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If goods be purchased for Rs. 900 and one third sold at a loss of 10%. At what gain percent should the remainder be sold so as to gain 20% on the whole transaction?
- A30%
- B32%
- C35%
- D28%
Answer not set
Discussion 1
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CCommunity
Given, cost price = Rs. 900
1/3rd of the goods are sold at loss of 10%.
Loss
⇒ Loss = 0.1 × 300 = Rs. 30
Let the gain% at which he sold the remaining goods be ‘a’.
Gain = a% of 600 = 6a
Given, gain% to be earned on total transaction is 20%.
Total gain = 20% of 900
⇒ Total gain = Rs. 180
∴ 6a – 30 = 180
⇒ a = 210/6 = 35%
1/3rd of the goods are sold at loss of 10%.
Loss
⇒ Loss = 0.1 × 300 = Rs. 30
Let the gain% at which he sold the remaining goods be ‘a’.
Gain = a% of 600 = 6a
Given, gain% to be earned on total transaction is 20%.
Total gain = 20% of 900
⇒ Total gain = Rs. 180
∴ 6a – 30 = 180
⇒ a = 210/6 = 35%