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Q1. | Tea worth Rs.126 per kg and Rs. 135 per kg are mixed with a third variety in the ratio 1: 1 : 2. If the mixture is worth Rs.153 per kg, the price of the third variety per kg will be : | ||||||||||||||||

A. | 169.5 [Wrong Answer] | ||||||||||||||||

B. | 170 [Wrong Answer] | ||||||||||||||||

C. | 175.5 [Wrong Answer] | ||||||||||||||||

D. | 180 [Correct Answer] | ||||||||||||||||

View Answer
Explanation:-
Answer : DDiscuss it below :Since first and second varieties are mixed in equal proportions, so their average price= Rs. ^{(126 +135)}/_{2}So, the mixture is formed by mixing two varieties, one at Rs. 130.50 per kg and the other at say, Rs. x per kg in the ratio 2 : 2, i.e., 1 : 1. We have to find x. By the rule of alligation, we have :
^{x - 153}/_{22.50}x - 153 = 22.50 x = 175.50. Hence, price of the third variety = Rs. 175.50 per kg. Seema Said on 2015-07-28 23:25:33Let the three varieties be A,B,C. the ratio is given as 1:1:2. Let x be the price of third variety per kg. A B C the cost is: Rs.126/kg Rs.135/kg Rs.x/kg the amount (from ratio): (1/4)kg (1/4)kg (1/2)kg (in kg.) cost of three varieties per kg = cost of the mixture per kg so, (126*(1/4))+(135*(1/4))+(x*(1/2))=153 after making calculation, x=175.5 so, the price of third variety per kg will be Rs.175.5 DJ Said on 2015-07-27 00:06:03Price of all mixture 126+135+(2*X) Number of kgs 1+1+2 Therefore mixture price per kg=(price of all mix)/(number of kgs)=153/kg Hence X=175.5/kg . !! OOPS Login [Click here] is required to post your answer/resultHelp other students, write article, leave your comments |

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