In what ratio a vendor should mix rice at Rs.60 per kg with rice at Rs. 68 per kg so that the final rice mixture must be of worth Rs. 63 per kg?
(A)
4:5
(B)
5:3
(C)
2:3
(D)
3:2
Answer: (B)
Explanation:
C.P. of 1 kg of rice = Rs. 60 (cheaper rice)
C.P. of 1 kg of rice of 2nd kind = Rs. 68 (dearer rice)
Also, Mean price of the mixture (per kg) = Rs. 63
So, By the rule of alligation,
(Quantity of Cheaper Substance):(Quantity of Dearer Substance) = (CP of dearer substance – Mean Price):(Mean Price – CP of cheaper substance)
(Quantity of Cheaper Substance):(Quantity of Dearer Substance) = (CP of dearer rice – Mean Price):(Mean Price – CP of cheaper rice)
(Quantity of cheaper rice) : (Quantity of dearer rice) = (68 – 63):(63-60)
(Quantity of cheaper rice) : (Quantity of dearer rice) = 5:3
So, The answer is 5:3
Quiz of this Question
Please comment below if you find anything wrong in the above post