SSC Selection Post 2020 PYQ — Question 51

The correct answer is option 1 i.e. ₹918.

A → B: 20% profit

B → C: 15% loss

C → D: 25% profit

Difference between A’s profit and C’s profit is ₹49.50

The cost price of the article for C

B's CP  = 100 + 20 %  of 100 = 100 + 20 = ₹120

C's CP = 120 - 15 %  of  120 = 120 - 18 = ₹102

C's SP = 102 + 25 %  of  102 = 102 + 25.5 = ₹127.50

 Profit of A = A’s SP – A’s CP = ₹120 − ₹100 = ₹20

Profit of C = C’s SP – C’s CP = ₹127.50 − ₹102 = ₹25.50

Difference between profits = ₹25.50 − ₹20 = ₹5.50

The difference between A and C’s profits is ₹49.50.

Let the actual cost price for A be ₹x.

Profit difference /  x =$\frac{5.50}{100} \Rightarrow \frac{49.50}{x} = \frac{5.50}{100}$

$\frac{49.50}{x} = \frac{5.5}{100} \Rightarrow 49.50 \times 100 = 5.5x \Rightarrow 4950 = 5.5x \Rightarrow x = \frac{4950}{5.5} = 900$

Actual cost price for A = ₹900

A’s CP is ₹900, C’s CP = $\frac{102}{100} \times 900 = ₹918$