A man sells a scooter to his friend at 10 % loss. If friend sells it for RS., 4000 and gains 20%, fi

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Gujarati

Hindi

7.Profit and Loss

hard

A man sells a scooter to his friend at $10 \%$ loss. If the friend sells it for $RS.\, 4000$ and gains $20\%,$ find out the original cost price of the scooter. (in $Rs.$)

A

$50000$

B

$45000$

C

$40000$

D

None of these

Solution

Here, $m=-10, n=20, z=₹ 54000$

$\therefore$ Actual cost price of the scooter

$=\left[\frac{100^{2} z}{(100+m)(100+n)}\right]$

$=\left[\frac{100 \times 100 \times 54000}{(100-10)(100+20)}\right]$

$=\left(\frac{100 \times 100 \times 54000}{90 \times 120}\right)=Rs. 50000$

Standard 13

Quantitative Aptitude

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