Question
The sum to n terms of the series 1 + 1 + 3 + 1 + 3 + 5 +
1 + 3 + 5 + 7 …………………… isSolution
1 + (1 + 3) + (1 + 3 + 5) +..... = this will be something like : 1 + 4 + 9 + 16 + 25 + 36.... .... (ie. the sum of squares of natural numbers)
and the sum of squares of n terms can be given by : n(n+1)(2n+1)/6
Anuj and Bhuvan started a business by investing Rs. 4500 and Rs. 4800, respectively. After 6 months, Bhuvan withdrew Rs. 600, and...
A and B invested Rs. 7200 and Rs. 9600, respectively, in a business. B invested his money for 2 months longer than A. If A's share of the total profit ...
A, B and C invested in partnership. A invest Rs.5000 for 4 months, B invests Rs.2000 for 2 months and C invests Rs.8000 for 2 months. C is working partn...
‘A’ and ‘B’ invested Rs. 5000 and Rs. 4200, respectively in a business, together. After 6 months, ‘A’ withdrew 35% of his initial investment...
A, B and C invested in a business in the ratio 6:8:9. If B invested for a period whose numerical value is 112.5% of B’s investment but A and C inv...
‘Neha’ invested Rs. 3000 in a business. ‘Ravi’ joined ‘x’ months after ‘Neha’ with an investment of Rs. 2500. If at the end of the year,...
P started a business with an investment of Rs.15000, after 6 months Q joined him with Rs.18000 and after another 6 months R joined them with Rs.20000. I...
A and S commenced a business with capitals of Rs. 15,000 and Rs. 13,500, respectively. After 9 months, they withdrew one third of their capital. Determi...
Atul and Brijesh started a business by investing Rs 16,000 and Rs 20,000 respectively. At the end of 4th month of the business, Chetan joins ...
'A' and 'C' started a business by investing Rs. 11,000 and Rs. 13,000, respectively. Seven months later, they invited 'B' to join the business who inves...
Relevant for Exams:
