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For statement first – X =12, y=-2 and z= -10 x+ y+ z =12 -2-10=0 x +y + z=0 so. x³ + y³+ z³ = 3xyz = 3 ×12 × -2× -10 = 720 For statement second – x + y = 48, 4xy = 124 4x² +4y² = 4480 4(x² +y²) = 4480 4(x² +y²) = 4[ (x+ y) ²-2xy] =4[(48) ² -2×31] =4[2404-62] =4 ×2342=9368,
Bittu, Tittu and Mitthu invested Rs. 80000, Rs. 100000 and Rs. 120000 respectively to start a business . Partnership condition is that, each will get in...
A principal of Rs. 'x' is invested at an annual compound interest rate of 30%, compounded yearly, and grows to Rs. 2535 after 2 years. Calculate the sim...
A sum of ₹12,000 earns ₹1,920 as simple interest in 4 years. What will be the compound interest on the same sum in 2 years at the same rate of inter...
A sum of Rs.10 is lent by a child to his friend to be returned in 11 monthly instalments of Rs.1 each, the interest being simple. The rate of interest is:
An initial principal sum of Rs. 8000, invested by Pranav, accrued interest at a compound rate of 20% annually for a period of 2 years. Subsequently, the...
Atul has Rs.400 with him. He invested 40% of the amount at 4% p.a. for 5 years and rest at 15% p.a. for 3 years. Find the sum of simple interests receiv...
Simple interest earned on an amount of Rs. 2000 at rate of R% per annum after 4 years is Rs. 288. Find the simple interest earned on an amount of Rs. 15...
Anil borrowed Rs.20000 on CI at the rate of 10% for three years. He paid at the end of first year (1/8)th of amount and end of second year (1/5)th of am...
P and Q invested certain amount of money in two SIP's A and B. SIP A offers simple interest at rate of 12.5% for 4 years and SIP B offers compound inter...
The compound interest received on investing Rs. 4500 for 2 years at compound interest of 20% p.a compounded annually is how much percentage more than th...
