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`44.A sum of Rs. 44 000 is divided into three parts such that the corresponding interest earned after 2 years 3 years and 6 years may be equal.If the rates of simple interest are 6% p.a. 8% p.a.and 6% p.a.respectively then the smallest part of the sum will be (a) Rs. 4 000 (b) Rs. 8 000 (c) Rs. 10 000 (d) Rs. 12 000`?
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`44.A sum of Rs. 44 000 is divided into three parts such that the corr...
Solution:

Given,

Total amount = Rs. 44,000

Rate of interest for 2 years = 6%

Rate of interest for 3 years = 8%

Rate of interest for 6 years = 6%

Let the three parts be x, y, and z.

According to the question,

x(1+2*6/100) = y(1+3*8/100) = z(1+6*6/100)

x(1.12) = y(1.24) = z(1.36)

x:y:z = 1.12:1.24:1.36

Let the common ratio be k.

Then,

x = 1.12k

y = 1.24k

z = 1.36k

x + y + z = 44,000

1.12k + 1.24k + 1.36k = 44,000

3.72k = 44,000

k = 11,827.957

x = 1.12k = Rs. 12,000 (smallest part)

Hence, the smallest part of the sum will be Rs. 12,000.

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Solution:

Given,


Total amount = Rs. 44,000


Rate of interest for 2 years = 6%


Rate of interest for 3 years = 8%


Rate of interest for 6 years = 6%


Let the three parts be x, y, and z.


According to the question,


x(1+2*6/100) = y(1+3*8/100) = z(1+6*6/100)


x(1.12) = y(1.24) = z(1.36)


x:y:z = 1.12:1.24:1.36


Let the common ratio be k.


Then,


x = 1.12k


y = 1.24k


z = 1.36k


x + y + z = 44,000


1.12k + 1.24k + 1.36k = 44,000


3.72k = 44,000


k = 11,827.957


x = 1.12k = Rs. 12,000 (smallest part)


Hence, the smallest part of the sum will be Rs. 12,000.
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`44.A sum of Rs. 44 000 is divided into three parts such that the corresponding interest earned after 2 years 3 years and 6 years may be equal.If the rates of simple interest are 6% p.a. 8% p.a.and 6% p.a.respectively then the smallest part of the sum will be (a) Rs. 4 000 (b) Rs. 8 000 (c) Rs. 10 000 (d) Rs. 12 000`?
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`44.A sum of Rs. 44 000 is divided into three parts such that the corresponding interest earned after 2 years 3 years and 6 years may be equal.If the rates of simple interest are 6% p.a. 8% p.a.and 6% p.a.respectively then the smallest part of the sum will be (a) Rs. 4 000 (b) Rs. 8 000 (c) Rs. 10 000 (d) Rs. 12 000`? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about `44.A sum of Rs. 44 000 is divided into three parts such that the corresponding interest earned after 2 years 3 years and 6 years may be equal.If the rates of simple interest are 6% p.a. 8% p.a.and 6% p.a.respectively then the smallest part of the sum will be (a) Rs. 4 000 (b) Rs. 8 000 (c) Rs. 10 000 (d) Rs. 12 000`? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for `44.A sum of Rs. 44 000 is divided into three parts such that the corresponding interest earned after 2 years 3 years and 6 years may be equal.If the rates of simple interest are 6% p.a. 8% p.a.and 6% p.a.respectively then the smallest part of the sum will be (a) Rs. 4 000 (b) Rs. 8 000 (c) Rs. 10 000 (d) Rs. 12 000`?.
Solutions for `44.A sum of Rs. 44 000 is divided into three parts such that the corresponding interest earned after 2 years 3 years and 6 years may be equal.If the rates of simple interest are 6% p.a. 8% p.a.and 6% p.a.respectively then the smallest part of the sum will be (a) Rs. 4 000 (b) Rs. 8 000 (c) Rs. 10 000 (d) Rs. 12 000`? in English & in Hindi are available as part of our courses for CA Foundation. Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
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