A mixture is formed by mixing two varieties
of wheat P and Q whose quantities are in the ratio 4 : 3. The cost of P exceeds
the cost of Q by Rs.7 per kg. The cost of the mixture is Rs.23 per kg. Find the
cost of Q (in Rs.per kg) .
How many litres of 27% alcohol solution is to
be added to 20 litres of 36% alcohol solution to obtain a 30% alcohol solution?
A vessel of capacity of 90 litres is fully
filled with pure milk. 9 litres of milk is removed from the vessel and replaced
with water. 9 litres of the solution thus formed is removed and replaced with
water. Find the quantity of pure milk in the final milk solution (in litres). .
(b) 72.9 .
(c) 73.8 .
(d) 74.7 .
A trader bought two varieties of tea. He
bought these at Rs.90 per kg and Rs.150 per kg. He mixed the cheaper variety
and the other variety in the ratio 2 : 3 and sold the mixture at Rs.180 per kg.
Find his profit percentage in selling the mixture, .
A trader purchased two colour televisions for
a total of Rs.35000. He sold one colour television at 30% profit and the other
at 40% profit. Find the difference in the cost prices of the two televisions if
he made an overall profit of 32%. .
(a) Rs.21000 .
(b) Rs.17500 .
(c) Rs.14000 .
(d) Rs.24500 .
Rs.6000 is lent out in two parts. One part is
lent at 7% p.a simple interest and the other is lent at 10% p.a. simple
interest. The total interest at the end of one year was Rs.450. Find the ratio
of the amounts lent at the lower rate and the higher rate of interest. .
(a) 5 : 1
(b) 4 : 1
(c) 3 : 2
(d) 2 : 1
In what ratio should water and 80% wine
solution be mixed so that a 60% wine solution is formed?
(a) 7 : 6
(b) 2 : 3
(c) 5 : 4
(d) 1 : 3
In a milk solution of 15 litres, milk and
water are in the ratio of 4 : 1. How many litres of water should be added to
the above mixture so that the ratio of milk to water in the milk solution
becomes 3 : 2? .
(a) 7 liters
(b) 5 liters
(c) 3 liters
(d) one liters
The ratios of milk and water in mixtures of
four containers are 6 : 5, 3 : 2, 4 : 3 and 7 : 3 respectively. What will be
the ratio of milk to water when equal quantities of all the four mixtures are
mixed in one container? .
(a) 81 : 73
(b) 439 : 362
(c) 1215 : 961
(d) 1861 : 1219
A can contains 200 litres of pure milk. 20
litres of milk was replaced with water. Again 20 litres of solution is replaced
with water. How many times should this procedure be repeated for the can to
contain 145.8 litres of pure milk? .