Question

A watch was sold on its marked price at a gain of 20 % but after allowing 5%discount there would have been gained Rs140 only. At what price the shopkeeper purchased the watch?

Answer 1

Answer:

Step-by-step explanation:

Let' assume CP of watch was 100x. Then he initially sold the watch at gain of 20% i.e 120x

However, if he would have allowed a discount of 5% on 120x he would have gained Rs 140.

5% of 120x= 6x

SP1= 120x-6x = 114x

Rs 140 = 114x-100x i.e 14x

Then x will be = 140/14 = 10

x=10

Now that you have got the value of x, put it in the question.

CP= 100*10 = 1000 rs

SP= 120*10= 1200 rs

SP1= 114*10= 1140 rs

Answer 2

Answer:

The price of the watch purchased by the shopkeeper = Rs 1000.

Step-by-step explanation:

Given:

A watch was sold at its market price at a gain of 20 % but after allowing a 5%discount there would have been gained Rs140 only.

To find:

the price of the shopkeeper purchased the watch.

Step 1

Let the cost price of the watch = x.

Marked price = x(1+20%) = 6 x / 5.

After discount 5%,

6x/5(1 - 5%) = x + 140.

Step 2

Simplifying the above equation, we get

$6 x / 5 * 19 / 20=x+140$

114x/100 - x = 140.

$(114 x-100 x)=100*140 .$

$x=100 * 140 / 14$

x = Rs 1000

Therefore, the price of the watch purchased by the shopkeeper = Rs 1000.

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