Multiple choice

A shopkeeper sells one transistor for $Rs. 840$ at a gain of $20$% and another for $Rs. 960$ at a loss of $4$%. His total gain or loss percent is

  1. $15\dfrac {15}{17}$% loss
  2. $5\dfrac {15}{17}$% gain
  3. $6\dfrac {2}{3}$% gain

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

CP1 = 840/1.2 = 700. CP2 = 960/0.96 = 1000. Total CP = 1700. Total SP = 840 + 960 = 1800. Gain = 100. Gain % = (100/1700)*100 = 100/17 = 5.88%, which is 5 15/17%.

AI explanation

Using the cost price formula CP equals (100 divided by (100 plus gain percent)) multiplied by selling price, the cost price of the first transistor is (100 divided by 120) multiplied by 840, which equals Rs. 700. Using the cost price formula CP equals (100 divided by (100 minus loss percent)) multiplied by selling price, the cost price of the second transistor is (100 divided by 96) multiplied by 960, equaling Rs. 1000. The total cost price is 700 plus 1000, equaling 1700, and the total selling price is 840 plus 960, equaling 1800, yielding a 100 rupee profit. Applying the profit percentage formula gives (100 divided by 1700) multiplied by 100, resulting in a 5 and 15/17 percent gain.

Keep practicing — related questions