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

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