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A dealer allows a discount of $16 %$ to his customers and still gains $5 %$ . Find the marked price of the table which costs him $Rs 1200$ .

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1500

1800

1650

1400

answer is A.

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Detailed Solution

Given,
Discount

= 16 %

Gain

= 5 %

Cost price of table

= Rs . 1200

Selling price (SP),

= (\frac{5}{100} \times 1200) + 1200

= 60 + 1200

= 1260 Rs

Suppose marked price (MP) be

x

,
Discount

= 16 %

x

= \frac{16}{100} \times x

= \frac{4 x}{25}

SP = MP - Discount

1260 = x - \frac{4 x}{25}

1260 = \frac{25 x - 4 x}{25 x}

1260 = \frac{21 x}{25}

\Rightarrow x = \frac{1260 \times 25}{21}

\Rightarrow x = 1500

Hence, option 1 is correct.

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