An employer engaged a servant with free boarding and lodging for

Question

An employer engaged a servant with free boarding and lodging for one year with the condition that the servant will be given Rs. 15000 and a cycle at the end of the year. The servant agreed but served the employer only for 9 months and thus received Rs. 11000 and a cycle. The price of the cycle is:

A. Rs. 1250
B. Rs. 1100
C. Rs. 1000
D. Rs. 900
E. Rs. 800

Show Answer

Official Answer

C

A. Rs. 1250
B. Rs. 1100
C. Rs. 1000
D. Rs. 900
E. Rs. 800

DashingNightmare2 · Answer

Let the cost of cycle =c
Per month cost =  \frac{(15000+c)}{12 }  =  \frac{(11000+c)}{9} 
=> C= 1000
hence C

Fahim48 · Answer

3 Month's salary = 12 Month's - 9 Month's = (15000+Cycle) - (11000+Cycle)= 4000
so, 12 Months Salary = 4*4000 = 16000

15000+Cycle=16000
Cycle=1000

nikchopra · Answer

Equation as what he should have gotten for 9months = what he got for 9months

Let price of cycle be x (for 12 months)

What he should have gotten - 
15k for 12 months then for 1month it is 1250 and thus for 9 months should have got 1250*9 = 11,250 
+ 
3x/4 (as price for one month for cycle is x/12 and for 9 months is 9*x/12 which is 3x/4)

what he got = 11,000 + x

so ie = 11,250 + 3x/4 = 11,000 + x

250 = x/4

Hence x is 1000

An employer engaged a servant with free boarding and lodging for

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An employer engaged a servant with free boarding and lodging for

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