(b) Amit deposits ` 1600 per month in a bank for 18 months in a recurring deposit account. If he gets ` 31,080 at the time of maturity, what is the rate of interest per annum? [3] (c) The price of an article is ` 9350 which includes VAT at 10%. Find how much less a customer pays for the article, if the VAT on the article decreases by 3%. [4]
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SiddharthMardi:
both the answers are wrong. 1600 x 18 is 28800
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(b)
P=1600
n=18 months
MV=31,080
MV=Pxn+I
I=MV-Pxn=31080-1600x18=31080-28800
I=2280
I=Px(n(n+1)/2x12)xR/100
R=(2280x2x12x100)/1600x18x19
R=10% p.a.
(c)
Let original price be x
x+(10/100)*x=9350
11x/10=9350
x=8500
now vat rate=10-3=7%
price the customer pays=8500+7/100*8500
=8500+595=9095
difference=9350-9095=255
P=1600
n=18 months
MV=31,080
MV=Pxn+I
I=MV-Pxn=31080-1600x18=31080-28800
I=2280
I=Px(n(n+1)/2x12)xR/100
R=(2280x2x12x100)/1600x18x19
R=10% p.a.
(c)
Let original price be x
x+(10/100)*x=9350
11x/10=9350
x=8500
now vat rate=10-3=7%
price the customer pays=8500+7/100*8500
=8500+595=9095
difference=9350-9095=255
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