SSC Selection Post 2020 PYQ — Question 66

The correct answer is option 4 i.e. ₹9,600.

Difference between shares of A and C = ₹3,240

From A : B = 3 : 4

Let  A = 3x, B = 4x

From B : C = 5 : 6

B = 4x

match B in both ratios:

From B = 4x and B : C = 5 : 6,
→  B = 5y, so set 4x = 5y
→  $y = \frac{4x}{5}$
→ Then $C = 6y = 6 \cdot \frac{4x}{5} = \frac{24x}{5}$

From C : D = 9 : 10

$C = \frac{24x}{5}$

→ C = 9z

$9z = \frac{24x}{5} \Rightarrow z = \frac{24x}{45} = \frac{8x}{15}$

$D = 10z = 10 \cdot \frac{8x}{15} = \frac{80x}{15} = \frac{16x}{3}$

The difference between A and C

⇒ C - A = ₹3,240

⇒ $\frac{24x}{5} - 3x = 3240$

⇒$\frac{24x - 15x}{5} = 3240 \Rightarrow \frac{9x}{5} = 3240 \Rightarrow x = \frac{3240 \cdot 5}{9} = \frac{16200}{9} = 1800$

share of D  = $\frac{16x}{3} = \frac{16 \cdot 1800}{3} = \frac{28800}{3} = ₹9,600$