For the following questions answer them individually
A student purchased a box of pencils at the rate of ₹35 for 10 pencils and sold all of them at the rate of ₹54 for 9 pencils. In this transaction, he gained ₹350. How many pencils did the box contain?
The value of $$\left(5 \div 8\right)$$ of $$\left(4 \div 5\right)$$ of $$25\left(15^{2} - 13^{2}\right)$$ is:
Reeta purchased an ornament of gold, weighing 15 grams, for ₹71820, which included GST and making charges of 12%. The original price of gold per gram (in ₹) is:
The compound interest on a certain sum for 16 months at 12% p.a. is ₹3494.40, interest being compounded 8-monthly. What will be the compound interest (in ₹) of the same sum at the same rate for 2 years, when the interest is compounded yearly?
Person A takes 28 hours to complete a work. Person B completes the same work in one-fourth of the time taken by A. If the two persons work together: in how much time will the work be completed?
The area of the base of a right circular cone is 7546 $$cm^{2}$$ and its height is 15 cm. The volume of the cone in $$cm^{3}$$ is (Use $$\pi = \frac{22}{7}$$):
P takes six hours more than Q to walk 96 km, but if P doubles his speed, then he can make it in two hours less than Q. How much the (in hours) does Q require for walking 48 km?
The simple interest on a certain amount is $$\frac{4}{25}$$ of the principal. If the numbers representing the rate of interest in per cent and time in years are equal, then find the time for which the principal is lent out.
A person invested ₹20,000 at a rate of 4.5% on simple interest for three years. Had the person invested ₹16,000 on compound interest at a rate of 5% for 2 years, the difference in the interests would have been: