For the following questions answer them individually
The simple interest on a certain sum at 6.4% p.a. for $$3\frac{3}{4}$$ years is ₹1,896. What will be the amount (in ₹) of the same sum at the same rate in $$6\frac{1}{4}$$ years?
The average of 19 numbers is 58. The average of the first 12 numbers is 63.6 and the average of the last 8 numbers is 55.1. If the $$12^{th}$$ number from the beginning is excluded, then what is the average of the remaining numbers?
What is the volume of the largest right circular cone that can be cut out of a cube of edge 12 cm (correct to two decimal places)?
If an alloy is to contain copper and zinc in the ratio of 5 : 4, how much quantity of copper is required to be melted with 20 kg of zinc?
The price of jeans was slashed from ₹1,250 to ₹1,150 by a shopkeeper. What is the discount percentage allowed by the shopkeeper?
Mr. Jugal Kishore invested a certain sum at simple interest for 4 years such that $$\frac{3}{7}$$ of the sum was invested at 7% p.a $$\frac{2}{5}$$ of the sum at 9% p.a. and the remaining sum at 11% p.a. If the total interest received is ₹11,880, then the total sum invested is:
Ifa, band care positive numbers such that $$\left(a^{2} + b^{2}\right) : \left(b^{2} + c^{2}\right) : \left(c^{2} + a^{2}\right)$$ = 34: 61: 45, then a + b : b + c : c + a =
Shyamlal marks his goods at 35% above the cost price and allows a discount of 5%. What is his percentage gain?
When the LCM of 34, 38, 85 and 95 is divided by the average of these numbers, the remainder is:
The speed of a bus increases by 4 km after every one hour. If the distance travelled in the first one hour was 55 km, then what was the total distance travelled in 13 hours?