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… — Answer & Discussion

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?

ARs. 10/kg
BRs. 9/kg
CRs. 18/kg
DRs. 14/kg

Answer not set

Join the discussion Report an error

Discussion 1

CCommunity21 Jun 2019

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