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Chapter: Financial Planning· Mathematics Part 1 (Algebra)

The annual investments of a family are shown in a pie diagram: Shares 60°, Mutual funds 90°, Bank fixed deposit 120°, Post 90°. The total annual investment is ₹ 72,000.[Figure: pie diagram with the four sectors and their central angles as given.](a)…

Q.25 The annual investments of a family are shown in a pie diagram: Shares 60°, Mutual funds 90°, Bank fixed deposit 120°, Post 90°. The total annual investment is ₹ 72,000.
[Figure: pie diagram with the four sectors and their central angles as given.]
(a) Find the investment in each scheme.
(b) How much more is invested in the bank fixed deposit than in shares?

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Best answer

Answer: (a) Shares ₹ 12,000; Mutual funds ₹ 18,000; Bank FD ₹ 24,000; Post ₹ 18,000 (b) ₹ 12,000

Amount = \(\dfrac{\text{central angle}}{360^\circ} \times \text{total}\)

Shares = \(\dfrac{60}{360} \times 72000\) = ₹ 12,000

Mutual funds = \(\dfrac{90}{360} \times 72000\) = ₹ 18,000

Bank FD = \(\dfrac{120}{360} \times 72000\) = ₹ 24,000

Post = \(\dfrac{90}{360} \times 72000\) = ₹ 18,000

Check: 12000 + 18000 + 24000 + 18000 = 72000.

(b) Difference = 24000 − 12000 = ₹ 12,000

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