Question

A VCR and TV were bought for ₹8,000 each. The shopkeeper made a loss of 4% on the VCR and a profit of 8% on the TV. Find the gain or loss percent on the whole transaction.

Answer 1

Step 1: Calculating the SP of the VCR
C.P of a VCR = ₹8,000
Given that,
The shopkeeper made a loss of 4% on a VCR
This means if C.P. is ₹100 then S.P. is ₹96.
$\therefore$ When C.P. is ₹8,000.
S.P. \(=\left (\dfrac {96}{100}\right )\times 8,000= ₹7,680\)

Step 2: Calculating the SP of the TV
Given that C.P. of a TV = ₹8,000
The shopkeeper made a profit of 8% on a TV.
This means if C.P. is ₹100 then S.P. is ₹108
$\therefore$ When C.P. is ₹8,000
S.P. $=\left(\frac{108}{100}\right)\times 8,000=₹8,640$

Step 3: Calculating the total SP and CP
Total S.P. = ₹7,680 + ₹8,640 = ₹16,320
Total C.P. = ₹8,000 + ₹8,000 = ₹16,000

Step 4: Calculating the gain/loss percentage
Since, Total S.P. > Total C.P.
Therefore, the shopkeeper gains profit.
Profit = ₹16,320 - ₹16,000 = ₹320
and, profit percent $=\left(\frac{\text{profit}}{\text{C.P.}}\right)\times 100\text{\% = 2\%}$
Thus, the shopkeeper had a gain of 2% on the whole transaction