A man invests Rs. 25,520 in mutual funds, which is 40% of his annual income. What is his monthly income?
Rs 5301.56
Rs 5303.12
Rs 5316.67
Rs 5322.78
Answer: (c) Rs 5316.67Solution: Let the annual income of the man is Rs \(x\) then. $$ 40 \ \% \ of \ x = 25520 $$ $$ \frac{40}{100} \times x = 25520 $$ $$ x = \left[\frac{25520 \times 100}{40}\right] $$ $$ x = 63,800 $$ The annual income of the man is Rs 63,800. Hence the monthly income of the man. $$ = \frac{63,800}{12} $$ $$ = Rs \ 5316.67 $$
Which one value is greatest in 0.23, \(\frac{11}{23}\), and \(12 \frac{1}{2} \ \%\)?
0.23
\(\frac{11}{23}\)
\(12 \frac{1}{2} \ \%\)
None of them
Answer: (b) \(\frac{11}{23}\)Solution: $$ \frac{11}{23} = 0.47 $$ $$ 12 \frac{1}{2} \ \% = \frac{25}{2} \ \% $$ $$ = \frac{25}{2} \times \frac{1}{100} $$ $$ = 0.125 $$ Hence \(\frac{11}{23}\) or 0.47 is the greatest value among them.
If the price of a laptop inclusive of sales tax of 6% is Rs 36,800 then find the market price of the laptop?
Rs 34716.98
Rs 34810.69
Rs 34866.38
Rs 34916.87
Answer: (a) Rs 34716.98Solution: Let the market price of a laptop is Rs \(x\) then. $$ x + 6 \ \% \ of \ x = 36,800 $$ $$ x + \frac{6}{100} \times x = 36,800 $$ $$ 100x + 6x = 36,800 \times 100 $$ $$ 106x = 3,680,000 $$ $$ x = Rs \ 34716.98 $$ Hence the market price of a laptop is Rs \(34716.98\).
The difference between 46% of a number and 27% of the number is 6750. What is 15% of that number?
5316.5
5324.3
5328.9
5336.6
Answer: (c) 5328.9Solution: Let the number is \(x\) then. $$ 46 \ \% \ of \ x - 27 \ \% \ of \ x = 6750 $$ $$ \frac{46x}{100} - \frac{27x}{100} = 6750 $$ $$ 46x - 27x = 675,000 $$ $$ x = 35526.31 $$ $$ \approx 35,526 $$ Now 15% of the number. $$ = \frac{15}{100} \times 35,526 $$ $$ = 5328.9 $$
If the difference between, the price of an item increased by 20% and the price of the item decreased by 25% is Rs 250 then find the original price of that item?
Rs 512.52
Rs 525.62
Rs 535.68
Rs 555.56
Answer: (d) Rs 555.56Solution: Let the original price of the item is Rs \(x\) then. $$ 120 \ \% \ of \ x - 75 \ \% \ of \ x = 250 $$ $$ (120 - 75) \ \% \ of \ x = 250 $$ $$ 45 \ \% \ of \ x = 250 $$ $$ \frac{45x}{100} = 250 $$ $$ x = \frac{250 \times 100}{45} $$ $$ x = Rs 555.56 $$ Hence the original price of the item is Rs 555.56.