Question
A woman invested a certain amount in scheme 'A' at
simple interest of 18% p.a. for 4 years. She then reinvested the total amount received in scheme 'B' which offered compound interest at 20% p.a. for 2 years. If she earned an interest of Rs. 23,040 from scheme 'B', find the amount she initially invested in scheme 'A'.Solution
ATQ,
Let the amount invested in scheme 'A' be Rs. p According to question; Simple interest from scheme 'A' = (p × 18 × 4) / 100 = (72p / 100) = (18p / 25) Total amount received = p + (18p / 25) = (43p / 25) ATQ; (43p / 25) × [ (1 + 20/100)² - 1 ] = 23040 ⇒ (43p / 25) × (44/100) = 23040 ⇒ 0.7568p = 23040 ⇒ p = 30440
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