If $$ {a^{x}={(x+y+z)^{y}}}, a^{y}=(x+y+z)^{z}  and \ a^{z}=(x+y+z)^{x}$$ then the value of (x +y +z) is

Three partners started business by investing Rs.60,000, Rs.80,000 and Rs.1,20,000 respectively. First partner left the business after 4 months, second after 9 months and third rem ained in the business for the whole year. At the end of year the total profit earned is Rs. 1,60,480, then find their shares of profit.

A sum of Rs. 8000 will amount to Rs. 8820 in 2 years if the interest is calculated every year. The rate of compound interest is 

Direction: Study the information given below carefully and answer the questions given below.
There are 450 coupons which can be used in Pedicure and Hair cutting. Ratio between Males to Females who use their coupons in Hair cutting is 13: 7 Number of males who use their coupons in Pedicure is 72 more than number of females who use their coupon in Hair cutting. Total number of males who use their coupon in Pedicure and Haircutting together is 174 more than total number of females who use their coupon in Pedicure and Haircutting together.

Find the ratio between Total number persons who use their coupons in Pedicure to total number of persons who use their coupons in Haircutting. 

A is twice as fast as B and B is thrice as fast as C. The Journey covered by C in  42 minutes will be covered by A in.                                           

A radio is sold for Rs.900 at 10% profit. If it had been sold for Rs 890, what would have been the actual profit or loss?

Let D and E be two points on the side BC of △ABC such that AD = AE and BAD = ∠EAC. If AB = (3x+1) cm, BD=9 cm, AC = 34 cm and EC = (y+1) cm, then the value of (x + y) is:

In a class, there are ' z ' students. Out of them ‘x’ are boys. What part of the class is composed of girls?