Question

Ajay had purchased a second hand scooter for Rs. $18000$ and spent Rs $1800$ for repairs. After $1$ 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 depreciation?

• A. Rs. $18000$
• B. Rs. $19800$
• C. Rs. $20000$
• D. Rs. $22500$

Answer 1

The correct option is C Rs. $20000$

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. $18000$
S.P. to gain $11.11\%=18000+11.11\%$ of $18000=18000+1999.8=$ Rs. $20000$.