# 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 ?

2
by yeshwanthkumarg

2016-02-22T11:35:12+05:30

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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

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2016-02-22T12:48:51+05:30
Let Mohit buy a watch = Rs 100
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