Question

Amit sells a watch at 20% gain. Had he sold it for ₹ 36 more, he would have gained 23%. Find the cost price of the watch.

Answer 1

Here's the answer

Let the cost price be x

Selling price = 120/100

If he had sold it for Rs 36 , he would gain 23%

120x/100 + 36 = 123x/100

36 = 123x/100 + 120x/100

36 = 243x/100

3600 = 243x

x = 3600/243

x = 14.8

x = 15 Rs ( approx )

Cost price = Rs 15

Thanks!!

Answer 2

Solution :

i ) Let the cost price of the watch = Rs x

gain ( g ) = 20%

selling price ( s.p ) = x[(100+x)/100]

= x[(100+20)/100]

= 120x/100

= 6x/100

According to the problem given ,


If Amit sell the Wath Rs 36 more , he

gain 23%

Here ,

c.p = Rs x

new gain ( g ) = 23%

s.p = 6x/5

Now ,

x[ (100+23)/100] = s.p + 36

=> 123x/100 = 6x/5 + 36

=> 123x/100 = ( 6x + 180 )/5

=> ( 123x × 5 )/100 = 6x + 180

=> 123x/20 = 6x + 180

=> 123x = 20( 6x + 180 )

=> 123x = 120x + 3600

=> 123x - 120x = 3600

=> x = 3600/3

=> x = Rs 1200

Therefore ,

Cost price of the watch = x = Rs 1200

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