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Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is:
  • a)
    3.5 percent
  • b)
    4 percent
  • c)
    3 percent
  • d)
    4.5 percent
  • e)
    6 percent
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for ...
Let the rate of interest be simple interest =
1422 =
1422 = 324r + 150r
1422 = 474 r
r = 1422 / 474
= 3 percent
Hence, the correct option is (c).
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Community Answer
Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for ...
Given Information:
Dalajit lent Rs 10,800 to Jaabir for 3 years.
Dalajit lent Rs 7,500 to Kabir for 2 years.
The total interest received from both Jaabir and Kabir is Rs 1,422.

To Find:
The rate of interest per annum.

Solution:
Let's assume the rate of interest per annum as 'r'.

Calculating Interest for Jaabir:
Principal amount lent to Jaabir = Rs 10,800
Time period = 3 years
Rate of interest per annum = r

Using the formula for simple interest: I = (P * T * R) / 100
Where I is the interest, P is the principal amount, T is the time period, and R is the rate of interest.

The interest received from Jaabir can be calculated as:
Interest from Jaabir = (10,800 * 3 * r) / 100

Calculating Interest for Kabir:
Principal amount lent to Kabir = Rs 7,500
Time period = 2 years
Rate of interest per annum = r

The interest received from Kabir can be calculated as:
Interest from Kabir = (7,500 * 2 * r) / 100

Total Interest Received:
The total interest received from both Jaabir and Kabir is given as Rs 1,422.
So, we can write the equation:
Interest from Jaabir + Interest from Kabir = 1,422

(10,800 * 3 * r) / 100 + (7,500 * 2 * r) / 100 = 1,422

Simplifying the equation further:
(32,400r + 15,000r) / 100 = 1,422
47,400r / 100 = 1,422
474r = 1,422
r = 1,422 / 474
r = 3

Hence, the rate of interest per annum is 3%.

Therefore, the correct answer is option 'C'.
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Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is:a)3.5 percentb)4 percentc)3 percentd)4.5 percente)6 percentCorrect answer is option 'C'. Can you explain this answer?
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Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is:a)3.5 percentb)4 percentc)3 percentd)4.5 percente)6 percentCorrect answer is option 'C'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is:a)3.5 percentb)4 percentc)3 percentd)4.5 percente)6 percentCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Dalajit lent Rs 10800 to Jaabir for 3 years and Rs 7500 to Kabir for 2 years on simple interest at the same rate of interest and received Rs 1422 in all from both of them as interest. The rate of interest per annum is:a)3.5 percentb)4 percentc)3 percentd)4.5 percente)6 percentCorrect answer is option 'C'. Can you explain this answer?.
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