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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.

Here P = Rs 10800,    T = 3 years,      R = $12 1 half % space straight p. straight a.$

We have:
            $straight A equals straight P open square brackets 1 plus straight R over 100 close square brackets to the power of straight n space equals space Rs space 10800 open square brackets 1 plus fraction numerator 12 begin display style 1 half end style over denominator 100 end fraction close square brackets cubed$

                              [∵ Interest compounded annually,     ∴ n =3]

                = $Rs space 10800 open square brackets 225 over 100 close square brackets cubed$

                = Rs $10800 cross times 225 over 100 cross times 225 over 100 cross times 225 over 100$

                = $Rs fraction numerator 675 cross times 9 cross times 9 cross times 9 over denominator 4 cross times 8 end fraction space equals space Rs space 492075 over 32$

    ∴         Amount = Rs 15377.34

    Now, compound interest = Rs 15377.34 - Rs 10800

                                    = Rs 4577.34

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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.

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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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