A and B enter into a partnership with capital in the ratio 5: 6. After 4 months, A withdraws $$1\over 5$$of his capital, while B increases his capital by $$33{1\over 3}\%$$. What is the share (in ₹ lakhs) of B in the annual profit of ₹6.3 lakhs?

Simplified form of $$ [(^5\sqrt{x^{-3\over 5}}\ )^{-5\over3}]^{-5}$$

In a circle with centre O, BC is a chord. Points D and A are on the circle, on the opposite side of BC, such that ∠DBC = 28° and BD = DC. What is the measure of ∠BOC?

A and B are solutions of acid and water. The ratio of water and acid in A and B are 4 : 5 and 1 : 2, respectively. If x literes of A is mixed with y litres of B, then the ratio of water and acid in the mixture becomes 8 : 13. What is x : y ?

In what ratio should wheat of ₹ 14-40 per kg be mixed with wheat of ₹ 11-40 per kg so that the price of the mixture becomes ₹ 12-60 per kg

Answer the following questions

The total income of Ramesh, Suresh and Dinesh is Rs. 17325. Ramesh spend 70%, Suresh spend 75% and Dinesh spend 80% of their income. The ratio of their saving is 6 : 8 : 5. What is the income of Dinesh?

what is the value of the expression
 cos 2A cos2B+sin²(A-B)-sin²(A+B)?

If the compound interest rate is 20%  per year, compounded half-yearly, then what will be the interest of two years on the principal of 1,00,000?