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A man invested Rs 9000 in simple interest for 18 months at (R/5)% and received interest of Rs 1350. If he invests Rs 30R in compound interest at 10% p
Question



A man invested Rs 9000 in simple interest for 18 months at (R/5)% and received interest of Rs 1350. If he invests Rs 30R in compound interest at 10% p.a. for two years, then find the amount he received (in Rs).

A.

1815

B.

2115

C.

2025

D.

2450

E.

2100

Correct option is A


Information Given:
A man invested Rs 9000 in simple interest for 18 months at (R/5)%.
Received interest of Rs 1350.
He invests Rs 30R in compound interest at 10% p.a. for two years
Formulas Used:
A=P(1+r100)tA = P \left(1 + \frac{r}{100}\right)^t
Simple Interest=Principal×Rate of Interest×Time Period100\text{Simple Interest} = \frac{\text{Principal} \times \text{Rate of Interest} \times \text{Time Period}}{100}
A = amount
P = principal
r = rate of interest
t = Time
Compound interest = Amount - Principal
Basic Explanation:

ATQ,
Amount invested in compound interest = 30R=30×50=Rs 1500
Cumulative compound interest =

Required amount =

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