Numerical Ability

A and B invest Rs 8000 and Rs 12,000. A withdraws half his capital after 3 months. Find the profit ratio for the year.

A, B, C invest Rs 10,000, 15,000, 25,000. Total profit is Rs 6000. Find A's share.

A invests thrice as much as B; B invests two-thirds of C. Total profit is Rs 6600. Find C's share.

Two partners invest Rs 1200 and Rs 1600 for the same time; total profit is Rs 700. Find the larger investor's share.

A, B, C invest in ratio 3:4:5; after 6 months A withdraws (B, C stay the full year). Find the profit-share ratio.

X and Y invest Rs 5000 and Rs 4000. After 6 months X withdraws Rs 1000. Find the profit ratio at year-end.

A invests Rs 6000 for 8 months; B invests Rs 4000 for the whole year. Find the profit ratio.

A profit of Rs 4800 is divided between A and B in ratio 2:3. Find A's share.

A, B, C hire a pasture: A puts 10 cows for 7 months, B 12 cows for 5 months, C 15 cows for 3 months. Find the rent-share ratio.

A invests Rs 20,000 for 12 months; C's profit share equals A's, and C invested Rs 24,000. Find for how many months C invested.

Solve for x: 2x + 5 = 15.

Solve: 3x − 7 = 11.

If x+y=10 and x−y=4, find x and y.

Solve: 5(x−2) = 25.

If 2x+3y=13 and x+y=5, find x.

Factorize x²−9.

Solve x²−5x+6=0.

Solve x²−7x+12=0.

Find the sum of roots of x²−8x+15=0.

Find the product of roots of x²−8x+15=0.

If x=2 and y=3, find x²+y².

Simplify (a+b)² − (a−b)².

Expand (x+3)(x+5).

Expand (x−4)(x+4).

If a+b=7 and ab=12, find a²+b².