Question

A sold a watch to B at a gain of 10% and B sold it to C at a loss of 10%. If C paid rupees 2970 for it , find the price paid by A ?​

Answer 1

Answer:

2940.3

Step-by-step explanation:

B sold to C at a loss of 10%= 2970

= 2970x 10/100

= 297

B purchased the watch for 2970+297= 3267

A sold the watch to B at gain of 10/100

= 3267x10/100

= 326.7

Therefore cost of watch paid by A 3267-326.7

= 2940.3

Answer 2

The price paid by A is Rs. 3000

Given :

• A sold a watch to B at a gain of 10% and B sold it to C at a loss of 10%

• C paid rupees 2970 for it

To find :

The price paid by A

Solution :

Step 1 of 2 :

Form the equation with given data

Let price paid by A = Rs. 100x

Since A sold a watch to B at a gain of 10%

So gain amount by A = Rs. 10x

Selling price by A

= Rs. 100x + Rs. 10x

= Rs. 110x

B sold it to C at a loss of 10%

So loss amount by B

$\displaystyle \sf{ =Rs. \: 110x. \frac{10}{100} }$

$\displaystyle \sf{ =Rs. \: 11x }$

Selling price by B

= Price paid by C

= Rs. 110x - Rs. 11x

= Rs. 99x

So by the given condition

99x = 2970

Step 2 of 2 :

Find price paid by A

99x = 2970

$\displaystyle \sf{ \implies x = \frac{2970}{99} }$

$\displaystyle \sf{ \implies x = 30 }$

Hence price paid by A

= Rs. 100x

= Rs. 100 × 30

= Rs. 3000

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ THE COST PRICE OF A PEN IS RS 250, IT WAS SOLD AT A LOSS OF 15%.THEN THE SELLING PRICE OF THE PEN IS

https://brainly.in/question/33206866

2. By selling an article for Rs 50 a shopkeeper gains Rs 10.His gain percent is_______

https://brainly.in/question/2176449