Question

A man sells a scooter to his friend at 10% loss. If the friend sells it for Rs 54000 and gains 20%, find the original cost price of the scooter.

• A. Rs 50000
• B. Rs 45000
• C. Rs 40000
• D. Rs 33500
• E. None of the above

Answer 1

The correct option is A Rs 50000

Here, m=-10, n =20, z =Rs 54000.
$\therefore$ Actual cost price of the scooter
$=\left[\frac{{100}^{2}z}{(100+m)(100+n)}\right]=\left[\frac{100\times 100\times 54000}{(100-10)(100+20)}\right]=\left(\frac{100\times \times 54000}{90\times 120}\right)=Rs50000.$