If a commission of 20% is given on the written price, the gain is 60%.
If a commission of 20% is given on the written price, the gain is 60%. What will be the percentage of gain if the commission is increased to 25%?
If a commission of 20% is given on the written price, the gain is 60%. What will be the percentage of gain if the commission is increased to 25%?
Nithin K ? Apr 2 '2018 at 21:37
Answer is : 0.5
Explanation:
Let the written price = Rs.100
commission = Rs.20
selling price = 100-20 = Rs.80
gain = 60%cost price =\(\frac{80\times100}{160}\)= Rs.50
if the commission is increased to 25%,
selling price = 100-25 = Rs.75
new gain =\(\frac{(75−50)\times100}{50}\)=50%= 0.5
Anil sells two houses at the same prices. On one he makes a profit of 10% and on the other he suffers a loss of 10%. Select the correct statement.
Nithin K ? Apr 2 '2018 at 21:5
Answer is : He suffers a loss of 1%
Explanation:
In this type of transaction, there is always a loss
Loss percent =\(\Big (\frac{x^2}{100}\Big)\) =\( \Big[\frac{(10×10) }{ 100}\Big]\)= 1%
In an examination, 65% of the total examinees passed. If the number of failures is 420. The total number of examinees are
Nithin K ? Apr 2 '2018 at 20:15
Answer is 1200
Explanation:
Percentage of failures = (100 − 65)% = 35%
Let the total number of examinees be x.
Then,
\(35\text{% of x} =420 \implies \frac{35}{100} \times x = 420\)
\(\implies x = \Big[420 \times \frac{100}{35}\Big] =1200\)
A can do a piece of work in 18 days. B in 27 days and C in 36 days. They start working together but only C works till the completion. A leaves 7 days and B leaves 8 days before the completion of work. The whole work was completed in
prashanth ? Dec 7 '2018 at 12:11
Answer is: [C] 14 days
Explanation:
A can do a piece of work in 18 days,--------A's rate is 1/18 job/day
----------------------
B in 27 days -------------------------------B's rate is 1/27 job/day
C in 36 days.-------------------------------C's rate is 1/36 job/day
------------------------------------------------------------------------All of them began together but A left 7 days and B left 8 days before the completion of the work. How many days in all did C put in till the entire work was finished?
--------------
Equation:
Let x be the number of days required to do the job:
(x-7)(1/18)+(x-8)(1/27)+x(1/36) = 1 job(2x-14+x)(1/36)+(x-8)(1/27) = 1 job
3(3x-14)+4(x-8)(1/108)=1 job
(9x-42+4x-32)/(108) = 1 job
(13x-74)= 108
13x = 182
x = 14
A man lends Rs.1200 for 3 years. Apart he lends on 4% and rest on 6% and receives Rs.192 as interest. The money he lent on 6% rate is
Nithin K ? Apr 1 '2018 at 23:51
Answer is :Rs.800
Explanation
If amount lend at 4% interest = x
and at 6% interest = 1200 -x
Given, \(\Big(\frac{x \times 3 \times 4}{100}\Big)+\Big(\frac{(1200-x)\times3\times6}{100}\Big)=192\)\(=>\frac{12x}{100}+\frac{21600}{100}-\frac{18x}{100 }= 192\)
\(=>\frac{12x+21600-18x}{100} = 192\)\(=> \frac{-6x+21600}{100}=192\)
\(=> 21600 -6x = 19200\)
\(=>6 x = 21600 -19200 \)
\(=> 6x = 2400\)
\(=> x = 400\)
\(\therefore \text{ the money lent on 6% rate is } = 1200 -x \)
= 1200 - 400
=800
A sum of money at simple interest doubles in 7 years. It will be come four times in
Nithin K ? Apr 1 '2018 at 23:24
Answer is : 21 years
Explanation:
let amount be x.
Case 1 : amount becomes 2x => simple interest = x
Case 2 : amount becomes 4x => simple interest = 3x
\(SI= \frac{P \times R \times T}{100}\)
i.e., SI ∝ T (when Rate of interest is constant)
x ∝ 7
3x ∝ n
\(\frac{x}{3x} = \frac{7}{n}\)\(=> \frac{1}{3}=\frac{7}{n}\)
\(=> n = 7 \times 3\)
n = 21 years
If MISTAKE is coded as 9765412 and NAKED is coded as 84123, how are the following words coded?
STAIN
Nithin K ? Mar 31 '2018 at 10:3
Answer is : 65478
Explanation:
The alphabets in the given words are coded as follows :
M I S T A K E N D 9 7 6 5 4 1 2 8 3 S is coded as 6,
T as 5,
A as 4,
I as 7 and
N as 8.
So, STAIN is coded as 65478.