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  • qais
  • Content Quality
2016-03-29T07:41:14+05:30

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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.
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