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Ajay had purchased a second hand scooter for 18,000 and spent Rs.1800 for repairs. After one year he wanted to sell the scooter. At what price should he sell it to gain $\frac{100}{9}$ %, if $\frac{100}{11}$ % is to be deducted at the end of every year on account of deprecation?

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10000

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40000

answer is B.

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Detailed Solution

Cost Price =Rs.18000.
Cost on repairing = Rs. 1800.
So, Total cost = 18000 +1800 = 19800.
Depreciation =

\frac{100}{11}

% = 9.09%.
Gain =

\frac{100}{9}

% = 11.11%.
After depreciation, the cost price would be = 19800 - 9.09% of 19800 = Rs. 18000
SP to gain 11.11% = 18000 + 11.11% of 18000 = 18000 + 1999.8 = Rs. 20,000.
Hence (2) is the correct answer.

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