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A Shopkeeper Sells One Transistor for ₹ 840 at a Gain of 20% and Another for ₹ 960 at a Loss of 4%. His Total Gain Or Loss Percent is - Mathematics

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MCQ

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

Options

  • `5 15/17%` loss

  • `5 15/17%` gain

  • `6 2/3%` gain

  • None of these

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Solution

`5 15/17%` gain

Explanation :

SP of first transistor = ₹ 840

Gain % = 20%

∴ CP of the first transistor = `100/(100 + 20) xx 840`

= `100/120 xx 840` = ₹ 700

Again, SP of the second transistor = 960

Loss % = 4%

∴ CP of the second transistor = `100/(100 - 4%) xx 960`

= `100/96 xx 960` = ₹ 1000

∴ Total SP = 840 + 960 = ₹ 1800

And total CP = 700 + 1000 = ₹ 1700

Hence, gain % = `(1800 - 1700)/1700 xx 100`

= `100/17 = 5 15/17%`

Concept: Profit and Loss (Entrance Exam)
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