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Question

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


A
151517% loss
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B
51517% gain
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C
623% gain
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D
None of these
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Solution

The correct option is B $$5\dfrac {15}{17}$$% gain
C.P. of $$1^{st} transistor = Rs. \left (\dfrac {100}{120}\times 840\right ) = Rs. 700$$.
C.P. of $$2^{nd} transistor = Rs. \left (\dfrac {100}{96}\times 960\right ) = Rs. 1000$$
So, total $$C.P. = Rs. (700 + 1000) = Rs. 1700$$.
Total $$S.P. = Rs. (840 + 960) = Rs. 1800$$.
$$\therefore Gain$$% $$= \left (\dfrac {100}{1700}\times 100\right )$$% $$= 5\dfrac {15}{17}$$%

Mathematics

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