BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Tea Mixture problem

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Senior | Next Rank: 100 Posts
Posts: 51
Joined: Thu Mar 11, 2010 11:11 am
Thanked: 6 times

Tea Mixture problem

by lkm » Mon Aug 02, 2010 6:14 pm
Question:

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 new mixture is worth Rs 153 per kg, the price of the third variety per kg will be:

A) 164.25
B) 169.50
C) 170.0
D) 175.50
E) 180

Please also tell how to deal with such problems.
The RULE Breaker
----------------------
I am born to fly, not to live in boundaries
Top
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 362
Joined: Fri Oct 02, 2009 4:18 am
Thanked: 26 times
Followed by:1 members

by indiantiger » Mon Aug 02, 2010 6:32 pm
so you are given the ratio of mixture that is prepared from three varieties of tea

each ratio gives the amount in kg of that tea variety so we can say the ratio is as follows

x : x : 2x

Lets say the price of third variety is P
now total price / kg can be calculated as



126*x + 135*x + 2x*P / (x+x+2x)----(1)

x+x+2x represents the total weight

we know the mixtures price/kg = 153 --- (2)

from (1) and (2) we can get
126*x + 135*x + 2x*P / (x+x+2x) = 153
126+135 +2P = 4 * 153
261+2P = 612
P = 612-261 / 2
P = 175.5 (D) answer
"Single Malt is better than Blended"
Top

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pm
Location: Milpitas, CA
Thanked: 447 times
Followed by:88 members

by Rahul@gurome » Mon Aug 02, 2010 6:33 pm
Let the price of third variety be x.

So if the three varieties are mixed in the ratio 1:1:2, then the price of mixture per kg is
(126*1 + 135*1 + x*2)/(1+1+2) = (261+2x)/4.
It is given that (261+2x)/4 = 153
Or 2x = 351
Or x = 351/2 = 175.5

The correct answer is (D).
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Post new topic Post Reply
• Page 1 of 1