Question

# A shopkeeper makes a profit of $$20$$ $$\%$$ even after giving a discount of $$10$$ $$\%$$ on the advertised price of a T. V. set. If he makes a profit of Rs. $$450$$, the advertised price (in rupees) is

A
2700.00
B
2842219
C
3000.00
D
6750.00

Solution

## The correct option is D $$3000.00$$Let the advertised price be Rs. $$100$$$$\therefore$$ S.P.of the T.V. set$$=100-10=$$ Rs. $$90$$Since he gains $$20\%$$$$\therefore$$ C.P.of the T.V. set$$\displaystyle=\frac{100\times90}{120}=$$ Rs. $$75$$$$\therefore$$ Profit $$=90-75=$$ Rs. $$15$$If profit is Rs. $$15$$, then advertised Price $$=$$ Rs. $$100$$$$\therefore$$ Profit is Rs. $$450$$ advertised Price$$\displaystyle=\frac{100}{15}\times450=$$ Rs. $$3000$$Mathematics

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