Now we can see that whatever the value of ‘a’, 225a + 45 will always give an integral value.
So, it now depends upon 10/a only
=> a can have any integral value, which is a factor of 10.
The integers, which will satisfy this condition are ±1, ±2, ±5, ±10. Thus, in total,a can take 8 values.
Aflatoon, on his death bed, keeps half his property for this wife and divides the rest equally among his three sons : Ved, Charl and Dev. Some years later, Ved dies leaving half his property to his widow and half to his brothers Charl and Dev together, sharing equally. When Charl makes his will, he keeps half his property for his widow and the rest he bequeaths to his younger brother Dev. When Dev dies some years later, he keeps half his property for his widow and the remaining for his mother. The mother now has Rs. 1,827,000.What was the worth of the total property?
A battery dealer incurs an expense of Rs. 150 for producing every battery. He also incurs an additional expenditure of Rs. 30,000, which is independent of the number of batteries produced. If he is able to sell a battery during the season, he sells it for Rs. 250. If he fails to do so, he has to sell each battery for Rs. 100.If he produces 1500 batteries, what is the number of batteries that he must sell during the season in order to break-even, given that he is able to sell all the batteries produced?
A stockist wants to make some profit by selling rice. He contemplates about various methods. Which of the following would maximize his profit?
1. Sell rice at 10% profit.
2. Use 900 g of weight instead of 1 kg.
3. Mix 10% impurities in rice and selling rice at cost price.
4. Increase the price by 5% and reduce weights by 5%.
OPtion
1) 1
2) 2
3) 3
4) 4
5) 1 or 2
6) 2 or 3
7) 1 or 3
8) 1 or 4
9) 2 or 4
10) None of these
Solution
We will solve this question by taking all the cases one by one.
In the first case it is given that the profit is 10%.
For second case, let the CP of 1 kg of rice be Rs. 100
Then CP of 900 g of rice= (100/1000 )x 900 = Rs. 90
Hence, profit % in Case II= [{(100-90)/90}x100] = 11.11%
For case III, If he adds 10% impurity then his CP for 1 kg
= {(100/1100) x 100} = Rs. 90.90
Hence, profit % in Case III = [{(100-90.90)/90.90} x 100] = 10.01%
and in the last case, If he reduces weight by 5%
Then cost price of 950 g = {(100/1000) x 950} = Rs. 95 and SP = Rs. 105
Hence, profit % in Case IV = {(105 – 95 )/95} X 100 = 10.52%
Ms. Shakuntla asked his students to find the sum of all pages of their maths book. Pappu gave the answer as 1098. Ms. Shakuntla told him that he has not added one page.
Find the page number which the Pappu forgot to add?