Question

A man sells two scooters at 36000 each one scooter made 15% profit and on the other he makes 15% loss find the profit or loss percentage in the whole transaction

Answer 1

Answer :

He suffered a loss of 7%

Step-by-step explanation:

Selling Price of 1 scooter = 3600rs.

Selling Price of both scooters = 3600 × 2

=7200rs.

NOW,

1st scooter,

SP =3600rs. ; Rate of loss = 15%

CP = 3600 - {15%of 3600}

=> 3600 - {15/100 ×3600}

=>3600 - 540

=>3060rs.

2nd scooter,

SP =3600 ; Rate of Profit = 15 %

CP = 3600 + {15 % of 3600}

=> 3600 +540

=>4140rs.

Total CP = (3060+ 4140)rs.

=7740rs.

SINCE, CP > SP

THEREFORE , LOSS

LOSS = CP-SP

= 7740 - 7200

=540 rs

LOSS% = loss / CP ×100

= 540/7740 ×100

=6.99%

or 7 %(estimated)

HOPE THIS ANSWER HELPS YOU!

#enjoystudying.❤️

Answer 2

Solution!!

In this question, selling price (SP) of two scooters is given and the percentage of profit and loss on both the scooters is given. We have to find the profit or loss percentage of the whole transaction. To find that, we need to find out the cost price (CP) of both the scooters.

First scooter:-

SP = Rs 36000

Profit% = 15%

So, Profit% = $\sf \dfrac{SP-CP}{CP}\times 100$

15 = $\sf \dfrac{36000-CP}{CP}\times 100$

0.15 = $\sf \dfrac{36000-CP}{CP}$

0.15 CP = 36000 - CP

0.15 CP + CP = 36000

1.15 CP = 36000

CP = 36000 ÷ 1.15

CP = Rs 31304.35

Second scooter:-

SP = Rs 36000

Loss = 15%

So, Loss% = $\sf \dfrac{CP-SP}{CP}\times 100$

15 = $\sf \dfrac{CP-36000}{CP}\times 100$

0.15 = $\sf \dfrac{CP-36000}{CP}$

0.15 CP = CP - 36000

36000 = CP - 0.15 CP

36000 = 0.85 CP

CP = 36000 ÷ 0.85

CP = Rs 42352.94

Now that we have the CP and SP of both the scooters, we can find out the profit or loss percentage of the whole transaction.

Total CP = CP of first scooter + CP of second scooter

Total CP = Rs 31304.35 + Rs 42352.94

Total CP = Rs 73657.29

Total SP = SP of first scooter + SP of second scooter

Total SP = Rs 36000 + Rs 36000

Total SP = Rs 72000

CP>SP

Loss = Total CP - Total SP

Loss = Rs 73657.29 - Rs 72000

Loss = Rs 1657.29

Loss% = $\sf \dfrac{Loss}{CP}\times 100$

Loss% = $\sf \dfrac{1657.29}{73657.29}\times 100$

Loss% = 2.25%

Formulae to remember:-

→ Profit = SP - CP

→ Loss = CP - SP

→ Profit% = $\sf \dfrac{Profit}{CP}\times 100$

→ Loss% = $\sf \dfrac{Loss}{CP}\times 100$

FYI:-

SP is Selling Price

CP is Cost Price

If SP>CP, then it is profit.

If CP>SP, then it is loss.