Question

Question : 58
A person has Rs. 40000 out of which he puts Rs.
12000 at 10% SI for 3 years and Rs 16000 at 12.5%
Cl for 2 years and keeps the rest with himself. What
is the total amount with him after three years?​

Answer 1

Answer

For the first 2 years

S.I.=

100

P×N×R

⇒S.I.= 100 16,000×2×20

⇒S.I.=6,400

Amount = S.I. + P

⇒Amount=6,400+16,000

⇒Amount=22,400

Amount in the account at the end of the two years is Rs. 22,400.

For the remaining one year.A=P(1+ 2×100r ) n×2 ⇒A=22,400(1+20020 ) 2⇒A=22,400( 1011 )2⇒A=27,104

Answer 2

The Amount collected by the person after 3 years is Rs 47,850.

Given,

Total Amount = Rs 40,000

Amount for SI = Rs 12,000

SI Rate = 10%

SI Time period = 3 years

The amount for CI = Rs 16000

CI Rate = 12.5%

SI Time period = 2 years

To Find,

Amount collected by the person after 3 years

Solution,

Amount left at the beginning = 40,000 - 12,000 - 16,000

Amount left at the beginning = 40,000 - 28,000

Amount left at the beginning = Rs 12,000

Amount generated by SI = Principal Amount + Simple Interest

Amount generated by SI = 12,000 + $\frac{P*R*T}{100}$

where P is the Principal Amount

R is the Rate of Interest

T is Time Period

Amount generated by SI = 12,000 + $\frac{12000*10*3}{100}$

Amount generated by SI = 12,000 + 3,600

Amount generated by SI = Rs 15,600

Amount generated by CI = $P(1+\frac{R}{100})^T$

where P is the Principal Amount

R is the Rate of Interest

T is Time Period

Amount generated by CI = $16000(1+\frac{12.5}{100} )^2$

Amount generated by CI = 16000$(1+0.125)^2$

Amount generated by CI = 16000 * (1.125)²

Amount generated by CI = 16000 * 1.265

Amount generated by CI = Rs 20,250

Total Amount after 3 years = Amount left at the beginning + Amount generated by SI + Amount generated by CI

Total Amount after 3 years = 12,000 + 15,600 + 20,250

Total Amount after 3 years = 47,850

Hence, the total amount the person has after 3 years is Rs 47,850.

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