Question

By selling an article for rs144, a man loses 1/7 th of his outlay. If it is sold for rs 189, what is the gain or loss percent?

Answer 1

By selling an article for rs144, a man loses 1/7 th of his outlay.


Let the cost price be x

then. x - (1/7)x =144

x - x/7 = 144

7x-x/7 = 144

6x/7 = 144

6x = 144×7

x= 144×7/6 = 168 is the cost price..

If it is sold for rs 189, selling Price= 189

Selling Price>cost price

189>168

so profit exists

Profit /Gain
= selling Price - cost price

= 189 - 168

= 21


Gain Percentage = (Gain/cost price)×100

=(21/168)×100

=2100/168

=12.5%

Answer 2

Answer: Hope this will help you.....

Step-by-step explanation:

Answer:

Step-by-step explanation:

Gain percent is 12.5%

Step-by-step explanation:

Given,

S.P. of the jug = rs. 144

Also,

He loses 1 / 7 of his outlay on this price

According to question,

New S.P. = 189

So,

Let C.P. be Rs. x

Loss = x * 1 / 7

Loss = x / 7

We know,  

S.P. = C.P - Loss

144 = x - x / 7

144 = 7x - x / 7

144 =  6x / 7

Multiplying both sided by 7

144 * 7 = 6x

1008 = 6x

Dividing both sides by 6

1008 / 6 = 6x / 6

168 = x

Hence,

C. P = rs 168

Since,

S.P = rs 189

Profit = SP - CP

Profit = 189 - 168

Profit = 21

Profit % =  * 100

Profit % =  * 100

Profit % = 12.5%

Hence,

Gain percent is 12.5%