Question

A shopekeeper sells one machine for 990 rupees at profit 10% and another machine for 1960 rupees at loss of 2% what is his gain or loss percentage​.​

Answer 1

Answer:

Given:

SP of a machine = Rs. 990

Profit% = 10 %

SP of other machine = Rs. 1960

loss% = 2 %

We know that,

CP * (100 + profit%)/100 = SP

So,

first machine:

CP * (100 + 10)/100 = 990

⟹ CP = 990 * 100/110

⟹ CP = Rs. 900

second machine:

We know that,

CP * (100 - loss%)/100 = SP

⟹ CP * (100 - 2)/100 = 1960

⟹ CP = 1960 * 100/98

⟹ CP = Rs. 2000

Now,

We have to find the total loss or profit percentage.

Total SP = 990 + 1960 = Rs. 2950

Total CP = 900 + 2000 = Rs. 2900.

We observe that,

SP < CP.

so, a gain is occured.

gain % = gain/CP * 100

gain = SP - CP

So,

gain% = (2950 - 2900)/2900 * 100

⟹ gain% = 50/29

⟹ gain% = 1.72 %

∴ A gain 1.72% is occured in the whole transaction.

Answer 2

$\huge \mathbb{ \underline{ \color{navy}{ANSWER}}} \:$

• Gain% = 1.72%