Tade bought 200 mangoes at 4 for #2.5. 30 out of the mangoes got spoilt and the remaining of the mangoes were sold at 2 for #2.4. find the percentage profit or loss.
- A. 43.6% loss
- B. 34.4% profit
- C. 35% profit
- D. 28% loss
If Tade bought 100 mangoes at 4 for #2.5,
- he bought one mango for #2.5/4 = #0.625.
- And the total amount he bought 100 mangoes will be: #0.625 X 100 = #62.5
If 30 out of the mangoes got spoilt, the remaining number of mangoes will be:
100 – 30 = 70
If he sold these remaining mangoes at 2 for #2.4, then he sold one mango for #2.4/2 = #1.2, and the total amount realized after sales is:
#1.2 X 70 = #84
We can see that the total amount realized after sales of the remaining mangoes (after removing the spoilt ones) is more than the amount of money he spent to buy the mangoes. There is a gain of:
#84 – #62.5 = #21.5
Hence, the percentage gain will be:
(21.5/62.5) X 100 = 34.4%
Now for the right answer to the above question:
- Option A is incorrect.
- Option B is correct.
- C is incorrect.
- D is not the correct answer.
You may please note these/this:
- When calculating percentage gain or loss, remember to divide the net gain/loss with the initial money spent and not the total money realized.
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/culled from 2019 JAMB-UTME mathematics question 32/
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