Gujarati
Hindi
6.Interest
hard

Aditya invested certain amount in two different schemes $A$ and $B$. Scheme $A$ offer $S.I$ @ $12$ $p.c.p.a.$ and scheme $B$ offer $C.I.$ @ $10$ $p.c.p.a.$ Interest accured on the amount invested in scheme $A$ in $2$  years was $Rs. 3600$ and the total amount invested was $Rs. 35000$. What was the interest accured on the amount (In $Rs.$) invested in scheme $B$?

A

$4500$

B

$4200$

C

$4000$

D

Cannot be determine

Solution

Let the money in first installment $=$ Rs. $x$ Second installment $=$ Rs. $(35000-x)$

The principal is defined as:

$\Rightarrow P=\frac{3600 \times 100}{12 \times 2}=$ Rs. $15000 \quad$ (Using SI in scheme

The money in first installment $=$ Rs. $x=$ Rs. 15000 Scheme $B = Rs \cdot(35000-15000)= Rs \cdot 20000$

$\Rightarrow \quad C I=P\left[\left(1+\frac{R}{100}\right)^{2}-1\right]$

$=20000\left[\left(1+\frac{10}{100}\right)^{2}-1\right]=$ Rs. 4200

Standard 13
Quantitative Aptitude

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