A man lent 6000 rupees to Basu for two years and 24000 Chetan for 4 years and received altogether from 900 rupees as interest find the rate of interest simple interest being calculated
Answers
Answer:
1.2%
Step-by-step explanation:
6000*x/24 + 24000*x/48 = 900
12000x+24000x / 48 = 900
36000x/48 = 900
750x = 900
x = 900/750
x = 1.2%
The rate of interest = 1.2%
Given:
A man lent 6000 Rs to Basu for 2 years
He lent 24000 Rs for Chetan for 4 years
The interest he received from both = 900 Rs
To find:
The rate of interest simple interest being calculated
Solution:
The interest gained from Basu
Here, the amount he lent P = 6000 for time period T = 2 years
Let the rate of interest = R
As we know Interest = (PTR)/100
⇒ Interest = (6000×2×R)/100 = 120 R
The interest gained from Chetan
Here, the amount he lent P = 24000 for time period T = 4 years
Let the rate of interest = R
⇒ Interest = (24000×4×R)/100 = 240R × 4 = 960 R
The total interest gained = 120 R + 960 R = 1080 R
From given data interest received = 900 Rs
⇒ 1080 R = 900
⇒ R = 1.2 %
The rate of interest = 1.2%
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