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Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?
- a)5%
- b)7.5%
- c)8%
- d)8.5%
- e)10%
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per an...
Answer –D.8.5% Explanation : Total Amount = 60000 Amount divided into three parts – x, y, z x = 10000, T = 1 yr SI(x) = (10000 * 11/2)/100 = 550 y = 32000 R = 6% SI(y) = (32000 * 6)/100 = 1920 Total Interest = 4000, Interest on the remaining amount = 4000 – 550 – 1920 = 1530
z = 60000 – 32000 – 10000 = 18000 R = (1530 * 100) /18000 = 8.5%
z = 60000 – 32000 – 10000 = 18000 R = (1530 * 100) /18000 = 8.5%
Most Upvoted Answer
Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per an...
Given:
- Total amount Rahul has = Rs. 60,000
- Amount lent at 11/2% per annum SI = Rs. 10,000
- Amount lent at 6% per annum SI = Rs. 32,000
- Total annual interest earned = Rs. 4,000
To find: Rate of interest per annum at which the remaining money is lent
Solution:
Step 1: Find the SI earned on Rs. 10,000 at 11/2% per annum SI
SI = (P * R * T)/100
where,
P = Principal amount = Rs. 10,000
R = Rate of interest = 11/2% = 11/2/100 = 0.055
T = Time period = 1 year
SI = (10,000 * 0.055 * 1)/100 = Rs. 550
Step 2: Find the SI earned on Rs. 32,000 at 6% per annum SI
SI = (P * R * T)/100
where,
P = Principal amount = Rs. 32,000
R = Rate of interest = 6% = 6/100 = 0.06
T = Time period = 1 year
SI = (32,000 * 0.06 * 1)/100 = Rs. 1,920
Step 3: Find the total SI earned on Rs. 10,000 and Rs. 32,000
Total SI = Rs. 550 + Rs. 1,920 = Rs. 2,470
Step 4: Find the remaining amount that Rahul has
Remaining amount = Total amount - Amount lent at 11/2% per annum SI - Amount lent at 6% per annum SI
Remaining amount = Rs. 60,000 - Rs. 10,000 - Rs. 32,000 = Rs. 18,000
Step 5: Find the rate of interest per annum at which the remaining money is lent
SI = (P * R * T)/100
where,
P = Principal amount = Rs. 18,000
R = Rate of interest = ?
T = Time period = 1 year
SI = Rs. 4,000 - Rs. 2,470 = Rs. 1,530
R = (SI * 100)/(P * T)
R = (1,530 * 100)/(18,000 * 1)
R = 8.5%
Therefore, the rate of interest per annum at which the remaining money is lent is 8.5%.
Hence, option (D) is the correct answer.
- Total amount Rahul has = Rs. 60,000
- Amount lent at 11/2% per annum SI = Rs. 10,000
- Amount lent at 6% per annum SI = Rs. 32,000
- Total annual interest earned = Rs. 4,000
To find: Rate of interest per annum at which the remaining money is lent
Solution:
Step 1: Find the SI earned on Rs. 10,000 at 11/2% per annum SI
SI = (P * R * T)/100
where,
P = Principal amount = Rs. 10,000
R = Rate of interest = 11/2% = 11/2/100 = 0.055
T = Time period = 1 year
SI = (10,000 * 0.055 * 1)/100 = Rs. 550
Step 2: Find the SI earned on Rs. 32,000 at 6% per annum SI
SI = (P * R * T)/100
where,
P = Principal amount = Rs. 32,000
R = Rate of interest = 6% = 6/100 = 0.06
T = Time period = 1 year
SI = (32,000 * 0.06 * 1)/100 = Rs. 1,920
Step 3: Find the total SI earned on Rs. 10,000 and Rs. 32,000
Total SI = Rs. 550 + Rs. 1,920 = Rs. 2,470
Step 4: Find the remaining amount that Rahul has
Remaining amount = Total amount - Amount lent at 11/2% per annum SI - Amount lent at 6% per annum SI
Remaining amount = Rs. 60,000 - Rs. 10,000 - Rs. 32,000 = Rs. 18,000
Step 5: Find the rate of interest per annum at which the remaining money is lent
SI = (P * R * T)/100
where,
P = Principal amount = Rs. 18,000
R = Rate of interest = ?
T = Time period = 1 year
SI = Rs. 4,000 - Rs. 2,470 = Rs. 1,530
R = (SI * 100)/(P * T)
R = (1,530 * 100)/(18,000 * 1)
R = 8.5%
Therefore, the rate of interest per annum at which the remaining money is lent is 8.5%.
Hence, option (D) is the correct answer.
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Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per an...
Answer –D.8.5% Explanation : Total Amount = 60000 Amount divided into three parts – x, y, z x = 10000, T = 1 yr SI(x) = (10000 * 11/2)/100 = 550 y = 32000 R = 6% SI(y) = (32000 * 6)/100 = 1920 Total Interest = 4000, Interest on the remaining amount = 4000 – 550 – 1920 = 1530
z = 60000 – 32000 – 10000 = 18000 R = (1530 * 100) /18000 = 8.5%
z = 60000 – 32000 – 10000 = 18000 R = (1530 * 100) /18000 = 8.5%
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Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer?
Question Description
Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer?.
Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer?.
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ample number of questions to practice Out of Rs. 60,000 that Rahul has, he lends Rs. 10,000 at 11/2 % per annum simple interest and Rs. 32,000 at 6% per annum simple interest. He lends the remaining money at a certain rate of interest so that he gets total annual interest of Rs. 4000. The rate of interest per annum, at which the remaining money is lent, is?a)5%b)7.5%c)8%d)8.5%e)10%Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Quant tests.
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