If $$ {a={1+x\over 2-x}}$$, then find the value $$ {1\over {a+1}}+{2a+1\over{a^{2}-1}}$$ ?

In △ABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE: BC=6:7. (Area of △ ADE): (Area of trapezium BCED) = ?

It is given that ∆ABC ≅ ∆PQR, AB = 5 cm, ∠B = 40°, and ∠A = 80°. Which of the following options is true?

If three persons A, B and C invested in a business in the ratio 10 : 15 : 8 for 8 months, 6 months and 12 months respectively. If the total profit earned at the end of the year is Rs.2660 find the Share of B (in Rs.) in the total profit-

Successive discounts of 10% and 30% are equivalent to a single discount of : 

Find the solution of 5x-7=12? 

A, B and C invested capital in the ratio 5: 7: 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45: 42: 28, then x : y : z = ?

In what time will ₹ 72 become ₹ 81 at $$6{1\over4}$$ % per annum simple interest?