Question : A tradesman marks his goods at such a price that after allowing a discount of 31%, he makes a profit of 15%. What is the marked price of an article whose cost price is Rs. 3,420?
Option 1: Rs. 5,700
Option 2: Rs. 5,200
Option 3: Rs. 5,475
Option 4: Rs. 5,550
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Correct Answer: Rs. 5,700
Solution : Rate of discount = 31% Profit = 15% The cost price (CP) of an article = Rs. 3,420 Selling Price (SP) = $CP \times \frac{(100+\text{Profit}\%)}{100}$ = $3420 \times \frac{(100+15)}{100}$ = $3420 \times \frac{(100+15)}{100}$ = Rs. 3,933 Marked Price (MP) = $SP \times \frac{100}{100−\text{discount}\%}$ = $3933 \times \frac{100}{100−31}$ = Rs. 5,700 Hence, the correct answer is Rs. 5,700.
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