Question

Rohit purchased a tablet and a desktop for Rs 32000. He sold the tablet phone at a loss of 10% and the desktop at a profit of 10%. If his total profit was 1200, find the cost price of the desktop

Answer 1

Answer:-

Let the CP of Tablet phone be "x".

CP of desktop = (32000 - x)

given,

Total CP = Rs. 32000

Total Profit = 1200

SP - CP = 1200

$Selling \: price \: of \: tablet \: phone \: = x \times \frac{100 - 10}{100} \\ \\ SP \: of \: tablet \: phone \: = \frac{90x}{100} \\ \\ Selling \: price \: of \: desktop \: = (32000 - x) \times \frac{100 + 10}{100} \\ \\ sp \: of \: desktop \: = \frac{(32000 - x) \times 110}{100} \\ \\ Total \: SP \: = \frac{90x + 3520000 - 110x}{100} \\ \\ Total \: SP \: = \frac{3520000 - 20x}{100}$

According to the question,

$\frac{3520000 - 20x}{100} - 32000 = 1200 \\ \\ \frac{3520000 - 20x - 3200000}{100} = 1200 \\ \\ 320000 - 20x = 120000 \\ \\ - 20x = 120000 - 320000 \\ \\ x = \frac{ - 200000}{ - 20} \\ \\ x = 10000.$

CP of desktop = 32000 - x

=> 32000 - 10000

=>22000.

Hence, the Cost price of the desktop is Rs. 22,000.