a2zinterviews

15.	How many kilograms 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?
	A.  36 Kg
	B.  42 Kg
	C.  54 Kg
	D.  63 Kg

Solution

By the rule of alligation: C.P. of 1 kg sugar of 1st kind C.P. of 1 kg sugar of 2nd kind Ratio of quantities of 1st and 2nd kind = 14 : 6 = 7 : 3. Let x kg of sugar of 1st kind be mixed with 27 kg of 2nd kind. Then, 7 : 3 = x : 27 or x = (7 x 27 / 3) = 63 kg.

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.