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Raghu lends Rs 50,000 of two of his friends. He gives Rs 30,000 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)
    11%
  • d)
    17%
  • e)
    19%
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Raghu lends Rs 50,000 of two of his friends. He gives Rs 30,000 to the...
Answer –B.16% Explanation : S.I. on Rs 30000 =(30000×6×1)/100 = Rs. 1800 Profit to made on Rs 50000 = 50000×10/100=Rs 5000 S.I.on Rs.20000 = 5000-1800 = Rs.3200 Rate=(S.I.* 100)/(P * T)=(3200×100)/20000 =16% per annum
Shortcut: 6……………………x ………..10…………….
3………………………2
4/(x-10)=2/3 x=16
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Most Upvoted Answer
Raghu lends Rs 50,000 of two of his friends. He gives Rs 30,000 to the...
To find the simple interest rate at which Raghu should lend the remaining sum of money to the second friend, we need to consider the total amount of money lent and the profit Raghu wants to make.

Given:
- Amount lent to the first friend = Rs 30,000
- Rate of interest for the first friend = 6% p.a.
- Total amount lent to both friends = Rs 50,000
- Profit Raghu wants to make = 10%

Calculating the interest earned on the first loan:
Interest earned on the first loan = (Principal * Rate * Time) / 100
= (30,000 * 6 * 1) / 100
= 1,800

Calculating the total amount after interest on the first loan:
Total amount after interest on the first loan = Principal + Interest earned
= 30,000 + 1,800
= 31,800

Calculating the remaining amount to be lent:
Remaining amount = Total amount lent - Amount lent to the first friend
= 50,000 - 30,000
= 20,000

Calculating the total amount after profit:
Total amount after profit = Total amount lent + Profit
= 50,000 + 10% of 50,000
= 50,000 + 5,000
= 55,000

Calculating the interest rate for the second loan:
Interest earned on the second loan = Total amount after profit - Total amount after interest on the first loan
= 55,000 - 31,800
= 23,200

Rate of interest for the second loan = (Interest earned on the second loan / Principal) * 100
= (23,200 / 20,000) * 100
= 116%

Therefore, the simple interest rate at which Raghu should lend the remaining sum of money to the second friend is 16% (option B).
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Community Answer
Raghu lends Rs 50,000 of two of his friends. He gives Rs 30,000 to the...
Answer –B.16% Explanation : S.I. on Rs 30000 =(30000×6×1)/100 = Rs. 1800 Profit to made on Rs 50000 = 50000×10/100=Rs 5000 S.I.on Rs.20000 = 5000-1800 = Rs.3200 Rate=(S.I.* 100)/(P * T)=(3200×100)/20000 =16% per annum
Shortcut: 6……………………x ………..10…………….
3………………………2
4/(x-10)=2/3 x=16
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Raghu lends Rs 50,000 of two of his friends. He gives Rs 30,000 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)11%d)17%e)19%Correct answer is option 'B'. Can you explain this answer?
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