Question
If the sum of two numbers is 3 and sum of their squares
is 12, then their product is equal toSolution
(a and b are two numbers) ATQ- a+b =3... (1) a² + b² = 12... (2) On squaring equation (i) a2+ b² + 2ab = 9 12+2ab=9 2ab = -3 ab = -3/2
P started a business investing Rs.9000. After 3 months, Q joined her with the capital of Rs.12000. After another 6 months, R joined them with the capita...
A, B and C invested in partnership. A invest Rs.12000 for 5 months, B invests Rs.8000 for 3 months and C invests Rs.15000 for 2 months. C is working par...
Ramesh and Suresh started a business by investing in the ratio 3 : 5, respectively. After 10 months, Ramesh withdrew 1/3rd of his investment, whereas Su...
A starts business with Rs.8000 and after 6 months, B joins with A as his partner. After a year, the profit divided in the 4:5. What is B’s contributi...
A and B started a business. After 2 years they got Rs.1425 as profit. Find the ratio of the investments of A and B, if A’s share is Rs.525.
A and B invested Rs. 1000 and Rs. 2000 respectively. After 3 months, C joined with Rs. 3000. If A’s share in the profit is Rs. 600, find the total pro...
'A', 'B' and 'C' started a business such that the sum invested by 'B' is (1/5)th of the total sum invested by all of them together and equals (3/4)th o...
P and Q started a business by investing Rs. 14,000 and Rs. 21,000 respectively. p also worked as the active manager and for that he is entitled to recei...
P and Q invested Rs. 1500 and Rs. 2500 in a business. After 8 months, Q left and R joined with Rs. 2000. If P’s share in the profit is Rs. 900, find t...
A started a business with an investment of Rs 32,000. After 2 months B joins in with 5/8 of the amount that A invested and A withdraws Rs 4,000. After 2...