SSC GD Constable 6 Feb 2025 Shift 1 Paper

Section: Elementary Mathematics

Question : 48 of 80

Marks: +1, -0

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

2550
2200
2400
2150

Validate

Solution:

Let the cost price of the piano Amit bought be ₹x.
Final selling price

=

Cost price

×(1+

Profit

\% \/ 100) ×(1-

Loss

\% \/ 100)

Calculations:
Akshay's price

=

Amit's cost price ×

(1+5 \/ 100) ×(1-25 \/ 100)

\;₹ 1890=x ×(1+0.05) ×(1-0.25)

\;⇒ ₹ 1890=x × 1.05 × 0.75

\;⇒ ₹ 1890=x × 0.7875

\;⇒ x=₹ 1890 \/ 0.7875

\;⇒ x=₹ 2400

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