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Perpetuity, Sinking Funds & Bonds · Question 26 of 63

Question 26

MediumOriginal question

A school needs ₹1,50,000 in 3 years for a new bus. It saves equal sums at the end of each year at 10%. To the nearest rupee, what is each deposit? (Take (1.1)3=1.331(1.1)^{3} = 1.331.)

Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. R=A i(1+i)n−1=1,50,000×0.10.331R = \frac{A\,i}{(1 + i)^{n} - 1} = \frac{1{,}50{,}000 \times 0.1}{0.331}.

  2. R≈45,317R \approx 45{,}317 rupees.

Worth noting

₹50,000 divides the target by 3, ignoring the interest earned.

Concept
The yearly deposit into a sinking fund
Typical time
90 s
Your time
—
The rule this testsSinking funds
Practise this chapter →

Ten questions from Perpetuity, Sinking Funds & Bonds, at your own pace.

Practise this chapter →

Ten questions from Perpetuity, Sinking Funds & Bonds, at your own pace.