One quantity of wheat at Rs 9.30 per Kg is mixed with another quality at a certain rate in the ratio 8 : 7. If the mixture so formed be worth Rs 10 per Kg, what is the rate per Kg of the second quality of wheat?
A. Rs. 12.47
B. Rs. 10.80
C. Rs. 15.17
D. Rs. 47.66
Answer: Option B
Solution(By Examveda Team)
Let the rate of second quality be Rs. x per Kg.C.P of 1 Kg wheat of 1st kind = 930 p
C.P of 1 Kg wheat of 2nd kind = 100x p
Mean price = 1000 p
By rule of alligation we have required ratio 8 : 7
930 x / (Mean Price) (1000) / (x-10) : 0.7
So we get required ratio, (x-10) : 0.7 :: 8 : 7
⇒ x = 10.80 per Kg
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Related Questions on Alligation
A. $$\frac{{1}}{{2}}$$ kg
B. $$\frac{{1}}{{8}}$$ kg
C. $$\frac{{3}}{{14}}$$ kg
D. $$\frac{{7}}{{9}}$$ kg
A. 81 litres
B. 71 litres
C. 56 litres
D. 50 litres
Let the rate of second quality be xRs. per kg
Ratio =8:7
(9.30)(8)+(8)(7)= Total rate of the mixture of 2 quality wheat
Total no. of kg's =7+8 =15
15(9.30)(8)+7x=10
7x=75.6
x=10.8Rs. rate of second quality of wheat.
9.30 -
10
8. : 7
By this we can make guess