SSC CGL 2022 PYQ — Question 76

SSC CGL Tier II - Quant - 29 Jan 2022 • Quantitative Aptitude • Q76

Alloy A contains metals x and y only in the ratio 5 : 2, while alloy B contains them in the ratio 3 ; 4. Alloy C is prepared by mixing alloys A and B in the  ratio 4 : 5. The percentage of x in alloy C is:

Show answer & explanation

Correct answer: D

Explanation

 The correct answer is option 4 i.e.  5559\frac{5}{9}

The ratio of the Component of x and y in A = 5 : 2 = 7 units.

The ratio of the Component of x and y in B = 3 : 4 = 7 units.

A and B is mixed in the ratio of 4 : 5

In 4 times of A, component of x and y in A becomes = 20 : 8

in 5 times of B, component of x and y in B becomes = 15 : 20 

In C, the ratio of the component of x and y = 20 + 15 : 8 + 20 = 35 : 28

Ratio of component of x and y in C = 5 : 4

% of x in C = 5/9 × 100 = 55.55% =  5559\frac{5}{9}%.