# Percentages 1/2

9. Sum of 5% of a number and 9% of other number is equal to sum of 8% of first number and 7% of the second number. Find ratio between the numbers.
a. 1 : 2
b. 2 : 3
c. 3 : 2
d. 9: 13

10. A man spends 10% of his income on food and 80% of the remaining income on clothing. If he still has a balance of Rs. 180. what is his total income?
a. 1000
b. 1200
c. 1300
d. 1400

11. The length of a rectangle is increased by 60%. By what percent would be width have to be decreased to maintain the same area ?
a. $37\displaystyle\frac{1}{2}$ %
b. 60%
c. 75%
d. None of these

12. If the side of a square is increased by 30% , its area is increased by :
a. 9%
b. 30%
c. 60%
d. 69%

13. The price of an article has been reduced by 25%. In order to restore the original price, the new price must be increased by :
a. $33\displaystyle\frac{1}{3}$%
b. $11\displaystyle\frac{1}{9}$%
c. $9\displaystyle\frac{1}{{11}}$%
d. $66\displaystyle\frac{2}{3}$%

14. p is six times as large as q. The percent that q is less than p is :
a. $83\displaystyle\frac{1}{3}$
b. $16\displaystyle\frac{2}{3}$
c. 90
d. 60

15. Sameer spends 40% of his salary on food articles and $\displaystyle\frac{1}{3}rd$ of the remaining on transport. If he saves Rs.450 per month which is half of the balance after spending on food items and transport, what is his monthly salary?
a. Rs.1125
b. Rs.2250
c. Rs.2500
d. Rs.4500

16. The population of a town increases 4% annually but is decreased by emigration annually to the extent of (1/2)% .What will be the increase percent in three years ?
a. 9.8
b. 10
c. 10.5
d. 10.8