The simple interest accrued on a sum at the rate of 10% p.a. for two years is Rs. 5,000.

Quantity I – What will be the compound interest on the same amount at the same rate for 2 years?

Quantity II – What will be the compound interest on the same amount at 8% p.a. for 3 years?

Sum = (5000 × 100)/(10 × 2) = Rs. 25,000 Quantity I: CI = 25,000(1 + 10/100)² - 25,000 ⇒ 25,000 × 110/100× 110/100 – 25,000 ⇒ 30,250 – 25,000 = Rs. 5,250 Quantity II: CI = 25,000(1 + 8/100)³ - 25,000 ⇒ 25,000 × 108/100× 108/100 × 108/100 - 25,000 ⇒ 31,492.8 – 25,000 = Rs. 6,492.8 ∴ Quantity I < Quantity II.

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The ages of A, B and C are in the ratio of 4:3:6 respectively. If the sum of their ages is 65 years, then find the age of B.

P and Q together have Rs 2,420. If 8/15 of P’s amount is equal to 4/5 of Q’s amount, how much amount does Q have?

The ages of A, B and C are in the ratio of 5:3:7 respectively. If the sum of their ages is 60 years, then find the age of B.

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