# Mohit sold a watch to Karim at a gain of 10% and Karim sold it to Rahim at a gain of 4%. If Rahim pays RS 14300 for it , for how much did Mohit purchase it ?

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Let C.P of watch For Mohit = x

Mohit Sold It At a profit of 10%

So,

S.P of Mohit = x + 10x/100

= 110x/100

= 11x/10

S.P of Mohit = C.P for Karim

No**,**

Karim sells it at a profit of 4%

So S.P of Karim = 11x + 11x * 4

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

10 10 * 100

= 1100x + 44x / 1000

S.P Of karim = C.P of Rahim

But Rahim Pays 14300 for it

Therefore,

1144x /1000 = 14300

x = 14300 * 1000/1144

**x = Rs 12500**

Therefore,

**Mohit Buys The Watch For Rs 12500**

Mohit Sold It At a profit of 10%

So,

S.P of Mohit = x + 10x/100

= 110x/100

= 11x/10

S.P of Mohit = C.P for Karim

No

Karim sells it at a profit of 4%

So S.P of Karim = 11x + 11x * 4

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

10 10 * 100

= 1100x + 44x / 1000

S.P Of karim = C.P of Rahim

But Rahim Pays 14300 for it

Therefore,

1144x /1000 = 14300

x = 14300 * 1000/1144

Therefore,

sold at a gain of 10% = 100+100*10%

= 100 +10 = 110

now karim cp = 110

he sold at 4% gain = 110 +(110*4%)

= 110 + 4.4 = 114.40

so,

by using direct variation method

Karim Mohit

114.40 100

14300 ?

Mohit = 14300 x 100

----------------- = Rs.12500

114.40