SSC CPO PERCENTAGE QUANT QUIZ 4

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Question 1:

In a class, if $50 \%$ of the boys were girls, then there would be $50 \%$ more girls than boys. What percentage of the overall class is girls?

Question 2:

Fresh grapes contain $90 \%$ water by weight while dried grapes contain $20 \%$ water by weight. What is the weight of dry grapes available from $20 \mathrm{~kg}$ of fresh grapes?

Question 3:

When the price of rice increased by $32 \%$, a family reduced its consumption in such a way that the expenditure on rice was only $10 \%$ more than before. If 30 kilograms were consumed per month before, find the new monthly consumption.

Question 4:

If a certain weight of an alloy of silver and copper is mixed with $3 \mathrm{~kg}$ of pure silver, the resulting alloy will have $90 \%$ silver by weight. If the same weight of the initial alloy is mixed with $2 \mathrm{~kg}$ of another alloy which has $90 \%$ silver by weight, the resulting alloy will have $84 \%$ silver by weight. Then, the weight of the initial alloy, in $\mathrm{kg}$, is

Question 5:

In a tournament, a team has played 40 matches so far and won $30 \%$ of them. If they win $60 \%$ of the remaining matches, their overall win percentage will be $50 \%$. Suppose they win $90 \%$ of the remaining matches, then the total number of matches won by the team in the tournament will be

Question 6:

The salary of a man is Rs. 90000 per month from which he spends 20% on rent, 10% of remaining on bills, 20% of further remaining on miscellaneous expenses. From the remaining amount, man gives some money to his wife and rest he invests in mutual funds in the ratio of 7 : 2. Amount spent (in rupees) on rent is how much less or more than the amount invested in mutual funds?

Question 7:

If the numerator of a fraction is increased by $200 \%$ and the denominator is increased by $300 \%$, the resultant fraction becomes $\frac{21}{92}$. What is the original fraction?

Question 8:

Difference between $40 \%$ of $y$ and $20 \%$ of $x$ is 300 whereas difference between $40 \%$ of $x$ and $20 \%$ of $y$ is zero. Find the sum of ' $x$ ' and ' $y$ ' ?

Question 9:

If the length and breadth of a rectangle are increased by $8 \%$ and $12 \%$ respectively, then by what percent will the area of that rectangle increase?

Question 10:

A and B both spend 30% of their income together which is equal to Rs. 26400. If income of A is 20% more than that of B, then find the income of B (in Rs.)?