Question
If a3Â + 3a2Â + 9a = 1, then what
is the value of a3Â + (3/a)?Solution
a3 + 3a2 + 9a = 1 a(a2 + 3a + 9) = 1 a2 + 3a + 9 = 1/a (a3 – b3) = (a − b)(a2 + ab + b2) for b=3 we have (a3 – 33) = (a – 3)(a2 +3a +9) (a3 − 27)=(a − 3)(1/a) a3 + (3/a) = 1 + 27 a3 + (3/a) = 28
The ratio of the C.P. and S.P. of an article is 16 : 17. What is the Gain percent?
A dealer sold two of his cattle for Rs. 500 each. On one of them he lost 10% on the other, he gained 10%. His gain or loss percent in the entire transa...
The sum of the MRP of articles A and B is Rs. 11500. Article B is marked 45% above its cost price and while selling ‘y’ % discount is given on it. T...
A shopkeeper sold an article after giving a discount of 20% and made a profit of Rs. 60. Find the marked price of the article if cost price of the artic...
A table is marked (z+5)% above its cost price and a discount of 35% was given on it while selling. If the cost price of the table is Rs. 1485 more than ...
A shopkeeper sold a school bag at a profit of 35%. Had he sold the school bag at 20% profit he would have earned Rs.135 less. Find the cost price of the...
A merchant sets the price of an article 60% above its cost price and offers a discount of 25% while selling it. If his profit on ...
Viru has Rs. 9000. He gives this money to Mahi on simple interest and after 4 years received the double amount. If the interest rate is 5% more than the...
The cost price of an article is Rs. 5500 and a shopkeeper wants to earn 16% profit on it after giving 20% discount on marked price. Find the marked pric...
- A manufacturer earns a profit of 32% by selling a machine for Rs. 396. If he plans to make a profit of 48% while offering a discount of 20%, what should be...