Question

Byselling price of pen is ₹195 a man looses one sixteenth of what it costs him. Find the cost price and loss percentage..

Answer 1

$\bf\huge\underline\red{Answer}$

The CP of the pen is Rs. 208 and the loss percentage is 6.25% respectively.

$\bf\huge\underline\purple{Explanation}$

Given :

Selling price of pen = Rs.195

Loss suffered = 1/16 th of C.P

To find :

The cost price and the loss percentage.

Solution :

Let the C.P be x

Therefore, Loss = x/16

And C.P = S.P + Loss

According to question,

$= > x = 195 + \dfrac{x}{16}$

$= > x - \dfrac{x}{16 } = 195$

$= > \dfrac{16x - x}{16} = 195$

$= > \dfrac{15x}{16} = 195$

$= > 15x = 3120$

$= > x = \dfrac{3120}{15}$

$= > x = 208$

Hence, the C.P is Rs.208

And the loss :-

$= Rs. \: (\dfrac{1}{16} \times 208)$

$= Rs. \: 13$

We know that,

$Loss\% = ( \dfrac{l}{CP} \times 100)\%$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: = (\dfrac{13}{208} \times 100)\%$

$\: \: \: \: \: \: \: \: \: \: \: \:\: \: = 6.25\%$

Hence, the loss percentage is 6.25%

Answer 2

Answer:

The cost price of pen is ₹208 and loss percentage is 6.25 %

Step-by-step explanation:

Given Problem:

By selling price of pen is ₹195 a man looses one sixteenth of what it costs him. Find the cost price and loss percentage.

Solution:

To Find:

Cost price of pen and loss percentage.

-------------------------

Method:

According to your question:

Selling price of pen. = ₹195

Loss suffered to the man. = 1/16th of C.P

Let the Cost Price be Rs a

So,

Loss = $\dfrac{a}{16}$

We know that,

$\implies\ Cost\: price = Selling\: price + Loss.$

$\implies\ Selling\: price = Cost\: price - Loss.$

Now,

$\implies\ a = 195 +\dfrac{a}{16}$

$\implies\ a - \dfrac{a}{16} = 195$

$\implies\dfrac{16a-a}{16} = 195$

$\implies\dfrac{15a}{16} = 195$

$\implies\ 15a = 3120$

$\implies\ a = \dfrac{3120}{15}$

$\implies\ a = 208$

Hence, It implies that C.P is ₹208.

And,

Loss = $Rs. (\dfrac{1}{6} \times 208)$

Loss = Rs. 13

We know that,

$\implies\ Loss \%= (\dfrac{Loss}{C.P} \times 100)\%$

$\implies(\dfrac{13}{208 } \times100)\% = 6.25\%$

Therefore,

The C.P of pen is  ₹208 and loss percent is 6.25%