Question

Sudha purses two computer for ₹ 18000 and ₹ 15000 respectively. she sold them at a loss of 15% and at a gain of 19 % respectively. find the selling price of each of the computer. also, find the overall profit and loss percent in the transaction ​

Answer 1

Given :-

CP of 1st computer = ₹18,000

Loss in 1st computer = 15%

CP of 2nd computer = ₹15,000

Profit in 2nd computer = 19%

To Find :-

The selling price of each computers and the overall profit or loss percentage.

Solution :-

$\huge{\sf{\underline{\underline{\blue{1st\: Case}}}}}$

CP = ₹18,000 ; Loss percentage = 15%

Total loss = 15% of 18000

$\implies\: Total\: loss\: =\: {\dfrac{15}{100}}\: \times\: 18000$

= ₹2700

In case of a loss -

Selling price = CP - Loss

= ₹(18000 - 2700)

= ₹15300

Therefore, selling price of 1st computer is ₹ ₹ 15,300

$\huge{\sf{\underline{\underline{\blue{2nd\: Case}}}}}$

CP = ₹15,000 ; Profit percentage = 19%

Total profit = 19% of 15000

$\implies\: Total\: profit\: =\: {\dfrac{19}{100}}\: \times\: 15000$

= ₹2,850

In case of profit -

Selling price = CP + profit

=(15000 + 2850)

= ₹17850

Therefore, selling price of 2nd computer is ₹ 17,850

$\huge{\sf{\underline{\underline{\blue{Overall\: Case}}}}}$

Total CP = ₹( 18000 + 15000)

= ₹33000

Total SP = ₹(15300 + 17850)

= ₹33,150

Since SP>CP

therefore, there is a profit

Total profit = ₹(33150 - 33000)

= ₹150

Now,

$Profit\: Percentage\: =\: {\dfrac{Profit\: \times\: 100}{CP}}$

On inserting the values in the formula

We get ,

$Profit\: Percentage\: =\: {\dfrac{150\: \times\: 100}{33000}}$

=0.45

Therefore overall profit is 0.45%