If sinA+cosA=\(\sqrt{3}\), then find the value of tanA+cotA+2sinAcosA
Successive discounts of 10% and 20% are given on the purchase of a purse. If the marked price of the purse is ₹2,250, find the selling price.
The cost of a diamond varies directly as the square of its weight. Once, this diamond broke into four pieces with weights in the ratio of 4 : 3 : 2 : 1. When the pieces were sold, the merchant got ₹63,000 less than that of one piece. Find the original price of the diamond.
The value of \(4\frac{1}{6} \div 25 \times 75 \div \frac{1}{5} \text{ of } 125\) is:
\(\frac{1}{3}\)
\(\frac{1}{4}\)
\(\frac{1}{6}\)
\(\frac{1}{2}\)
Pipe X can fill a tank in 9 hours and Pipe Y can fill it in 21 hours. If they are opened on alternate hours and Pipe X is opened first, in how many hours shall the tank be full?
\(10\frac{3}{7}\)
\(12\frac{3}{7}\)
\(9\frac{3}{7}\)
\(11\frac{3}{7}\)
Aman invested a sum of money in scheme A at the rate of 8% p.a. for a period of 5 years on simple interest. He invested four times of the sum of scheme A in scheme B at the rate of 5% p.a. for 7 years on simple interest. He received a total interest amount of ₹1,620. How much (in ₹) did he invest in scheme B?