a dealer sold a camera for ₹1080 gaining 1/8 of its cost price. Find (1) the cost price of the camera, and (2) the gain per cent earned by the dealer
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Answer:
Suppose cost price is CP Rs.
&
Selling price = SP Rs.
\textbf{Since Selling Price is 1080 Rs.,}Since Selling Price is 1080 Rs.,
SP = 1080 Rs.
Dealer gained 1/8 of cost price.
=> \textbf{SP = CP + Gain on CP}SP = CP + Gain on CP
=> SP = CP + (1/8)CP
=> CP + CP/8 = 1080
=> (9CP)/8 = 1080
=> CP = (1080×8)/9
=> CP = 120 × 8
=> CP = 960 Rs.
\textbf{Total gain = SP - CP}Total gain = SP - CP
=> Total gain = 1080 - 960
=> \textbf{Total gain = 120 Rs}Total gain = 120 Rs
\textbf{Gain Percent=(Total gain/CP)(100) }Gain Percent=(Total gain/CP)(100) %
=> Gain percent = (120/960) × 100
=> Gain percent = 100/8
=> Gain percent = 12.5 %
\textbf{Cost Price = Rs 960}Cost Price = Rs 960
\textbf{Gain Percentage = 12.5}Gain Percentage = 12.5 %
Explanation:
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