If the product of two successive positive integers is 7482.
If the product of two successive positive integers is 7482. Which is the greater integer?
If the product of two successive positive integers is 7482. Which is the greater integer?
Nithin K ? Dec 4 '2016 at 10:14
Answer : 87
Explanation:
Given that \(x(x+1)=7482\)
\(x^2+x=7482\)
\(x^2+x-7482=0 \)
Solve by quadratic equation\((x-87)(x+86)=0\)
\(\therefore x=87 \text{ or } x=-86\)
\(\because \text{ the integers are positive the negative option is disregarded. So the answer is 87.}\)
A plot of 575 sq.ft is available at the rate of Rs.5500 per sq.ft. If 25% of the total cost of the plot is to be paid for booking the plot. How much is the booking amount?
Nithin K ? Dec 4 '2016 at 9:53
Answer: Rs.790625
Explanation:
\(\text{Total cost of plot = Rs. 575} \times\text{ 5500 } = 3162500\)
\(\text{Booking amount =} \frac{3162500\times 25}{100}=258750\)
\(=Rs. 790625\)
At simple interest a sum of Rs.64 becomes Rs.83.20 in 2 yr. What will Rs.86 become in 4 yr at the same rate of interest?
Nithin K ? Dec 3 '2016 at 19:47
Answer : Rs.137.60
Explanation:
Formula: \(S.I. = \frac{P \times T \times R}{100}\)
P=Rs. 64,
S.I. = Rs. (83.20 - 64) = Rs. 19.20,
T = 2 years.
So, rate R = \(\frac{SI \times 100}{P \times T}\)=\(\frac{ (100 \times 19.20 ) \% }{64 \times 2} = 15\% \)
Now, P = Rs.86, R= 15%, T = 4 years.
S.I. = \(\frac{Rs ( 86 \times 15 \times 14 )}{100} = Rs. 51.60 \)
If a man travels 160 km by car at the speed of 64 km/h and another 160 km at the speed of 80 km/h, the average speed for the whole journey is
Nithin K ? Dec 3 '2016 at 19:26
Answer : 71.11
Explanation:
Formula:
\(Time = \frac{Distance}{speed} \)
\(\text{total time taken = (times taken for first 160km + times taken for next 160km)}\)
\(\text{total time taken }= \big(\frac{160}{64} + \frac{160}{80}\big)\)\(=\frac{9}{2}\text{ hours }\)
\(\text{Time taken for 320 Km = 320 }\times \text{29=71.11km/hr}\)
The length of a rectangle is decreased by 10% and its breadth is increased by 10%. By what percent is its area changed?
Nithin K ? Dec 2 '2016 at 23:57
Answer is : 1%
Explanation:
When there is an increase in sides of a figure, the net increase in its area is
\(= x+y+\frac{xy}{100} \%\)
where x and y are length and breadth
given, length x decreased by 10. so, x = -10.
breadth y increased by 10. so, y = 10.
percent is its area changed
\(= -10 + 10 + \frac{-10 \times10}{100}\% = -1 \%\)\(\therefore \text{ percent of area decresed by 1%}\)
Successive discounts of 10% and 20% are equivalent to a single discount of
Nithin K ? Dec 2 '2016 at 22:21
Answer is : 28%
Explanation:
Let marked price be 100.
apply 10% discount
\(\frac{10}{100}*100=10 \) ......(i)
apply 20% discount
\(\frac{20}{100}*90=18 \) .......(ii)Total discounts = (i) + (ii)
=10+18
=28
discount percentage=\(\frac{28}{100}*100\)=28%