Question

Principal- 10150, Rate of intrest-9 Times 6
Intrest = ? Amount - ?​

Answer 1

Answer:

Given :-

Loss percentage = 5%

Ist selling price = 26.65

2nd selling price = 31.05

To Find :-

His gain percentage.

Solution :-

Let the cost price be x

$\sf{\huge{\bold{\boxed{\blue{1st\: Case}}}}}$

Cost price = x

Selling price = 26.65

Loss percentage = 5%

We know that,

Total loss = 5% of CP

${\sf{=\: 5\: \%\: of\: x}}$

${\sf{=\: {\dfrac{5\: \times\: x}{100}}}}$

${\sf{=\: {\dfrac{x}{20}}}}$

Selling price = CP - Loss

${\sf{=\: x\: -\: {\dfrac{x}{20}}}}$

${\sf{=\: {\dfrac{20x\: -\: x}{20}}}}$

${\sf{=\: {\dfrac{19x}{20}}}}$

But also given that, SP = 26.65

Therefore,

According to question,

${\sf{26.65\: =\: {\dfrac{19x}{20}}}}$

${\sf{x\: =\: {\dfrac{26.65\: \times\: 20}{19}}}}$

${\sf{x\: =\: {\bold{28.05}}}}$

Therefore, CP = 28.05

$\sf{\huge{\bold{\boxed{\blue{2nd\: Case}}}}}$

CP = 28.05

SP = 31.05

Total profit = SP - CP

= 31.05 - 28.05

= 3

We know that,

${\sf{Profit\: Percentage\: =\: {\dfrac{Profit\: \times\: 100}{CP}}}}$

On inserting the values in the formula

We get ,

${\sf{Profit\: Percentage\: =\: {\dfrac{3\: \times\: 100}{28.05}}}}$

${\sf{Profit\: Percentage\: =\: {\bold{10.69}}}}$

....... ... .

..

..

Therefore, profit percentage is 10.69 %