Question

6. A T.V. set is sold for 6,800 at a loss of 15%.
Find : (i) cost price of the T.V. set.
(ii) new selling price of it, in order to gain 12%​

Answer 1

Answer:

a)  THE CP IS ₹8000

b) THE SP IS ₹8960

Step-by-step explanation:

a)

   LET THE CP BE x

   SP = ₹6,800

   L% = 15%

  SO,

  WE KNOW,

  L% = (L/CP)*100

  15 = [(x-6800)/x]*100

  15/100= [(x-6800)/x]

  3x/20=(x-6800)

  3x=20(x-6800)

  3x = 20x-136000

  136000 = 17x

  x = 136000/17

  x = ₹8000

SO,

CP IS ₹8000

b)

  CP=₹8000

  P% = 12%

   LET THE SP BE x

  SO,

  WE KNOW,

  P% = (P/CP)*100

 12 = [(x-8000)/8000]*100

 12 = [(x-8000)/80

 12 * 80 = (x-8000)

 960 = x-8000

 960 + 8000 = x

 8960 = x

SO,

SP IS ₹8960

I HOPE YOU UNDERSTOOD THE QUESTION

Answer 2

Answer:

1. SP of T.V = ₹6,800 , loss=15
2. CP= {100/100-loss%}×SP
3. CP= {100/100-15}×6,800
4. CP={100/85}×6,800
5. CP=₹8,000 ans

NEXT,

1. CP=₹8,000 , gain=12%
2. SP={100+gain%/100}×CP
3. SP=-{100+12/100}×8,000
4. SP={112/100}×8,000
5. SP=₹8,960 ans