Question

Hello

Supriya has bought a clock. If she sells the clock at Rs. 370, her profit will be equal to the loss for selling it at Rs.210. Let us calculate and write the cost price of the clock.

Please answer.​

Answer 1

Answer:-

The Cost Price of the clock is Rs.290 respectively.

Explanation :-

In the first case,

Let the C.P of the clock be x

If the S.P is Rs.370, Then :-

Profit =(S.P - C.P)

= Rs.(370 - x)

We know that,

$p\% = ( \dfrac{p}{cp} \times 100) \: \%$

$\: \: \: \: \: \: \: = \dfrac{370 - x}{x} \times 100 \: \%$

$\: \: \: \: \: \: \: = \dfrac{37000 - 100x}{x} \: \%$

Therefore , the profit made by selling the clock at Rs.390 is (37000 - 100x/x) %

In the second case,

If the S.P is Rs.210, then

Loss = (C.P - S.P)

= Rs.(x - 210)

We know that,

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

$\: \: \: \: \: \: \: = \dfrac{x - 210}{x} \times 100 \: \%$

$\: \: \: \: \: \: \: = \dfrac{100x - 21000}{x} \: \%$

Therefore, the loss made by selling it at Rs.210 is (100x - 21000/x) %

Since, Profit = Loss

According to question,

$= > \dfrac{37000 - 100x}{x} = \dfrac{100x - 21000}{x}$

$= > 37000 - 100x = 100x - 21000$

$= > - 100x - 100x = - 21000 - 37000$

$= > - 200x = - 58000$

$= > 200x = 58000$

$= > x = \dfrac{58000}{200}$

$= > x = 290$

Hence, the C.P of the clock is Rs.290

Answer 2

Question= Supriya has bought a clock. If she sells the clock at Rs. 370, her profit will be equal to the loss for selling it at Rs.210. Let us calculate and write the cost price of the clock.

Solution⬇️

Let the cost price of the clock be ₹x.

If she sells the clock at ₹370

Profit=₹(370-x)

If she sells the clock at ₹210

Loss=₹(x-210)

A/c ,

x-210=370-x

⇒ x+x=370+210

⇒ 2x=580

ஃ x=₹290

ஃ The cost price of the clock is ₹290