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

English

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

Share

Similar Questions

A person sells two articles, each for $Rs.\,1040.$ He incurs $20 \%$ loss on the first and $10 \%$ loss on the second. Find out overall percent loss.

hard

A retailer offers the following discount schemes for buyers on an article

$I.$ Two successive discounts of $10 \%$

$II.$ A discount of $12 \%$ followed by a discount of $8 \%$

$III.$ Successive discounts of $15 \%$ and $5 \%$

$IV.$ A discount of $20 \%$

The selling price will be minimum under the scheme

hard

Nutan bought $30$ dozens of oranges for her juice stall in the school fair. She paid $Rs.\, 8$ per dozen of oranges. She also had to pay $Rs\, 500$ as the stall fee to the school authorities. She calculated that each glass'of juice would need $3$ oranges. How much should she charge per glass of juice so as to make $20 \%$ profit in $Rs?$

medium

A trader marked his goods at $20 \%$ above the cost price. He sold half the stock at the marked price, one quarter at a discount of $20 \%$ on the marked price and the rest at a discount of $40 \%$ on the marked price. His total gain is in $\%$?

hard

Three successive discounts of $10 \%, 12 \%$ and $15 \%$ will amount to a single discount of in $\%$?

medium