Question

By selling 45 oranges for ₹160, a woman loses20% . How many oranges she sell for ₹112 to gain 20% . Find the dealer's net gain or loss per cent .​

Answer 1

Answer:

Step-by-step explanation:

Let CP be Rs x

case of loss,

SP of 1 orange = Rs 160/45

Loss = 20%

⇒SP = CP - Loss

        = x - 20% of x = x - 0.2x = 0.8x

⇒160/45 = 0.8x  

⇒x = Rs 40/9

case of gain,

Let the number of orange be y

SP of 1 orange = Rs 112/y

SP = CP + gain

     = x + 20% of x = x +0.2x = 1.2x = 1.2×(40/9)

⇒112/y = 1.2×(40/9)

⇒y = 21

so, 21 oranges should she sell for rupees 112 to gain 20% on the whole.