A man invested a certain sum in scheme A at 15% p.a. for 2 years and earned Rs 1950 as simple interest. He increased his sum by Rs. ’x’ and invested in another scheme B at 10% p.a. C.I. for 2 years and received Rs. 1680 as compound interest. Find the value of ’x’ ?

Rs. 1750

Rs. 1500

Rs. 1250

None of these

Rs. 1850

Answer : Option B

Explanation :

Sum= $frac{{1950 imes 100}}{{2 imes 15}} = { m{Rs;}}6500$

CI in 2 years at 10% per annum

= 10+10+ $frac{{10 imes 10}}{{100}}$ =21%

ATQ

(6500+x)× $frac{{21}}{{100}}$ =1680

⇒(6500+x)=8000

x=Rs 1500

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