Question

Amit bought a piano and sold it to Gopal at a profit of 5%. Gopal sold it to Akshay at a loss of 25%. If Akshay paid ₹1890, then the cost price (in ₹) of the piano Amit bought is

• A. 2550
• B. 2200
• C. 2400
• D. 2150

Answer 1

Answer:

C. 2400

Let Amit’s cost price = (x)

Amit → Gopal (5% profit)

$SP_1 = 1.05x$
Gopal → Akshay (25% loss)

$SP_2 = 75\% \text{ of } SP_1 = 0.75 \times 1.05x = 0.7875x$

Given:

$0.7875x = 1890$

Solve

$x = \frac{1890}{0.7875} = 2400$

Final Answer: ₹2400