SSC CGL 20191)In what ratio, sugar costing Rs.60 per kg be mixed with sugar costing Rs.42 per kg such that by selling the mixture at Rs.56 per kg there is a gain of 12%?

Correct Option: C

4 : 5

Selling price of mixture = 56;

profit = 12%;

Cost price of the mixture =\( 56 \times \frac{100}{112}\) = Rs. 50;

By allegation method,

SSC CGL 20192)The ratios of copper to zinc in alloys A and B are 3 : 4 and 5 : 9, respectively. A and B are taken in the ratio 2 : 3 and melted to form a new alloy C. What is the ratio of copper to zine in C?

Correct Option: D

27 : 43

Quantity of copper in alloy A =\( \frac{3}{3 + 4} = \frac{3}{7};\)

Quantity of zinc in alloy A =\( \frac{4}{3 + 4} = \frac{4}{7};\)

Quantity of copper in alloy B = \(\frac{5}{5 + 9} = \frac{5}{14};\)

Quantity of zinc in alloy B =\( \frac{9}{5 + 9} = \frac{9}{14};\)

A and B are taken in the ratio 2 : 3 and melted to form a new alloy C.

So,

Quantity of copper in alloy C = 2(quantity of copper in alloy A) + 3(quantity of copper in alloy B)

= \(\frac{2 \times 3}{7} + \frac{3 \times 5}{14} = \frac{6}{7} + \frac{15}{14} = \frac{27}{14};\)

Quantity of zinc in alloy C = 2(quantity of zinc in alloy A) + 3(quantity of zinc in alloy B)

= \(\frac{2 \times 4}{7} + \frac{3 \times 9}{14} = \frac{8}{7} + \frac{28}{14} = \frac{43}{14};\)

Ratio of copper to zine in C =\( \frac{27}{14} : \frac{43}{14}\) = 27 : 43

SSC CGL 20193)A vessel contains a 32 litre solution of acid and water in which the ratio of acid and water is 5 : 3, If 12 litres of the solution are taken out and l\(7\frac{1}{2}\)itres of water are added to it, then what is the ratio of acid and water in the resulting solution?

Correct Option: B

5 : 6

SSC CGL 20194)How many kg of salt costing ₹28 per kg must be mixed with 6.6 kg of salt costing ₹16 per kg, so that selling the mixture at ₹29.90, there is a gain of 15%?

Correct Option: A

33

SSC CGL 20195)40 litres of 60% concentration of acid solution is added to 35 litres of 80% concentration of acid solution. What is the concentration of acid in the new solution?

Correct Option: C

\(69\frac{1}{3}\)%

SSC CGL 20196)Alloy A contains copper and zine in the ratio of 4 : 3 and alloy B contains copper and zine in the ratio of 5: 2. A and B are taken in the ratio of 5 : 6 and melted to form a new alloy. The percentage of zinc in the new alloy is closest to:

Correct Option: D

35

SSC CGL 20207)25 litres of a mixture contains 30%of spirit and rest water. If 5 litres of water be mixed in it, the percentage of spirit in the new mixture is :

Correct Option: C

25%

Quantity of spirit = \(25\times \frac{30}{100} = 7.5\);

Quantity of water = 25 - 7.5 = 17.5;

After mixed up quantity of mixture = 25 + 5 = 30;

Percentage of spirit = \(\frac{7.5}{30} \times 100 = 25\)%

SSC CHSL 20218)A solution contains acid and water in the ratio of 4 : 5. If 20% of the solution is replaced by water, then what will be the ratio of acid and water in the new solution?

Correct Option: D

16 : 29

SSC Selection Post Matric 20229)A shopkeeper mixes three varieties of tea costing Rs 60 per kg, Rs80 per kg, and Rs120 per kg in the ratio 5 : 8 : 7. At what price (in Rs) per kg should he sell the tea mixture to earn a 25% profit?

Correct Option: C

111.25

Let the amount of 3 varieties of teas be 5x, 8x, and 7x

Now,

Cost price of mixed quantity of tea = 60 × 5x + 80 × 8x + 120 × 7x

⇒ Rs. 1780x

Selling price of mixed tea = 1780 × 125%

⇒ 2225x

Total quantity of the mixed tea = 5x + 8x + 7x = 20x

So, price/kg = 2225x/20x

⇒ Rs. 111.25

SSC Selection Post Matric 202210)A person bought 20 kg of oranges at Rs. 64/kg, 25 kg of oranges at Rs. 56/kg and Rs. 35 kg of oranges at Rs. 60/kg. He mixed the three varieties. If he sells the whole lot at Rs. 63.75/kg, then his profit percentage is: (correct to the nearest integer)

Correct Option: B

15%

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