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Comparing Quantities

Short Answer Type

131.

Find the amount to be paid at the end of 2 years on Rs 2,400 at 5% per annum compounded annually.

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132.

Find the amount to be paid at the end of 1 year on Rs 1,800 at 8% per annum compounded quarterly.

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133.

A machinery worth Rs 10,500 depreciated by 5%. Find its value after one year.

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134.

Find the population of a city after 2 years, which is at present 12 lakh, if the rate of increase is 4%.

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135.

Calculate the amount and compound interest on Rs 10,800 for 3 years at 12¹/₂ % per annum compounded annually.

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136.
Calculate the amount and compound interest on Rs 18,000 for 2¹/₂ years at 10% per annum compounded annually.

Here P = Rs 18000, T = $2 1 half space space years$ , R = 10% p.a.

∵   Interest is compounded annually.

           n = 2 + $1 half$

∴      $straight A equals straight P open square brackets 1 plus straight R over 100 close square brackets to the power of straight n$

         = $space space straight P open square brackets 1 plus 10 over 100 close square brackets squared cross times open square brackets 1 plus fraction numerator begin display style 1 half left parenthesis 10 right parenthesis end style over denominator 100 end fraction close square brackets to the power of 1$

         = Rs 18000 $open square brackets 11 over 10 close square brackets squared cross times open parentheses 21 over 20 close parentheses to the power of 1$

         = Rs 18000 $cross times 11 over 10 cross times 11 over 10 cross times 21 over 20 equals Rs space 9 space cross times space 11 space cross times space 11 space cross times space 21$

         = Rs 22869

∴ Amount = Rs 22869

CI = Rs 22869 - Rs 18000 = Rs 4869

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137.

Calculate the amount and compound interest on Rs 62,500 for 1¹/₂ years at 8% per annum compounded half yearly

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138.

Calculate the amount and compound interest on Rs 8,000 for 1 year at 9% per annum compounded half yearly.

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139.

Calculate the amount and compound interest on Rs 10,000 for 1 year at 8% per annum compounded half yearly.

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Long Answer Type

140.

Kamala borrowed Rs 26,400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan?

(Hint: Find A for 2 years with interest is compounded yearly and then find SI an the 2nd year for ⁴/₁₂ tears.)

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