Multiple choice

Ritu had $400$ mangoes. She sold $60$ mangoes at $25 \%$ gain , $80$ mangoes at $20\%$ gain, $120$ mangoes at $10 \%$ gain, $140$ mangoes at $20 \%$ loss. Her net gain or loss percent is :

  1. $\displaystyle 7\frac { 1 }{ 2 } $
  2. $\displaystyle 4\frac { 3 }{ 4 } $
  3. $\displaystyle 3\frac { 3 }{ 4 } $
  4. $3\dfrac{4}{3}$

  5. None of these
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

Total mangoes = 400. Gains/losses: 60*0.25=15, 80*0.20=16, 120*0.10=12, 140*(-0.20)=-28. Net gain = 15+16+12-28 = 15. Total cost is assumed to be 100 per mango for simplicity (or just use units). Total gain = 15 units. Total cost = 400 units. Gain % = (15/400)*100 = 3.75% = 3 3/4%.

AI explanation

Assume the cost price of one mango is 1 rupee, making the total cost of the 400 mangoes equal to 400 rupees. The total selling price is calculated by summing the individual transactions: (60 * 1.25) + (80 * 1.20) + (120 * 1.10) + (140 * 0.80), which equals 75 + 96 + 132 + 112 = 415 rupees. The net gain is 415 - 400 = 15 rupees. The net gain percentage is (15 / 400) * 100 = 3.75 percent, which equals 3 3/4 percent.

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