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Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to the first at 6% p.a. simple interest. He wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend is
  • a)
    8%
  • b)
    16%
  • c)
    12%
  • d)
    14%
  • e)
    None of the Above
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to th...
D. 14%
Explanation: S.I. on Rs 15000 =(15000×6×1)/100 = Rs. 900 Profit to made on Rs 30000 = 30000×10/100=Rs 3000 S.I.on Rs.15000 = 3000-900 = Rs.2100 Rate=(S.I.* 100)/(P * T)=(2100×100)/15000 =14% per annum
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Most Upvoted Answer
Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to th...
D. 14%
Explanation: S.I. on Rs 15000 =(15000×6×1)/100 = Rs. 900 Profit to made on Rs 30000 = 30000×10/100=Rs 3000 S.I.on Rs.15000 = 3000-900 = Rs.2100 Rate=(S.I.* 100)/(P * T)=(2100×100)/15000 =14% per annum
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Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to th...
To find out the simple interest rate at which Vikram should lend the remaining sum of money to the second friend, let's break down the given information and solve step by step:

Given:
- Vikram lends Rs 30,000 to two of his friends.
- He gives Rs 15,000 to the first friend at 6% p.a. simple interest.
- He wants to make a profit of 10% on the whole amount.

Step 1: Calculate the interest earned from the first friend's loan:
Principal amount = Rs 15,000
Rate of interest = 6% p.a.
Time = 1 year

Using the formula for simple interest:
Interest = (Principal * Rate * Time) / 100
Interest = (15000 * 6 * 1) / 100 = Rs 900

Step 2: Calculate the total amount Vikram wants to earn as profit:
Profit percentage = 10%
Total amount lent = Rs 30,000
Profit = (Total amount lent * Profit percentage) / 100
Profit = (30000 * 10) / 100 = Rs 3000

Step 3: Calculate the remaining amount Vikram needs to lend:
Remaining amount = Total amount lent - Amount given to the first friend
Remaining amount = 30000 - 15000 = Rs 15000

Step 4: Calculate the interest rate at which Vikram should lend the remaining amount:
Interest = Profit - Interest earned from the first friend's loan
Interest = 3000 - 900 = Rs 2100
Principal = Remaining amount = Rs 15000
Time = 1 year

Using the formula for simple interest:
Interest = (Principal * Rate * Time) / 100
2100 = (15000 * Rate * 1) / 100
2100 = 150 * Rate
Rate = 2100 / 150 = 14%

Therefore, Vikram should lend the remaining sum of money to the second friend at a simple interest rate of 14% per annum. Hence, the correct answer is option 'D' (14%).
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Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to the first at 6% p.a. simple interest. He wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend isa)8%b)16%c)12%d)14%e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? for Quant 2025 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to the first at 6% p.a. simple interest. He wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend isa)8%b)16%c)12%d)14%e)None of the AboveCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Quant 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Vikram lends Rs 30,000 of two of his friends. He gives Rs 15,000 to the first at 6% p.a. simple interest. He wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend isa)8%b)16%c)12%d)14%e)None of the AboveCorrect answer is option 'D'. Can you explain this answer?.
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