1.

Quantity B∶ Number of months after which B made his 3rd investment if B invests Rs. 1500 at beginning of every quarter and finally he invests Rs. 500 after 11 months1). Quantity A > Quantity B2). Quantity A < Quantity B3). Quantity A = Quantity B or no relation4). Quantity A ≤ Quantity B

Answer»

As both receives EQUAL profits in the year. It means that their capital RATIO is 1 ? 1

Let A’s 3rd INVESTMENT is used for x months

Capital of A?

(1000 × 12) + (1500 × 9) + (2000 × x) + (4 × 2500)

⇒ 12000 + 13500 + 2000x + 10000

⇒ 35500 + 2000x

Capital of B?

(1500 × 12) + (1500 × 9) + (1500 × 6) + (1500 × 3) + (500 × 1)

⇒ 18000 + 13500 + 9000 + 4500 + 500

⇒ Rs. 45500

According to the question,

35500 + 2000x = 45500

⇒ 2000x = 45500 – 35500

⇒ 2000x = 10000

⇒ x = 10000/2000

⇒ x = 5

3rd investment of A is being used for 5 months

It means that A has made his 3rd investment after 7 months i.e. 12 – 5

B has made his 3rd investment at the beginning of 3rd quarter i.e. after 6 months

∴ Quantity I is more than Quantity II


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