Directions: Refer the following data to answer the questions given below.
Let the quantity of the wine in the cask originally be x litres.
Using formula:
Final Amount of solute that is not replaced= Initial Amount ×(Vol. after removal/Vol. after replacing)n
Or
Final ratio of solute not replaced to total = Initial ratio ×(Vol. after removal/Vol. after replacing)n
Then ratio of wine to total solution in cask after 4 operations:
⇒1×(x−8/x)4=16/81
(considering 2nd formula here)
⇒ (x−8)/x=2/3
⇒ 3x−24=2x
⇒ x=24 litres.
Directions: Refer the following data to answer the questions given below.
Distance covered in 1 hour on foot = 8 km
Distance covered in 1 hour on bicycle = 17 km
Average distance covered in 1 hour = 90/9 km = 10km (mean distance)
Directions: Refer the following data to answer the questions given below.
Suppose the vessel initially contains 8 litres of liquid.
Let x litres of this liquid be replaced with water then quantity of water in new mixture
=3–3x/8+x litres
Quantity of syrup in new mixture =5−5x/8 litres
Therefore3−3x/8+x=5−5x/8
⇒5x+24=40−5x
⇒ 10x=16
⇒ x=8/5
So part of the mixture replaced =
8/5×1/8=1/5
Directions: Refer the following data to answer the questions given below.
Milk in 1 litre mixture in 1st can = 3/4 litre.
Milk in 1 litre mixture in 2nd can = 1/2 litre.
Milk in 1 litre final mixture = 5/8 litre.
By rule of alligation we have required ratio 5 : 8
Directions: Refer the following data to answer the questions given below.
Since first and second varieties are mixed in equal proportions.
So, their average price = Rs.(126+135/2)=Rs.130.50
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:
