## Amar Sir is teaching live on Unacademy Plus

A renowned faculty of Objective Mathematics; GD/Personal Interview General Studies Indian History Amar Sir An experience of 24 yrs of teaching a Jamshedpur, Ranchi, Bokaro and Sambalpur More than a thousand successful students in Bank/SSC/Railway/Civil Services |The slogan is:"Math Dikhta Hai"

BANK PO SSC CGL RAILWAY MATHEMATICS ALLIGATION

ALLIGATION By Amar Sir

Concept lligation is related "A with rates" RTART All gation

Concept 35 Kg Rs/Kg Rs/L M/S Km/H % profit/CP %Interest/Principal %Change/The Sum I (Rs./Kg) II (Rs./Kg) 30 20 I (Rs./Kg) 27 7 3

1. Question: A mixture of a certain quantity of milk with 16 liters of water is worth 90 P/ liter. If pure milk be worth 108 P per liter, then how much milk is there in the mixture? [__ 1 6 T [ Ans, (a) 80 ] (a) 80 liters (b) 60 liter (c) 90 liters (d) 75 liters (e) None of these

1. Question: A mixture of a certain quantity of milk with 16 liters of water is worth 90 P/ liter. If pure milk be worth 108 P/liter, how much milk is there in the mixture? [Ans. (a) 80] (a) 80 liters (b) 60 liter (c) 90 liter (d) 75 liters (e) None of these Solution: By method of Alligation 16 liters Water P/L) Milk (P/L) 108 Mean (P/L) 90 90 (90-0) 5 18 (108-90): 1 E 16 liters 5 80 liters Ans.

2. Question: 300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution? [ 300 adT Ans, (a) 60 gm (a)60 gm (b) 65 gm (c) 50 gm (d) 55 gm (e) None of these

2. Question: 300 gm of sugar solution has 40% sugar in it. How much sugar should be added to make it 50% in the solution? (a) 60 gm (b) 65 gm (c) 50 gm (d) 55 grm (e) None of these [300 TRA Solution: First Method Second Method 120+2 1 180 50% 1 50% By method of Alligatio 2 300 gm I (S: W) (40%:60%) 40 X = 60 gm Ans. II (S: W) (100%:0%) 100 faar Third Method 5000 of (300+x)= 180 or, x= 60 gm Ans. Mean (S: W) (5090 : 5000) 50 50 (100-50) Or, 5 [Initial Solution]5300 gnm [Sugar added] 1?-60 gm Ans. 10 (50-40)

3. Question:The milk and water in two vessels A and B are in the ratio of 4:3 and 2:3 respectively. In what ratio the liquids in both the vessels are mixed to obtain a new mixture in vessel C containing half milk and h ? A alf wvater ? I [Ans. (a) 7:51 (a) 7:5 (b) 5:2 (c) 3:11 (d) 1:2 (e) None of these