Question

Rakesh buys a scooter worth rs. 10,000. he sells it to mohan at a profit of 10%. if after sometime mohan sells it back to rakesh at a loss of 10%, then totally: op 1: rakesh loses rs. 100 op 2: rakesh loses rs. 1100 op 3: rakesh gains rs. 100 op 4: rakesh gains rs. 11

Answer 1

For Rakesh,

CP = 10,000   Profit = 10%

SP = ((100+P%)/100) * CP

SP = ((100+10)/100) * 10000

SP = 11,000

For Mohan,

CP= 11,000  Loss = 10%

SP = ((100-10)/100) * 11000

SP = 9900

Therefore, totally Rakesh gains Rs.(11000-9900) i.e. Rs. 1100

Answer 2

Given:

Price at which Rakesh bought the scooter = Rs. 10,000

Profit percentage at which he sells the scooter to Mohan = 10%

Loss percentage at which Mohit sells the scooter back to Rakesh = 10%

To find:

The correct option.

Solution:

Let us first find out the profit that Rakesh makes by selling the scooter:

Profit = 10/100 * 10,000 = Rs. 1000

Thus, the selling price will be= Rs. 10,000 + 1000 = Rs. 11,000

Now, let us first find out the loss that Mohan faces by selling the scooter back:

Loss = 10/100 * 11,000 = Rs. 1100

Thus, the selling price will be= Rs. 11,000 + 1100 = Rs. 9,900

Rakesh's gain = Rs. 10,000 - Rs. 9,900 = Rs. 100

Thus, Rakesh gain Rs. 100, option 3 is correct.