Question 103

Ramsukh bhai sells rasgulla(a favourite Indian sweets) at Rs. 15 per kg. A rasgulla is made up of flour and sugar in the ratio 5 : 3. The ratio of price of sugar and flour is 7 : 3 (per kg). Thus he earns $$66\frac{2}{3}$$% profit. What is the cost price of sugar?

SP of 1kg rasgulla= Rs.15
Profit= $$\frac{200}{3}$$%
CP of 1 kg rasgullaΒ = ($$\ \frac{\ 15\times100}{\ \frac{\ 500}{3}}$$) = Rs. 9
CP of 1 kg of sugar= 7x
CP of 1 kg of floor= 3x
3xΒ  Β  Β  Β  Β Β  Β 7x
Β  Β  Β  Β  Β 9
7x-9Β  Β  Β Β  9-3x
$$\ \frac{\ 7x-9}{9-3x}\ =\ \ \frac{\ 5}{3}$$
x=2
CP of sugar= 7x= 14 per kg

D is the correct answer.

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