Question

If 30% is lost by selling a sofa set for Rs 980 at what price must it sold to gain 10%?plz explain in detail

Answer 1

hello Frnd

here is your answer

Let the Cost price be X
Selling price = 980
Loss on sale = 30%


As we know that

Sales Price = Cost - Loss
980 = X - X × 30/100
980 = 70X/100
98000 = 70X
X = 1400


Hence The Cost Price was ₹ 1400 but he sold at ₹ 980, Which cause loss of ₹ 420 Which is 30%

Now, For how much money Sofa should be sold to get 10% profit

Profit = 1400 × 10/100
= 140

Sales price = Cost + Profit
Sales price = 1400 + 140
Sales Price = 1540


Therefore, Sofa set should be sold at ₹ 1540 To get 10% Profit.



hope it helps
jerri

Answer 2

loss%=30
then Cost price=100*SP/(100-loss%)
CP=100*980/100-30
CP=98000/70
CP=1400
so SP of sofa to gain 10% IS
SP=(100+GAIN%)CP/100
SP=(100+10)*1400/100
SP=110*1400/100
SP=RS 1540