In case of a particular transaction, the profit earned is \(14\tfrac{2}{7}\%\). What fraction is the cost price of the selling price?
\(\tfrac{1}{7}\)
\(\tfrac{8}{7}\)
\(\tfrac{7}{8}\)
\(\tfrac{1}{8}\)
A man had to travel 49 km, which he divided into six stretches which were exact multiples of either 4 km or 5 km. The first four stretches were 4 km, 5 km, 8 km and 10 km. Multiples of 4 km and 5 km were travelled at the rates of 40 and 60 km/h, respectively, and between two consecutive stretches, he rested for six minutes. What was his average speed (in km/h) for the whole journey?
\(31\tfrac{7}{11}\)
\(32\tfrac{4}{13}\)
\(33\tfrac{3}{8}\)
\(34\tfrac{4}{15}\)
Three circles, each having radius equal to 4 cm, are drawn with the vertices of an equilateral triangle as the centres. If the length of each side of the triangle is equal to 8 cm, then what is the area (in cm²) of the portion of the triangle that is NOT covered by the sectors of the circles?
\(16(2\sqrt{3}-\pi)\)
\(8(2\sqrt{3}-\pi)\)
\(8\left(2\sqrt{3}-\tfrac{\pi}{2}\right)\)
\(16\left(2\sqrt{3}-\tfrac{\pi}{2}\right)\)
A man takes a loan of ₹6,000 from his friend on 1st January 2019 with the condition that he will repay with accrued simple interest at the rate 6.25%, as and when the interest touches ₹75. On which date does the loan period expire?