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

2700.00

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2842 \frac{2}{19}

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3000.00

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6750.00

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Solution

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

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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 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