Question

1
5. On selling a jug for 144, a man loses of his outlay. If it is sold for * 189, what is
the gain%?
7
(a) 12.5%
(b) 25%
(c) 30%
(d) 50%
​

Answer 1

Given:-

S.P. of the jug = ₹144

Loss:- 1 / 7 of his outlay

ATQ.

New S.P = ₹189

So, let C.P be x

Loss:- x ×1/7

Loss = x / 7

Formula used:-

S.P = C.P - Loss

144 = x - x / 7

144 = 7x - x / 7

Subtraction of like terms i.e. 7x-x= 6x

144 = 6x / 7

Now multiply 7 on both sides

144 × 7 = 6x

1008 = 6x

Now dividing six on both the sides to find C.P

1008 / 6 = 6x / 6

168 = x

So C.P we get = ₹ 168

Now

S.P = ₹189

To find profit formula:- S.P- C.P

Profit = 189 - 168

Profit = 21

Profit % = Profit/ C.P×100

Putting values:

Profit % =21/168×100

When we divide and multiple "21/168×100" we get our answer:-12.5

So the gain% =12.5%

Some important useful formulas:-

• Profit:- S.P-C.P
• Loss:- C.P-S.P
• Profit%:- Profit/C.P×100
• Loss%:- Loss/C.P×100
• S.P of profit:- (100 + P%)/100x C.P
• S.P of loss:- (100-L%)/100× C.P
• C.P of profit = (100 + P%)/100x SP.
• C.P of loss = (100 – L%)/100x SP.