Question

Gopi sold a laptop at 12% gain. If it had been sold for ₹1200 more, the gain would have been 20%. Find the cost price of the laptop.​

Answer 1

Answer:

The cost price of the laptop is Rs15000

Step-by-step explanation:

Let the cost price of the laptop be Rs X.

If gain is 12% then selling price = X+(12/100) X = 1.12X

If gain is 20% then selling price is = X+(20/100) X = 1.2X

Now according to question,

1.2X-1.12X =1200

0.08X = 1200

X = 1200/0.08 = Rs 15000

Thus the cost price of the laptop is Rs 15000.

Answer 2

The cost price of the laptop is Rs 15000

Solution:

Let the cost price of the laptop be ‘x’.

Profit earned by selling laptop is 12%.

If it was sold for Rs 1200 more than the profit earned would have been 20%.

Therefore we can frame a equation as,

$x+12 \% \times x+1200=x+20 \% \times x$

$x + \frac{12}{100} \times x + 1200 = x + \frac{20}{100} \times x$

1.12x + 1200 = 1.2x

0.08x = 1200

$x=\frac{1200}{0.08}$

x = 15000.

Therefore the cost price of the laptop is Rs 15000