Question
How many kilogram of sugar costing Rs. 9 per kg must be mixed with 27 kg of sugar costing Rs. 7 per kg so that there may be a gain of 10% by selling the mixture at Rs. 9.24 per kg?
Answer: Option D
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S.P. of 1 kg of mixture = Rs. 9.24, Gain 10%.
So, C.P. of 1 kg of mixture = Rs. \(\left(\frac{100}{110}\times9.24\right)=Rs. 8.40\)
By the rule of allilation, we have:
C.P. of 1 kg sugar of 1st kind = Rs.9
Cost of 1 kg sugar of 2nd kind = Rs.7
Main Price = Rs. 8.40
So, Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3.
Let x kg of sugar of 1st be mixed with 27 kg of 2nd kind.
Then, 7 : 3 = x : 27
x= \(\left(\frac{7\times27}{3}\right)= 63 kg.\)
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