rahul borrowed rs 830from lal at 12p a s i for..., Simple Interest, General Mathematics

Question:Rahul borrowed Rs. `830`from Lal at `12%`p.a.S.I for `3` years.He than added some more money to the borrowed sum and lent it to shobha for the same period at `14%`p.a.rate of interest.If Rahul gains Rs.93.90` in the whole transaction,how much money did he add from his side ?

A `Rs.35` 
B `Rs.55` 
C `Rs.80` 
D `Rs.105`

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+ AnswerD

+ Explanation`((830 + x) xx 14 xx 3)/(100) - (830 xx 12 xx 3)/(100)`

`= 93.90`

`or 830 xx 42 + 42x - 830 xx 36`

`= 9390`

`or 42x + 830 xx (42 - 36)`

`= 9390`

`or 42x`

`= 9390 - 4980 ⇔ x`

`= 4410/42`

`= 105`

:. Money added

`= Rs. 105`

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