Question

(a) A manufacturer in Gujarat manufactures a machine and marks it at ₹50000. He sells the machine to a wholesaler in Jharkhand at a discount of 20%. The wholesaler sells the machine to a dealer in West Bengal at a discount of 10% on the MP. If the rate of GST is 28%, find the tax paid by the wholesaler to the Central Government.
$\left[3\right]$

(b) Mrs Mathew opened a Recurring Deposit Account in a certain bank and deposited Rs 640 per month for $4\frac{1}{2}$ years. Find the maturity value of this account, if the bank pays interest at the rate of 12 % per year.
$\left[3\right]$

(c) Solve each of the following equation:

$9(x^2+\frac{1}{x^2})-9(x+\frac{1}{x})-52=0$
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Answer 1

(a) At each stage of sale of the machine , there is an Inter-state transaction. So, the rate of GST on each transaction of machine is 28%.
For the Manufacturer :
MP = ₹50000 and discount = 20% of ₹50000.
Discount = $\frac{20}{100}\times 50000$ = ₹10000
$\therefore$ SP = MP - Discount
= ₹50000 - ₹10000 = ₹40000
$\left[1\right]$
For the Wholesaler :
CP = ₹40000
Discount = 10% of ₹50000 = $\frac{10}{100}\times 50000$ = ₹5000
SP = MP - Discount = ₹50000 - ₹5000 = ₹45000
$\left[1\right]$

$\therefore$ Tax paid by the wholesaler to the Central Government = Output Tax - Input tax
= Tax on SP - Tax on CP
= 28% of ₹45000 - 28% of ₹40000
= 28% of ₹5000
= $\frac{28}{100}\times 5000$ = ₹1400
$\left[1\right]$

(b)

Principal, P = Rs 640

Rate of interest, r = 12% per year

Time, n = 4.5 years

= 4.5 $\times$ 12 months

= 54 months
$\left[0.5\right]$

Amount of maturity = $P\times n+S.I.$
$\left[0.5\right]$

∴ Amount of maturity is Rs 44,064
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(c)

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