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If 'A' is 7 times as efficient as 'B', 'B' takes 32 days to complete the task, then find the number of days required to finish the whole work by 'A' and 'B' working together.
If \({5cot\theta+\sqrt3cosec\theta\over 2\sqrt3coesec\theta+3 cot\theta}=1\), \(0^0<\theta<90^0\), then the value of \(\frac{\frac{7}{2} \cot^2 \theta- \frac{3}{4} \:cosec^2 \theta}{4 \sin^2 \theta+\frac{3}{2} \tan^2 \theta}\) will be:
Three successive discounts of 40%, 25% and 20%, respectively, on the marked price of a chair, are equal to a single discount of Rs.960. The marked price (in Rs) of the chair is:
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?