THE RATE AT WHICH THE MONTHLY SALARY OF A PERSON INCREASES ANNUALLY IS AN A.P.IF HE WAS DRAWING Ps4500p.m in his 11tyear of service and Rs6900p.m in his 27th year of service,find his salary at the start and the annual increment.also find the monthly salary after 30years
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prakhar157:
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explanation :-
a11 = 4500
a+(n-1)d=an
a + (11-1)d = a11
a + 10d =4500 ........(1)
a27= 6900
a + 26d = 6900 .........(2)
Now , subtracting (1) from (2) ,we get .,
a + 26d - a - 10d = 6900-4500
16d= 2400
d = 2400/16
d = 150 ........(3)
putting value of (3) in (1) we get.,
a + 10 (150) = 4500
a + 1500 = 4500
a = 4500 - 1500
a = 3000
an = a + (n-1)d
a30 = 3000 + (30 -1 )150
= 3000 + 4350
= 7350
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