For the following questions answer them individually
The LCM and HCF of two numbers are 3564 and 81, respectively. If the numbers are 324 and $$x$$, then what is the sum of the digits of $$x$$?
A trader bas 80 kg rice, a part of which he sells at 15% profit and the rest at 5% loss. He gains 12% on the whole. What
is the quantity of rice (in kg) sold at 15% profit?
The curved surface area of a cone is $$25\sqrt{2}$$ $$\pi$$ cm^{2} . If the height of the cone is equal to the radius of its base, then what is the volume (in $$cm^{3}$$ ) of the cone? (Use \pi = $$\frac{22}{7}$$) correct to two decimal places.
A person borrows a sum of ₹50,000 for 3 years at 4% p.a. simple interest. He immediately lends it to another person at
$$6\farc{1}{4}\%$$ p.a. simple interest for 3 years. Find his gain in the transaction per year.
The average age of the boys particicipating in a camp is 16 years and that of the girls is 13 years. If the ratio of the
number of boys and girls participating in the camp is 2 : 3, then what is the average age (in years) of all the participants?
A sum of ₹159250 is divided among A, B, C, and D such that the ratio of the shares of A and B is 1 : 3. that of B and C
is 2: 5. and that of C and D is 2 : 3. The share (in ₹) of A is:
A sport store offers 19% discount on its articles and it offers a further discount of 2% on the reduced price to those
customers who pay by online wallet. If a customer purchase sports items worth ₹18000 and pays through an online wallet then the amount (in ₹) to be paid by the customer is:
If the loss incurred in a transaction is $$\frac{3}{4}$$ of the selling price, then the loss percentage will be closest to:
Radha who is half as efficient as Kirti, will take 30 days to complete a task if she works alone. If Radha and Kirti work
together, how long will they take to complete the task?
A certain sum amounts to ₹7485 after 3 years and to ₹9960 after 8 years at the same rate per cent per annum at simple
interest. On simpple interest, what will be the amount (in ₹) of the same sum after 7 years at double the earlier rate of interest?
