SSC CGL 2021 PYQ — Question 65

SSC CGL - 18 Aug 2021 - Shift 2 • Quantitative Aptitude • Q65

Alloy A contains metals x and y in the ratio 5 : 2 and alloy B contains these metals in the ratio 3 : 4. Alloy C is prepared by mixing A and B in a ratio 4 : 5. The percentage of y in alloy C is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 4449\frac{4}{9}

In A = component of x and component of y be 5 units and 2 units = 7 units.

In B = component of x and component of y be 3 units and 4 units = 7 units.

Quantity will be the same in A and B (i.e., if it is not equal then one must make them equal before moving to the next step).

Now to prepare C one mix 4 parts of A and 5 parts of B.

From A, the Components of x and y will be 5 × 4 and  2 × 4 respectively.

From B, the Components of x and y will be 3 × 5 and 4 × 5 respectively.

Componet of x and y in C = 20 + 15 = 35 units.

Components of y in C = 20 + 8 = 28 units.

% of y in C = 28/63 × 100 =   4449\frac{4}{9}%.