Question

A man purchase 10 pens .he sold 5 pens at 25% profit and remaining 5 pens at 32/3 %loss if he recieve rs 625 in total. find the cost price each pen





same question is in pic make 7c and grave 25 points

Answer 1

no.of pens=10

cp of i pen=x cp of 5 pens =5x

profit.A=25% of c.p= 0.25*5x=1.25x

profit= sp -cp

or, 1.25x=sp-5x

sp=6.25x

2nd condition

loss . amount= 0.833x

loss=cp -sp

or,0.833x=5x-sp

sp=4.17x

sp1+sp2=625

or,6.25x+4.17x=625

x=59.98 or 60

cost  price of i pen is Rs 60

Answer 2

$625 = 5(x+ \frac{x}{4} ) + 5(x- \frac{x}{6} = 10x + 5( \frac{x}{4} - \frac{x}{6} )$

$625 = 10x + \frac{5x}{12}$

$625\times 12 = 125$

$5 \times 12 = x$

Therefore price of each pen is 60.

Verify.

$(x+ \frac{x}{4} ) = 60+ \frac{60}{4} = 75$

Therefore selling price of 5 pens with profit is 75*5 = 375.

2. From point-3, selling price of each pen(with loss) is

$(x- \frac{x}{6} ) = 60 - \frac{60}{6} = 50.$

Therefore selling price of 5 pens at loss is

$5 \times 50 = 250.$

Hence total selling price is

$375+250 = 625$

#SP J2