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. Rs. 169.50 B. Rs. 170
C. Rs. 175.50 D. Rs. 180

• 1 : 1 :2
  let x be the third mixture
  (126 + 135 + 2x)/4 = 153
  (261 + 2x ) =4*153
  2x = 612 - 261
  2x = 351
  so, x = 175.50
  
  thus option c is the answer..
• 11 years agoHelpfull: Yes(47) No(5)
• Since first and second varieties are mixed in equal proportions.
  
  So, their average price = Rs. 126 + 135 = Rs. 130.50
  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:
  
  Cost of 1 kg of 1st kindCost of 1 kg tea of 2nd kind
  Rs. 130.50 Mean Price
  Rs. 153 Rs. x
  (x - 153) 22.50
  x - 153 = 1
  22.50
  x - 153 = 22.50
  
  x = 175.50
• 11 years agoHelpfull: Yes(3) No(3)
• Excellent Answer by VISHNU KARTHICK
• 8 years agoHelpfull: Yes(1) No(0)
• 1 : 1 :2
  let x be the third mixture
  (126 + 135 + 2x)/3 = 153
  (261 + 2x ) =3*153
  2x = 459 - 261
  2x = 198
  so, x = 99 not given in option
• 9 years agoHelpfull: Yes(0) No(6)