Question
Divide Rs. 53,285 into two parts such that the amount
received from first part after 12 years is equal to the amount received from second part after 8 years, if interest rate being 12*1/2% per annum compounded yearly.Solution
Let the first part be x and the second part be y The first part after 12 years = x ( 1 + 25/200 )¹² The second part after 8 years = y ( 1 + 25/200 )⁸ As given in the problem these two amounts are equal. So, y ( 1 + 25/200 )⁸ = x ( 1 + 25/200 )¹² Or y/x = (1 + 25/200 )⁴ Or y/x = 6561/4096 We have the x + y = Rs. 53, 285 Using the ratio formula, y = 6561/(6561 + 4096) × 53,285 = Rs. 32,805 x = 4096/(6561 + 4096) × 53,285 = Rs. 20,480
Two trains, 'P' and 'Q', are moving with speeds of 16 m/s and 24 m/s, respectively. The lengths of the trains are in the ratio 3:...
What approximate value will come in place of question (?) in the following given expression? You are not expected to calculate the exact value.
...15.03% of (619.87 × 7) + (√399.63 × 16.11) ÷ 5 = ?
What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)...
362, 452, 550, 656, 770, 892, ?
600.11 ÷ 14.98 x 5.14 – 171.9 = √?
3.55% of 8120 – 66.66% of 540 = ? – 28% of 5500
? = 49.83% of 39.72% of (45.011.99 – 4.98 2.04)
? + 157.99 – 101.01 = 25.01 × 5.98