Question

If 30 percent is lost by selling a sofa set for 980,at what price must it be sold to gain 10percent?

Answer 1

lost%=30%
SP=980
Let CP be x
then loss=CP-SP
therefore x-980=loss
acc. to the question
x-980÷x ×100=30%
100x-9800=30x
70x=9800
x=1400
therefore; cost price =1400
now
gain%= SP-CP÷CP×100
10%=x-1400÷1400×100
x-1400=140
x=1400+140
x=1540

Answer 2

Answer :

S.P =₹ 1540

Step-by-step explanation :

S.P of the sofa set= ₹980

Loss= 30%

C.P =( 100×S.P/100-Loss%)

C.P =( 100× 980/100-30)

C.P = (100×980/70)

C.P = 100×14

C.P= ₹1400

C.P of the sofa set= ₹ 1400

Desired gain= 10%

S.P =( 100+gain%/100)× C.P

S.P =( (100+10)/100)×1400

S.P = (110 ×1400)/100

S.P= 110× 14

S.P =₹ 1540