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/kg
2). Rs. 9/kg
3). Rs. 18/kg
4). Rs. 14/kg
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