Question

amrita brought 20 pens and 10 pencils for rupees 150 she is sold 60% of udit pens and pencils for a profit of rupees 10 each pen was sold at a profit of rupees 10% and each pencil by 50 paise overcost the remaining pen and pen and two pencils could not be sold what is a mutra amrita overall profit or loss

Answer 1

Given :

Amrutha bought 20 pens and 10 pencils for 150 Rupees.  

Sold 60% of the pens and 80% pencils,

Pens Sold for rupees 10 each

Pencil was sold at a profit of 10% and each pencil by 50 Paisa over cost

the remaining pens and pencils could not be sold

To Find : what is Amruta overall profit or loss​

Solution :

Total Cost Price = Rs 150

Pen Cost = A  Rs

Pencil Cost = B   Rs

20A + 10B = 150

=> 2A + B = 15

pencil was sold at a profit of 10% and each pencil by 50 Paisa over cost

=> Pencil Sold at  B + (10/100)B = 1.1B  = B + 50/100

=> 0.1B = 50/100

=> B = 5

2A + B = 15 => A = 5

A = 5 and B = 5

60 % of Pen  = (60/100)20 = 12

Pen sold at  Rs 10 Each

= 12( 10)

= 120

= 120  Rs

80 % of pencils = (80/100)10 = 8

Pencil sold for 5 + 0.5 = 5.5 Rs

= 8(5.5)

= 44 Rs

Total Selling Price = 120 + 44 = Rs 164

Profit = 164 - 150  =14 Rs

Profit % = (14/150) * 100 =  9.33 %

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Answer 2

Given:-amrita brought 20 pens and 10 pencils for rupees 150 she is sold 60% of udit pens and pencils for a profit of rupees 10 each pen was sold at a profit of rupees 10% and each pencil by 50 paise overcost the remaining pen and pen and two pencils could not be sold

To Find:-What is a mutra amrita overall profit or loss

Solution:-

Let the cost of pen and pencil be Rs.x and Rs.y , respectively.

Total cost price=Rs.150

20x+10y=150

10(2x+y)=150

2x+y=150/10

2x+y=15---(1)

pencil sold at x +10%of x=x+50/100

x+(10/100)x=x+50/100

x=50/100×10

x=5 ---put in (1)

2(5)+y=15

y=15-10

y=5

x=5,y=5

60%of pen sold at Rs.10 each

=>60/100×20×10=12×10=Rs.120

80%of pencils were sold at Rs.5.5 each

=>80/100×10×5.5=8×5.5=Rs.44

Total selling price=120+44=Rs.164

As Selling price is > the cost price than there is a profit

Profit=164-150=Rs.14

At Rs.14 profit.