If there is a couple and the income of husband is \(25 \ \%\) more than that of wife's income, then find how much percent of wife's income is less than that of husband's income?
\(25 \ \%\)
\(20 \ \%\)
\(15 \ \%\)
\(22 \ \%\)
Answer: (b) \(20 \ \%\)Solution: Given, \(n = 25 \ \%\), then wife's income is less than that of husband's income in percent, $$ = \left(\frac{n}{100 + n} \times 100 \right) \ \% $$ $$ = \left(\frac{25}{100 + 25} \times 100 \right) \ \% $$ $$ = \left(\frac{25}{125} \times 100 \right) \ \% $$ $$ = 20 \ \% $$
If the price of rice increases by \(10 \ \%\), then find how much percent of rice consumption be reduced so as not to increase the expenditure?
If the current price of a x-ray machine is \(500,000 \ Rs.\), increases \(2 \ \%\) and \(10 \ \%\) successively in two years, then find the price of x-ray machine after two years?
\(565,000 \ Rs.\)
\(560,000 \ Rs.\)
\(561,000 \ Rs.\)
\(568,000 \ Rs.\)
Answer: (c) \(561,000 \ Rs.\)Solution: Given, \(k = 500,000 \ Rs.\), \(x = 2\), \(y = 10\), then the price of the x-ray machine after two years, $$ k \left(1 + \frac{x}{100}\right) \left(1 + \frac{y}{100}\right)$$ $$ = 500,000 \ \left(1 + \frac{2}{100}\right) \left(1 + \frac{10}{100}\right)$$ $$ = 500,000 \times \frac{51}{50} \times \frac{11}{10} = 561,000 \ Rs. $$
If the weight of mohan is \(25 \ \%\) less than that of Rohan's weight, then find how much percent of Rohan's weight is more than that of Mohan's weight in percent?
\(35.50 \ \%\)
\(33.33 \ \%\)
\(31.33 \ \%\)
\(32.25 \ \%\)
Answer: (b) \(33.33 \ \%\)Solution: Given, \(n = 25 \ \%\), then Rohan's weight is more than that of Mohan's weight in percent, $$ = \left(\frac{n}{100 - n} \times 100 \right) \ \% $$ $$ = \left(\frac{25}{100 - 25} \times 100 \right) \ \% $$ $$ = \left(\frac{25}{75} \times 100 \right) \ \% $$ $$ = 33.33 \ \% $$
If the price of vegetables increases by \(2 \ \%\), then find how much percent of vegetable consumption be reduced so as not to increase the expenditure?