Question

Ruksana buysa scooter and sells it to her friend Monica at a loss of 5%. Monica spends
33,000 on repairing the scooter and sells it to Tony at a profit of 4%. If the cost price of the
scooter for Tony is 35,000, find the cost price for Ruksana.​

Answer 1

Cost price of scooter when Tony bought it =35,000

Profit percentage when Monica sold the scooter to Tony=4%

We know that :-

$profit \: \% = \frac{profit}{CP} \times 100$

Which means the profit Monica earned :-

Let the profit be x.

$= 4= \frac{x}{35000} \times 100$

$= 4= \frac{100x}{35000}$

$= 4\times 35000 = 100x$

$= 140000 = 100x$

$= x = \frac{140000}{100}$

$= x = 1400$

Hence profit Monica incurred = 1,400

Cost of the scooter after Monica repaired it :-

$= 35000 - 1400$

$= 33600$

Money Monica spent on the scooter's repair =33,000

Which means the price at which Monica bought the scooter :-

$= 33600 - 33000$

$= 600$

Thus, the cost price of the scooter for Monica is=600

Percentage of loss Ruksana incurred when she sold the scooter to Monica =5%

We know that :-

$loss \: \% = \frac{loss}{CP} \times 100$

Which means loss Ruksana faced :-

Let x be the loss .

$= 5 \: = \frac{x}{600} \times 100$

$= 5 = \frac{100x}{600}$

$= 5 \times 600 = 100x$

$= 3000 = 100x$

$= x = \frac{3000}{100}$

$= x = 30$

Thus loss Ruksana incurred when she sold the scooter to Monica =30

Which means :-

The price at which Ruksana bought the scooter :-

$= 600 + 30$

$= 630$

Thus, the price at which Ruksana bought the scooter =630

Therefore, the cost price of the scooter when Ruksana bought it= 630