CAT QUANT PERCENTAGE 5

Question 1:

The ratio of $A, B$ and $C$ is $1: 2: 3$ where as their average is 600 . If $A$ increases by $20 \%$ and B decreases by $25 \%$, then by how much $\%$ should $C$ be increased or decreased so that their average would increase by $5 \%$ ?

10

20

25

30

Question 2:

A man started a business with certain capital. After one year he got a return of $50 \%$ and then donated $50 \%$ of the new capital ( capital + profit) and same process is followed on $2^{\text {nd }}$ year and $3^{\text {rd }}$ year. If at the end of $3^{\text {rd }}$ year he is left with Rs 15000 , then find the amount donated at the end of $2^{\text {nd }}$ year.

20000

25000

15000

30000

Question 3:

Five liquids have concentrations $10 \%, 20 \%, 30 \%, 40 \%$ and $50 \%$ respectively. If they are mixed in the ratio $5: 4: 3: 2: 1$, then what can be said about the percentage concentration $C$ of the resultant?

$20 < C < 25$

$25 < c < 30$

$30 < C < 35$

$35 < c < 40$

Question 4:

A boy multiplied a number by $3 / 4$ in place of $4 / 3$. What is the percentage decrease in the required value?

$42.25$

$43.75$

$44.50$

45

Question 5:

In a test with $40 \%$ passing marks, Malhar got 40 marks and failed by 40 marks. If Malika got 60 marks in the same test, what would be her percentage score?

$30 \%$

$40 \%$

$50 \%$

$60 \%$

Question 6:

A student took 6 papers in an exam (the maximum possible marks for each paper being the same ). The marks he scored were in the ratio $4: 5: 6: 7: 8: 9$. His overall score was $52 \%$. If the passing marks in each paper in each paper were $45 \%$, in how many subjects did he pass?

2

3

4

5

Question 7:

Everyday a fruit seller sells half of his stock in the day time. But $10 \%$ of the stocks overnight get spoiled. If a total of 1983 fruits were spoiled over 3 nights, then how many fruits did he start with on day one?

20000

22000

24000

25000

Question 8:

The expenditure ratio of a family on rice, oil and and fish overhead is $12: 17: 3$. If the price of rice increases by $20 \%$, price of oil increases by $30 \%$ and the price of fish increases by $50 \%$, then find the 5age increase in the total monthly expenditure on the 3 items.

$28 \frac{1}{8}$

$12 \frac{1}{2}$

20

25

Question 9:

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?

2 kg

2.4 kg

2.5 kg

None of these

Question 10:

In a factory the raw material and the manufacturing cost formed individually $70 \%$ and $30 \%$ of the total cost. The initial profit $\%$ was $14 \frac{2}{7} \%$ of the raw material. If the cost of raw material and manufacturing are respectively increased by $20 \%$ and $40 \%$ and selling price is increased by $80 \%$, then find the new profit $\%$

$57 \frac{1}{7} \%$

$66 \frac{2}{3} \%$

$75 \%$

$37 \frac{1}{2} \%$