Question
The ratio of the compound
interest earned on an amount of Rs. 'p' at an interest rate of 15% per annum for 2 years to the simple interest earned on Rs. (p - 3000) at an interest rate of 12% per annum for 3 years is given as 129:90. Calculate the total interest obtained from both the compound interest and simple interest combined.Solution
ATQ, From the question: [p × (1 + 15/100) 2  – p]/[{(p – 3000) × 12 × 3}/100] = 129/90 [129p/400]/[{(p – 3000) × 36}/100] = 129/90 p/[4 × (p – 3000) × 2] = 1/5 5p = 8p – 24000 p = 8000 Now, CI received on Rs.8000 at a 15% rate after 2 years: 8000 × (1 + 15/100) 2  – 8000 = Rs.2580 And, SI received on Rs.5000 at a 12% rate after 3 years: (5000 × 12 × 3)/100 = Rs.1800 Required sum = 2580 + 1800 = Rs.4380
142, 148, 160, 178, ?, 232
What will come in place of (?) Question mark in the given number series.
10, 15, 30, 75, 225, 787.5, ?
(102 × 24)/8 = ?
What will come in place of the question mark (?) in the following series?
132, 101, 130, ?, 126, 109
- What will come in place of (?) in the given number series.
729, 243, 81, 27, ?, 3 What will come in place of the question mark (?) in the following series?
45, 68, 114, 183, 275, ?
24, 42, 60, ?, 96, 114
4, 12, 36, 108, ?, 396
What will come in place of the question mark (?) in the following series?
112, 123, 144, 169, 190, ?
945, 1890, ?, 504, 144, 32
