Question

By selling a table for RS.3168.Rashid loses 12%.Find irs cost price.What percent he gain or lose by selling the table for 3870

Answer 1

sp = 3168
loss= 12%
cp × loss= sp
cp(1-12/100)=3168
cp×88/100=3168
cp=28800/8
cp=72×50
cp=3600

now sp=3870
profit=3870-3600
=270
p%=270/3600 ×100
p%=30/4
p%=15/2
p%=7.5%

Answer 2

Let the cost price be 'x'.

Given Selling price = 3168.

Given Loss = 12%.

We know that Selling price = [(100 - Loss%)/100] * CP

= > 3168 = [(100 - 12)/100] * x

= > 3168 = (88x)/100

= > 316800 = 88x

= > 316800/88 = x

= > 3600 = x.

So,

The cost price of the table = 3600.

Now,

As you can see cost price < selling price.

So, Gain has occurred.

Gain = Selling price - Cost price

= > 3870 - 3600

= > 270.

We know that Gain% = (Gain * 100)/CP

= > (270 * 100)/3600

= > 27000/3600

= > 7.5%.

Therefore,

The cost price = 3600.

The Gain% = 7.5%.

Hope this helps!