Question
Aman invested Rs. 'a' and Rs. (a + 2300) in SIP 'P' and
'Q', respectively, in a way that the amounts received from both SIPs after 2 years are equal. If SIP 'P' and 'Q' provide compound interest (compounded annually) at rates of 20% p.a. and 10% p.a., respectively, then determine the value of 'a'.Solution
We can say that, Amount received on investing Rs.‘a’ for 2 years at 20% interest p.a., compounded annually = a × (1 + 20/100)2 = Rs.{a × (6/5)2} Amount received on investing Rs. (a + 2300) for 2 years at 10% interest p.a., compounded annually = (a + 2300) × (1 + 10/100)2 = Rs. {(a + 2300) × (11/10)2} ATQ; a × (6/5)2 = (a + 2300) × (11/10)2 Or, (36a/25) = (a + 2300) × (121/100) Or, (36a/25) × (100/121) = a + 2300 Or, 144a = 121a + 287300 Or, 23a = 278300 Or, a = 12100
- What will come in place of (?), in the given number series.
1, 4, 9, 16, ?, 36 {(12√5 + 6√5 )} ×{(10√5 - 5√5 )} - 8² + 6² = ?
11          20          ?             64          112        192
...350 435 367 ? 384 401
...0, 6, 24, ?, 120, 210
21, 37, 73, 137, ?, 381
What will come in place of the question mark (?) in the following series?
4, 11, 32, 95, 284, 851, ?
18, 34, 70, 134, ?, 378
120, 136, 111, 147, ?, 162
What will come in place of the question mark (?) in the following number series?
124, 131, 117, ?, 110, 145
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