Question

sunita sold a bangle for rs.4500 and lost 10%. for how much should she have sold it to gain 20%

Answer 1

SP = rs. 4500
loss = 10%
90/100 of CP = rs. 4500
⇒90/100 * CP = rs. 4500
∴CP = 4500 ÷ 90/100
        = 4500 * 100/90
        = rs. 5000
20% of rs 5000 = 20/100 * 5000
                         = rs. 1000
∴ to gain 20 % he should sell it at rs. 5000 + rs. 1000 = rs 6000

Answer 2

 

sp = 4500

loss = 10%

then find the CP

let the CP be X

so

X × 90/100 = 4500

X = 4500×100/90

X = 5000

now earn gain to 20%

so

profit = 5000×20/100

profit = 1000