Question

A man sold 2 Tv set for rs. 3420 on first he gained 25% and on second he suffered a loss of 10%. Find overall profit or loss if cost price of second Tv is same as selling price of first TV

Answer 1

Hi ,

Selling price of 2 T.V sets = Rs3420

Let the cost price of first T.V (cp1) = Rs x

i ) c.p1= Rs x

gain ( g ) = 25%

s.p1= cp1 ( 100 + g )/100

= x [ 100 + 25 ]/100

= 5x/4 ----( 1 )

ii ) c.p of second TV (cp2) = sp1

cp2 = 5x/4

loss ( l ) = 10%

sp2 =( cp2)( 100 - l )/100

= (5x/4 )( 100 - 10 )/100

= (5x/4)(9/10)

sp2= 9x/8 ---( 2 )

iii ) Total selling price of 2 T.V sets

= ( 1 ) + ( 2 )

= 5x/4 + 9x/8

= ( 10x + 9x )/8

= 19x/8------( 3 )

But Given Selling price = Rs 3420

19x/8 = 3420 [ from ( 3 ) ]

=> x = ( 3420 × 8 )/19

x = 1440 -------( 4 )

Now ,

total cost price of 2 t.v sets =

= cp1 + cp2

= x + 5x/4

= ( 4x + 5x )/4

= 9x/4

= ( 9 × 1440)/4 [ from ( 4 ) ]

= 3240

Total c.p of 2 t.v sets = Rs 3240

Total sp = Rs 3420

Total sp > total CP

He gets profit .

overall gain =total sp - total CP

= Rs 3420 - Rs 3240

= Rs 180

Therefore ,

He gets overall profit

Rs 180

I hope this helps you.

: )