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Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 are put on deposit on simple interest @ 4%, 6%, 7.5% and 8% per annum - each amount having been put on deposit at a different rate of interest. It is also known that the highest principal amount has not been put on deposit at the lowest rate of interest and vice versa; likewise It is also known that the highest principal amount has not been put on deposit at the highest rate of interest and the lowest principal amount has not been put on deposit at the lowest rate of interest. If the highest principal amount does not earn maximum interest, what is the rate of interest (in %) for Rs.7000
  • a)
    4
  • b)
    6
  • c)
    7.5
  • d)
    8
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 a...

Based on the table which lists the possible options, we can clearly eliminate options ‘A’, ‘B’ and ‘C’. Rs. 7000 earns maximum interest which violates the given condition.
This leaves option ‘D’ and in this case, Rs. 7000 is not earning highest interest which leads us to the required answer i.e. option ‘d’.
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Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 a...
Problem Analysis:
We are given four principal amounts, each deposited at a different rate of interest. Let's assume that the principal amounts are P1, P2, P3, and P4, and the corresponding rates of interest are r1, r2, r3, and r4.

From the given information, we can infer the following conditions:
1. The highest principal amount has not been deposited at the lowest rate of interest, and vice versa.
2. The highest principal amount has not been deposited at the highest rate of interest.
3. The lowest principal amount has not been deposited at the lowest rate of interest.
4. The highest principal amount does not earn the maximum interest.

We need to determine the rate of interest for the principal amount of Rs. 7000.

Solution:
Let's consider the given principal amounts and rates of interest:

P1 = Rs. 3000, r1 = 4%
P2 = Rs. 4000, r2 = 6%
P3 = Rs. 6000, r3 = 7.5%
P4 = Rs. 7000, r4 = ?

To solve this problem, we can consider the different possible combinations of principal amounts and rates of interest and check if they satisfy the given conditions.

Combination 1:
P1 at r1, P2 at r2, P3 at r3, and P4 at r4
P1 = Rs. 3000 at 4%
P2 = Rs. 4000 at 6%
P3 = Rs. 6000 at 7.5%
P4 = Rs. 7000 at r4

From condition 1, we can infer that P4 cannot be deposited at r1, which means r4 cannot be 4%.

Combination 2:
P1 at r1, P2 at r2, P3 at r3, and P4 at r4
P1 = Rs. 3000 at 4%
P2 = Rs. 4000 at 6%
P3 = Rs. 6000 at 7.5%
P4 = Rs. 7000 at r4

From condition 2, we can infer that P4 cannot be deposited at r3, which means r4 cannot be 7.5%.

Combination 3:
P1 at r1, P2 at r2, P3 at r3, and P4 at r4
P1 = Rs. 3000 at 4%
P2 = Rs. 4000 at 6%
P3 = Rs. 6000 at 7.5%
P4 = Rs. 7000 at r4

From condition 3, we can infer that P1 cannot be deposited at r4, which means r4 cannot be 4%.

Combination 4:
P1 at r1, P2 at r2, P3 at r3, and P4 at r4
P1 = Rs. 3000 at 4%
P2 = Rs. 4000 at 6%
P3 = Rs. 6000 at 7.5%
P4 = Rs. 7000 at r4

From condition 4, we can infer that the principal amount
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Community Answer
Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 a...
The question asked what is the rate of interest for ₹7000 which is 6% means option B. But it's showing option D if anyone can clear my doubt I'll be obliged because in given answer also it's showing that ₹7000 has interest rate 6%.
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Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 are put on deposit on simple interest @ 4%, 6%, 7.5% and 8% per annum - each amount having been put on deposit at a different rate of interest. It is also known that the highest principal amount has not been put on deposit at the lowest rate of interest and vice versa; likewise It is also known that the highest principal amount has not been put on deposit at the highest rate of interest and the lowest principal amount has not been put on deposit at the lowest rate of interest. If the highest principal amount does not earn maximum interest, what is the rate of interest (in %) for Rs.7000a)4b)6c)7.5d)8Correct answer is option 'D'. Can you explain this answer?
Question Description
Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 are put on deposit on simple interest @ 4%, 6%, 7.5% and 8% per annum - each amount having been put on deposit at a different rate of interest. It is also known that the highest principal amount has not been put on deposit at the lowest rate of interest and vice versa; likewise It is also known that the highest principal amount has not been put on deposit at the highest rate of interest and the lowest principal amount has not been put on deposit at the lowest rate of interest. If the highest principal amount does not earn maximum interest, what is the rate of interest (in %) for Rs.7000a)4b)6c)7.5d)8Correct answer is option 'D'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 are put on deposit on simple interest @ 4%, 6%, 7.5% and 8% per annum - each amount having been put on deposit at a different rate of interest. It is also known that the highest principal amount has not been put on deposit at the lowest rate of interest and vice versa; likewise It is also known that the highest principal amount has not been put on deposit at the highest rate of interest and the lowest principal amount has not been put on deposit at the lowest rate of interest. If the highest principal amount does not earn maximum interest, what is the rate of interest (in %) for Rs.7000a)4b)6c)7.5d)8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Four distinct amounts i.e. Rs. 3000, Rs. 4000, Rs. 6000 and Rs. 7000 are put on deposit on simple interest @ 4%, 6%, 7.5% and 8% per annum - each amount having been put on deposit at a different rate of interest. It is also known that the highest principal amount has not been put on deposit at the lowest rate of interest and vice versa; likewise It is also known that the highest principal amount has not been put on deposit at the highest rate of interest and the lowest principal amount has not been put on deposit at the lowest rate of interest. If the highest principal amount does not earn maximum interest, what is the rate of interest (in %) for Rs.7000a)4b)6c)7.5d)8Correct answer is option 'D'. Can you explain this answer?.
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