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A certain loan was returned in two equal half-yearly installments each of ₹6,760. If the interest rate was 8% p.a., compounded annually, how much was the interest paid on the loan?
Ram and Shyam can complete a task in \(6{ 2\over 3}\)days and 15 days, respectively. They work together for 4 days, and then Ram leaves. In how many days after Ram leaves, will Shyam complete the remaining task alone?
From a point P on the ground, the angle of elevation of the top of a 10m tall building is 30°. A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45°. Find the length of the flagstaff (Take √3 = 1.732)
Shyam drives his car 30 km at a speed of 45 km/h and, for the next 1 h 20 m, he drives it at a speed of 51 km/h. Find his average speed (in km/h) for the entire journey.