If A borrowed Rs. P at x% and B borrowed Rs. Q (>P) at y% pe

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 Multiple Choice QuestionsMultiple Choice Questions

11.

A took two loans together of ₹ 1200 from B and C. B claimed 14% simple interest per annum, while C claimed 15% per annum. The total interest paid by A in one year was ₹ 172. Then, A borrowed 

  • ₹ 800 from C

  • ₹ 625 from C

  • ₹ 400 from B

  • ₹ 400 from B

222 Views

12.

A person has left an amount of ₹ 1,20,000 to be divided between his two sons aged 14 years and 12 years such that they get equal amounts when each attains 18 years of age. If the amount gets a simple interest of 5% per annum, the younger son's share at present is

  • ₹ 48,800

  • ₹ 57,600

  • ₹ 62,400

  • ₹ 62,400

631 Views

13.

Arun lends Rs 20,000 of two of his friends. He gives Rs 12,000 to the first at 8% p.a. simple interest. Arun 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

  • 8%

  • 16%

  • 12%

  • 12%

294 Views

14.

Sita deposited ₹ 5,000 at 10% simple interest for 2 years. How much more money will Sita have in her account at the end of two years. If it is compounded semi-annually.

  • ₹ 50

  • ₹ 40

  • ₹ 77.50

  • ₹ 77.50

547 Views

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15.

A man invested 1 third of his capital at 7%, 1 fourth at 8% and the remaining at 10% rate of simple interest. If his annual income from interests is Rs. 561, the capital invested was

  • Rs. 6000

  • Rs. 5600

  • Rs. 6600

  • Rs. 6600

509 Views

16.

A sum of Rs. 7,930 is divided into three parts and given on loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then A received a loan of

  • Rs. 3,050

  • Rs. 2,760

  • Rs. 2,750

  • Rs. 2,750

1243 Views

17.

The simple interest on a sum of money is 8 over 25 of the sum. If the number of years is numerically half the rate percent per annum, then the rate percent per annum is

  • 5

  • 8

  • 6 1 fourth
  • 6 1 fourth
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18.

If A borrowed Rs. P at x% and B borrowed Rs. Q (>P) at y% per annum at simple interest at the same time, then the amount of their debts will be equal after

  • 100 space open parentheses fraction numerator straight Q minus straight P over denominator Px minus Qy end fraction close parentheses space years
  • 100 open parentheses fraction numerator Px minus Qy over denominator straight Q minus straight P end fraction close parentheses space years
  • 100 open parentheses fraction numerator Px minus Qy over denominator straight P minus straight Q end fraction close parentheses space years
  • 100 open parentheses fraction numerator Px minus Qy over denominator straight P minus straight Q end fraction close parentheses space years


A.

100 space open parentheses fraction numerator straight Q minus straight P over denominator Px minus Qy end fraction close parentheses space years

Let the amount be equal in T years.
Case I,
Amount of debt meet by A
   straight S. straight I. space equals space PRT over 100
straight P space plus space fraction numerator straight P space cross times space straight x space cross times space straight T over denominator 100 end fraction                  ...(i)
Amount of debt meet by B
straight Q space plus space fraction numerator straight Q space cross times space straight y space cross times straight T over denominator 100 end fraction      
            ...(ii)
According to the question
(i) = (ii)
straight P space plus space fraction numerator straight P space cross times space straight x space cross times space straight T over denominator 100 end fraction space equals space straight Q space plus space fraction numerator straight Q space cross times space straight y space cross times space straight T over denominator 100 end fraction
rightwards double arrow space space space fraction numerator straight P space straight x space straight T over denominator 100 end fraction space minus fraction numerator straight Q space straight y space straight T over denominator 100 end fraction space equals space straight Q space minus space straight P
rightwards double arrow space space straight T open parentheses fraction numerator Px minus Qy over denominator 100 end fraction close parentheses space equals space straight Q space minus space straight P
rightwards double arrow space space straight T space equals space 100 open parentheses fraction numerator straight Q minus straight P over denominator Px minus Qy end fraction close parentheses


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19.

If a sum of money becomes Rs. 4000 in 2 years and Rs. 5500 in 4 years 6 months at the same rate of simple interest per annum, then the rate of simple interest is

  • 21 3 over 7 percent sign
  • 21 2 over 7 percent sign
  • 21 1 over 7 percent sign
  • 21 1 over 7 percent sign
1032 Views

20.

The rate of simple interest for which ₹ 6,000/- will amount to ₹ 6,900/- in 3 years is

  • 5%

  • 7%

  • 2%

  • 2%

85 Views

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