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Ramsukh sells rasgulla at Rs. 15 per kg. A rasgulla is made up of flour and sugar mixed in the ratio 5 : 3. The ratio of price of sugar and flour is 7 : 3. He earns \(66\frac{2}{3}\%\) profit. What is the cost price of sugar?1). Rs. 10/kg2). Rs. 9/kg3). Rs. 18/kg4). Rs. 14/kg |
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Answer» Given, he earns a profit of $(66\frac{2}{3}\% .)$ LET C be the COST price per kg of the rasgulla. $(\Rightarrow 66\frac{2}{3} = \frac{{15 - C}}{C} \times 100)$ ⇒ 2C = 45 – 3C ⇒ C = 9 Let the cost price of one kg of sugar be 7x and that of one kg of flour be 3x. Since they are MIXED in the ratio 3 : 5, we have: $(9 = \frac{3}{8}\left( {7x} \RIGHT) + \frac{5}{8}\left( {3x} \right) = \frac{{36x}}{8})$ ⇒ x = 2 Hence, price of sugar is Rs.14 /kg |
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