Question

by selling a sofa set for 10,240,Ajay incurred a loss of 20% .If he wanted to make a profit of 8%,at what price should he have sold it?

Answer 1

sp=10240

loss=20%

C.P.=(100/100−Loss%)×S.P.

    =100/80 x 10240

c.p.=12800

S.P.=(100+Gain%/100)×C.P.

   =108/100 x 12800

   =108 x 128

s.p.=13824

he must sold it for 13824

Answer 2

$<b>Answer:</b>$

13824

$<b>Step-by-step explanation:</b>$

Given, Selling price = 10240.

Given, Loss = 20%.

Let the cost price be 'x'.

∴ $<b>Selling price = Cost price - Loss</b>$

⇒ 10240 = x - (20x/100)

⇒ 10240 = 80x/100

⇒ 1024000 = 80x

⇒ $\large{\boxed{\boxed{12800 = x.}}}$

Hence, the cost price is 12800.

Given, Profit = 8%.

∴ Selling price = [(100 + gain%)/100)] * CP

                        = [(100 + 8)/100] * 12800

                        = (108/100) * 12800

                        = $<b>13824.</b>$

Therefore, Selling price of the sofa set = 13824.

Hope it helps!

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