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
The mean purchase price of items 'X' and 'Y' is Rs. 600. Article 'X' is sold with a 20% profit, while article 'Y' is sold with a 30% profit. Calculate t...
The average weight of a group of 20 boys is 52 kg. If the total weight of a group of 14 girls is 30% less than the total weight o...
The average marks scored by 20 boys and 45 girls are 88 and 94 respectively. Find the average marks scored by all the students together. (Answer should ...
Average 20 numbers is ‘x’. If the average of first 12 numbers is 75.5 while average of last 5 numbers is 86.6 and 13th, 14th a...
The average of 75 percent of x and 48 percent of y is 90. What will be the average of 125 percent of x and 80 percent of y?
The average age of 6 employees in a company rises by 2 years when a new employee’s age is added. If the sum of the initial average age of the 6 employ...
Average of 8 numbers is 25. If average of first four and last two numbers is 15 and 40, respectively then find the fifth number given that ratio of fift...
The average weight of 4 persons is 40 kg. The heaviest person’s weight is 26 kg more than the lightest person’s weight. If the average weight of the...
The average age of 35 employees in an office is 28 years. If the age of the manager is included, the average age increases by 2 years. Find the age of t...
The average age of a class of 18 girls is 14 years. If 2 new girls having average age of 10 years join the class, then the average age of the class beco...