=> x3 + y3 + z3 – 3xyz = (x+y+z) (x+y+z)2 – 3(xy +yz + zx) => 36 – 18 = 6 (36 – 3(xy +yz + zx)) => 3 = 36 – 3(xy +yz + zx) => xy +yz + zx = 11
X and Y initiated a partnership, with investments of Rs. 5000 and Rs. 6000 respectively. Six months into the partnership, Z joined by contributing Rs. 4...
Ashish started a business by investing Rs. 7,00. Few months later; Ramesh joined him by investing Rs. 8,00 such that at the end of the year, the profit ...
Rajiv, Sanju and Tanu started a business with the investment of Rs. (z-400), (z-1000) and (z+200) respectively. After four months, Rajiv decreased his i...
Amit and Sumit together start a business with investment of Rs. 1700 and Rs. ‘x + 1200’, respectively. If the profit earned after 5 years is...
A and B together start a business with investment of Rs. 1600 and Rs. (x + 600), respectively. If the profit earned after 5 years is Rs. 6000 and share ...
Mayank and Manoj started a business with investing capital in the ratio of 8:15. After 4 months, Mayank reduced his (1 )/(4 ) portion of the capital and...
P and Q together started a business with initial investment in the ratio of 1:9, respectively. The time-period of investment for P and Q is in the ratio...
Together, "Arjun" and "Vicky" invested Rs. 12,000 and Rs. 8,000 in a firm. After eight months, "Vicky" added Rs. 2000 to his initial investment, whereas...
P started a business investing Rs.9000. After 3 months, Q joined her with the capital of Rs.16000. After another 6 months, R joined them with the capita...
A and B invested Rs.6000 and Rs.9000 in a business respectively and after 5 months B withdrawn 50% of his initial investment and again after 5 months he...
