APTITUDE | ARITHMATICAL | PROBLEMS BASED ON ALLIGATION OR MIXTURE 4

DIRECTIONS : Problems based on alligation or mixture.

16.	In what ratio must rice at Rs.9.30 per Kg be mixed with rice at Rs. 10.80 per Kg so that the mixture be worth Rs.10 per Kg ?
	A.  8 : 7	B.  7 : 8
	C.  8 : 9	D.   9 : 8

Solution

By the rule of alligation: C.P. of 1 kg rice of 1st kind (in paise) C.P. of 1 kg rice of 2nd kind (in paise)  Required ratio = 80 : 70 = 8 : 7.

17.	In what ratio must be a grocer mix two varities of tea worth Rs. 60 a kg and Rs. 65 a Kg so that by selling the mixture at Rs. 68.20 a Kg he may gain 10% ?
	A.  3 : 4	B.  3 : 2
	C.  3 : 5	D.  4 : 5

Solution

S.P. of 1 kg of the mixture = Rs. 68.20, Gain = 10 % C.P. of 1 kg of the mixture = Rs. (100 / 110 x 68.20) = Rs. 62. By the rule of alligation: C.P. of 1 kg tea of 1st kind C.P. of 1 kg tea of 2nd kind  Required ratio = 3 : 2.