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Ratio
Question 6 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
Annual income of Amit and Veer are the ratio 3 : 2, while the ratio of their expenditure is 5 : 3. If at the end of the year each saves Rs. 1000. The annual income of Amit is =?
Rs. 9000 | |
Rs. 8000 | |
Rs. 6000 | |
Rs. 7000 |
Question 6 Explanation:
| Amit | : | Veer | |
| Income | 1 | : | 3 |
| Expensex | 5 | : | 3 |
| Saving | 1000 | : | 1000 |
= 3 $\times$ 2000
= Rs. 6000
Question 7 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
If 60% A = 3/4 of B, then A : B is
9 : 20 | |
20 : 9 | |
5 : 4 | |
4 : 5 |
Question 7 Explanation:
\begin{align} & {\text{60}}\% \, {\text{of}}\, {\text{A}} = \frac{{\text{3}}}{{\text{4}}}\, {\text{of}}\, {\text{B}} \cr & \Rightarrow \frac{{60}}{{100}}{\text{A}} = \frac{3}{4}\, {\text{B}} \cr & \Rightarrow \frac{{\text{3}}}{{\text{5}}}{\text{A = }}\frac{{\text{3}}}{{\text{4}}}\, {\text{B}} \cr & \Rightarrow \frac{{\text{A}}}{{\text{B}}}{\text{ = }}\frac{{\text{3}}}{{\text{4}}} \times \frac{{\text{5}}}{{\text{3}}} \cr & = \frac{5}{4} \cr\end{align}
Question 8 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
Between two consecutive years my incomes are in the ratio of 2 : 3 and expenses in the ratio 5 : 9. If my income in the second year is Rs. 45000 and my expenses in the first year is Rs. 25000 my total savings for the two years is -
Rs. 15000 | |
Nil | |
Rs. 5000 | |
Rs. 10000 |
Question 8 Explanation:
Let income in the first year be Rs. x
And
expenses in the second year be Rs. y.
Then, \begin{align} & = \frac{x}{{45000}} = \frac{2}{3}\, {\text{and }}\, \frac{{25000}}{y} = \frac{5}{9} \cr & \Rightarrow x = \frac{{2 \times 45000}}{3} = 30000\, {\text{and}} \cr & \, \, \, \, \, \, \, y = \frac{{25000 \times 9}}{5} = 45000. \cr\end{align} ∴ Total savings for 2 years
= Rs. [(30000 - 25000) + (45000 - 45000)] = Rs. 5000
Question 9 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
IF a : b = 5 : 7 and c : d = 2a : 3b then ac : bd is =?
50 : 147 | |
20 : 38 | |
10 : 21 | |
50 : 151 |
Question 9 Explanation:
\begin{align} & {\text{a}}:{\text{b}}\, \, \, \, \, \, \, \, \, \, \, \, {\text{c}}:{\text{d}} \cr & 5:7\, \, \, \, \, \, \, \, \, \, \, \, \, 2{\text{a}}:3{\text{b}} \cr & \frac{a}{b} = \frac{5}{7}, \, \frac{c}{d} = \frac{{2a}}{{3b}} \cr & = \frac{2}{3} \times \frac{5}{7} = \frac{{10}}{{21}} \cr & \therefore ac:bd = \frac{{{\text{ac}}}}{{{\text{bd}}}} = \frac{5}{7} \times \frac{{10}}{{21}} \cr & \, \, \, \, \, \, \, \, \, \, \, \, \, \, = \frac{{50}}{{147}} = 50:147 \cr\end{align}
Question 10 [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER] |
The salaries A, B, C are in the ratio 2 : 3 : 5. If the increments of 15%, 10% and 20% are allowed respectively in their salaries, then what will be new ratio of their salaries?
Cannot be determined | |
3 : 3 : 10 | |
23 : 33 : 60 | |
10 : 11 : 20 |
Question 10 Explanation:
\begin{align} & {\text{Let}}, \cr & A = 2k \cr & B = 3k\, {\text{and}} \cr & C\, = 5k. \cr & A's\, {\text{new}}\, {\text{salary}} \cr & = \frac{{115}}{{100}}\, of\, 2k = \left( {\frac{{115}}{{100}} \times 2k} \right) = \frac{{23k}}{{10}} \cr & B's\, {\text{new}}\, {\text{salary}} \cr & = \frac{{110}}{{100}}\, of\, 3k = \left( {\frac{{110}}{{100}} \times 3k} \right) = \frac{{33k}}{{10}} \cr & C's\, {\text{new}}\, {\text{salary}} \cr & = \frac{{120}}{{100}}\, of\, 5k = \left( {\frac{{120}}{{100}} \times 5k} \right) = 6k \cr & \therefore {\text{New}}\, {\text{ratio}} \cr & \left( {\frac{{23k}}{{10}}:\frac{{33k}}{{10}}:6k} \right) = 23:33:60 \cr\end{align}
There are 10 questions to complete.