % profit

It means,

» x × 20/100

• » x/5

And

• Firojchacha sell Shirt at 15 % profit

It means,

» y × 15/100

• » 3y/20

So,

x + x/5 + y + 3y/20 = 719.50

» 6x/5 + 23y/20 = 719.50

• » 1.2x + 1.15y = 719.5 ....... (a)

Case II :-

• If Firojchacha sell Pant at 25 % profit

It means,

» x × 25/100

• » x/4

And

• If Firojchacha sell Shirt at 20 % profit

It means,

» y × 20/100

• » y/5

So,

x + x/4 + y + y/5 = 750

» 5x/4 + 6y/5 = 750

• » 1.25x + 1.2y = 750 ......... (b)

Solving equation (a) and (b)

By Elimination method :-

» [ 1.2x + 1.15y = 719.5 ] × 1.25

[ 1.25x + 1.2y = 750 ] × 1.2

(-) (-) (-)

_____________________

1.4375y - 1.44y = 899.375 - 900

» - 0.0025y = - 0.625

» y = 0.625/0.0025

• » y = 250

Substituting the value of y on equation (b)

1.25x + 1.2y = 750

» 1.25x + 1.2(250) = 750

» 1.25x + 300 = 750

» 1.25x = 750 - 300

» 1.25x = 450

» x = 450/1.25

• » x = 360

Hence,

The cost of pant is Rs 360

And

The cost of shirt is Rs 250

Verification -

• 1.2x + 1.15y = 719.5

» 1.2(360) + 1.15(250) = 719.5

» 432 + 287.5 = 719.5

» 719.5 = 719.5

LHS = RHS

And

• 1.25x + 1.2y = 750

» 1.25(360) + 1.2(250) = 750

» 450 + 300 = 750

» 750 = 750

LHS = RHS

Hence,

Verified..

Answer 2

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