If the angle of the elevation of sun is θ and the length of the shadow of a pole of length P is S, then 

A machine is marked at ₹ 6,800 and available at a discount of 10%. The shopkeeper gives another off-season discount to the buyer and sells the machine for ₹ 5,202.  Find the offseason discount. 

Ratio of the income of A and B is 8 : 5, while expenditures is in the ratio 5 : 3. If they have saved Rs. 12,000 and Rs. 10,000 monthly respectively, then the difference in their monthly incomes is: 

The selling price of the product was equal to 50% of its cost price. Two gradual discounts were offered on the product. If the first discount was 20%, then what was the second discount?

If a²+b²+c² = 2(a – b – c) – 3 then the value of 4a – 3b + 5c is 

AD is the median of a triangle ABC and O is the centroid such that AO = 10 cm. The length of OD (in cm) is 

1-[5-{2+(-5+6-2)2}] is equal to 

129 meter from the foot of a cliff on level of ground, the angle of elevation of the top of cliff is 30 °. The height of this cliff is