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Solutions GST

The document contains multiple choice questions and answers related to mathematics, specifically focusing on discounts, selling prices, GST calculations, and profit margins. Each question is accompanied by explanations and calculations to clarify the answers. The content is structured in a way that helps readers understand the application of mathematical concepts in real-world scenarios involving sales and taxation.
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0% found this document useful (0 votes)
90 views11 pages

Solutions GST

The document contains multiple choice questions and answers related to mathematics, specifically focusing on discounts, selling prices, GST calculations, and profit margins. Each question is accompanied by explanations and calculations to clarify the answers. The content is structured in a way that helps readers understand the application of mathematical concepts in real-world scenarios involving sales and taxation.
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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ANSWERS

Multiple Choice Questions


1. (d) both (b) and (c) Discounted price = Listprice - Discount
Explanation : =20,000- 15% of 20,000
= 20,000-3,000
When an article is sold without any discount,
then its selling price is equal to its [S price or =17,000
marked price, but not cost price, as the article Now, Total amount tobe paid
may be selling at a higher price than the cost =Discounted price + Tax on discounted price
price. =17,000 +28% of 17,000
2 (a) 765 =17,000 + 4,760 = 21,760.
Explanation : 4. (c) 12%

Marked price=5,000 and discount =15% Explanation:


.Selling price CGST paid -120
= Marked price M.P. of article 2,000
- Discount of 15% on marked price In case of intra-state sales,
CGST = SGST
15
=5,000 - x 5,000 and GST amount =CGST+SGST
100
= 120 + 120 = 240
=5,000 -750 = 4,250 GST Amount
Then, GST Rate = x 100
.:. Tax = Tax rate x Selling price of article Marked Price
= 18% x 4,250 240
18
x 100= 12%
2000
4,250 = 765.
100 5. (b) 28
3. (c) ? 21,760 Explanation :
Explanation : GST Amount = Marked Price x
GST Rate
100
List price = 20,000,discount = 15%
36 ICSE Question Bank Mathematics - X
=75,000+900
7
= 800 x =756 =5,900.
100
11. (b) 637.20
GST Amount 56
SGST = =28
2 2 Explanation :
6. (d) ?86.40 Discounted price of one item
=7450- 20% of ?450 =
Explanation :
Discounted price of other item
Marked price - 1200
Discount = 20%
=200 - 10% of 200 = 1
Discounted price = 1200 20% of 1200 .:: Total price of two items
= 1200 - 240 = (360 + 180) = 540
=7960 GST = 18%
CGST = SGST = 9°% of ? 540
Now, SGST = -GST =48.60

1
So, total bill = Total price+CGST + SGST
SGST = x18% = 9% = (540 + 48-60 + 48-60)
-637-20
SGST amount = 9% of 960
12. (a) 1,577.66
=786.4
7. (d) Nil Explanation :
Discounted price of first item
Explanation :
=400- 12% of ?400
It is a case of inter-state transaction, so only
=352
IGST will be imposed.
8. (a) 450, 450, Nil Discounted price of second item
=500- 15% of 500
Explanation : -7425
Selling price = 5,000 Discounted price of third item
GST rate = 18% =700- 20% of 700
". It is a case of intra-state transaction, =560
.. Total price of three items
CGST =SGST 2 GST = (352 + 425 + 560)
x 18% of 5,000 =71337
2 GST rate = 18%

x 5,000=450 IGST = 18% of 1,337


100 =240-66
and IGST = 0. Total bill =Total price +IGST
9. (b) Nil, Nil, ? 2,240 =71337+240-66
=1377-66
Explanation :
13. (c) a = 5,400, b = c = 150. d =¢= l N
Selling price = 8,000 2,800, g=6,373, h = 15,360
", It is a case of inter-state transaction,
CGST = SGST = 0 Explanation:
and IGST = 28% of 8,000 =2,240. For the irst item
10. (d) ? 5,900 b=CGST = 6% of 2500 - 150 = SGST =

Explanation : So, f= (2,500- 150 +150)


=2S00
Selling price =5,000 For the second item,
Rate of GST = 18% = 18% of 5,000 a =200 7=5,40
=900 total amnount = +CGST + SGST
So,
:. Amount Ramesh has to pay =?(5,400 + 486 +4 )
= S.P. +GST
=6.372
Goods and Services Tax (GST) 37

&=6,372 17. (b) 5,000


For the third item,
CGST = SGST = 14% of 12,000 Explanation:
=1,680 Let marked price of article be x.
18
d =e= 1,680 So, (x - 10% of x) + (r10% of x) 100 =5,310
and Total amount = Total cost + CGST + SGST
= (12,000 + 1,680 + 1,680) 9x 9x 18
+ =5,310
= 15,360 10 10 100
h =15,360. 900x +162x
=5,310
14. (d) a= 200,b=450, c= 20, d=45, e=220. 1000
f=495
1,062x = 53,10,000
Explanation : r=5,000.

For the first item, 18. (a) 11-11%


Discount = Nil Explanation :
Discounted price =Cost price - 200 Tax paid by shopkeeper to the State
GST rate = 10% Government
IGST = 10% of 200=20 = Output SGST - Input SGST
Total amount = 200 + 20 ...(i)
=7220 =7100.
So, a=7200, c = 20, e = 220 Let the discounted price be?x.
For the second item, GST = 18%
Discounted price = 500 -10% of 500 Then, Input SGST paid by shopkeeper (i.e., GST
=450 paid while buying)
9x
GST = 10% =9% ofx=
100
IGST =10% of ? 450 =45
Total anmount = 450 +45 =495 and output SGST collected by shopkeeper (i.e,,
GST collected from consumner, while selling the
b=450, d=45, f= 495.
15. (a) a=960, b=c= 86-40, d=0
product)
= 9% of?10,000
=900
Explanation :
Now, from (i),
It is acase of intra-state transaction. 9x
?900 ) = 100
Now, Discounted price 100
71,200 - 20% of 1,200
9
=960 = 800
100
CGST =SGST = GST X=78,888.89
= 9% of 960 =86-40 Now, discount rate
IGST = Nil
10,000 -8,888.89
x 100%
So, a=960, b = c=86-40, d=0. 10,000
16. (b) ? 1,239 = 11-11%.

Explanation: 19. (d) 300

Marked price = 1,000 Explanation :


Profit = 5% of 1,000 It is a case of inter-state transaction, so only
=750 IGST will be charged.
Selling price = 1,000 + 50 = 1,050 SGST = 5%
GST rate = 18% IGST = GST = 10%
GST = 18% of 1,050 = 189 So, IGST payable by Gaurav to the Government
. Total amount paid by consumer =Output IGST -Input IGST
=1,050 + 189 ...(i)
=1,239. Now, Discounted C.P. for Gaurav
38| 1CSE Question Bank Mathematics - X
=710,000 -10% of ? 10,000 59x
= 10,620
=79,000 50

and selling price for Gaurav 10,620x 50


Y =
=?12,000 59
:. IGST payable by Gaurav =9,000
=10% of 12,000 - 10% of 9,000
=?1,200-900 The reduced price of the machine is ?9
23. (d) ?18,880
=?300.
20. (d) 7,375 Explanation :
Explanation: C.P. for B= 12,000
Total discounted price Since Bsells it to Cat a profit of ? 2,000,
= (2,000 +(5,000- 15% of 5,000)] CP. for C=12,000 + 2,000
= (2,000 + 4,250] =714,000
=6,250 Now, Csells it to Dat a profit of 2,000.
GST rate = 18% CP. for D=?14,000 + 2,000
CGST =SGST = 9% of?6,250 =716,000
Also, GST rate = 18%
=562-50
.:. Total amount Shashi has to pay CGST =SGST paid by D
=76,250+ 562-50 + 562-50 = 9% of 16,000
-7,375. =71440

21. (b) 50,000 .:. Total amount paid by D


= 16,000 + 1,440 + 1,440
Explanation :
=18,880.
Let the listed price of the goods be x.
24. (b) R5,900
So, marked price =x+ 20% of x
6 Explanation:
5 Rate of GST = 18%
CGST = SGST
» Discounted price =
=9% of 5.000
513 =450
500 .. Cost price for dealer B
GST Rate = 18% =7(5,000 + 450 +450)
513
CGST = 9% of 500 = 4,617 =5,900.
25. (c) Profit
(Given) 26. (a) 90
100
9513,
500
-4,617 Explanation:
4,617× 100x 500 C.P. for trader B=1,000
Y =
9x513 S.P. for trader B=R 1,500
Since, the transaction is inter-state,
- 50,000.
.:. Tax liability on B
22. (a) R9,000
Output IGST - Input IGST
Explanation : of ?1,0W
= 18% of 1,500- 18%
Let the reduced price of the washing machine =7270-180
bex. =90.
Then, ?r+ 18% of x = ?10,620 27. (a) R3,200
9x Explanation:
=10,620
x.
price of the article be
50
Let the reduced
Goods and Services Tax (GST) | 39
GST rate = 18% 31. (c) Statement 1is true, and Statement 2is false.
. CGST paid by shopkeeper while buying
=9% ofx Explanation :
9x Basic cost 800
100 Selling price - 800 + 20%, of 800
800 20
Now, selling price of article for the shopkeeper 800+ 960
100
-5,000
.:.CGST charged by shopkeeper while selling Statement 1is true.
=9% ofR 5,000 SCST =6%, CGST 6%
=450 Then, Final price = 960 + 6% of 960 + 6%, of 960
CGST paid by shopkeeper = 162 (Given) 6x960 6x960
=960 +
Output CGST -Input CGST- 162 100 100
9x
7450 - = 162 = 960 + 57.6 + 57.6
100
= 1075.2
9x
288
100 .:. Statement 2 is false.
32. (d) AllA,Band Care correct
X =3,200
28. (d) 165 Explanation :
Explanation : The product's list price already includes the 12%
GST. If thebasic price before GST is 1,000, then
Retailer purchased - 1500 the GST amount is 120 (12% of 1,000), which
Profit = 10% marks the total price 1120. The GST amount is
Selling price = 1500 +
1500 × 10 typically splitequally between SGST and CGST,
100 validating all statements.
7 15000 + 150 = 1650 33. (a) Only A and B are correct
1650x 10 Explanation:
The ammount of GST =
100
Basic cost price =500,
=7 165
30% profit on 500,
29. (b) ? 308 selling price = 500 + 30% + 500
Then,
Explanation : = 500+ 150
Printed Price =?3080 = 650
10
Then GST @10% = ?3080 x After adding 12% total GST (6% SGST + 6%
100 CGST)
=308 Ans. The final price = 650 + 12% of 650
30. (a) Both the Statement are true. = 650 + 78
=728
Explanation :
List Price = 1000 Statement A and B are correct and Cis incorrect.
Discount = 10% 34. (a) Ais true, Ris false.
After applying discount Explanation :
1000 x 10
Price becomes = 1000 - = 900
C.P. for dealer in Lucknow = 12,000
100
Statement 1 is true. GST rate = 10%
. Fina; Price = 900 Since, the sales are inter-state, so only IGST will
SGST = 5%, CGST = 5% be charged.
IGST = 10% of 12,000
After applying SGST and CGST =71,200
900 × 5 900 x 5
Then discounted price =900 + 100 100 .:. Price, including GST, paid by dealer in
Lucknow
=900 + 45 + 45 = 990
= 12,000 + 1,200 = 13,200.
Statement 2 is true.
40| 1CSE Question Bank Mathematics -X
35. (c) Both A and R are true, and R is the correct When a discount is applied, it reduces the price
reason for A. of the item. SGST and CGST are calculated
the reduced price, leading to a lower total
Explanation : for the consumer compared to the original lics
C.P. for Rita = 780 price without the discount.

Since, the sales are intra-state.


37. (d) Both A and R are true, and Ris
incorrect
reason for A.
1
CGST =SGST =GST =5% Explanation :
SGST paid by Rita = 5% of 780 To find the final selling price, one must first adA
=39. the profit to the cost price to get a subtotal. and
then apply SGST and CGST on this subtotal
36. (c) Both A and R are true, and R is the correct This process answers the selling price incudes
reason for A both the intended profit and the necessary
Explanation : taxes.

Formulae Based Questions


38. Given,wholesaler's C.P. of a T.V. Now, Discount amount - 1800 - 1600 =*200
=25,000 Discount Amount
Discount percentage = Marked Price
x100
(i) Marked price of a T.V.
25,000 + 20% of R25,000 200
100 = 11.11%
25,000+75,000 1800
=30,000. Ans.
(ii) Discount = 10% of7 30,000
Hence, the shopkeeper must give a 11.11%
discount.
10
= 30,000 x =73,000 40. (i) Cost of medicines =950
100
GST on medicines = 5% of 950
Discount price 5
=30,000 -3,000 x 950
100
=27,000
=?47.50
Tax for the wholesaler
= 8% of 27,000= 2160 Cost of a pair of shoes - 3000
Retailer's C.P. (Inclusive of all taxes) GST on shoes = 18% of 3000
= 27,000 + 2160 18
x 3000
100
=7 29,160. Ans.
(iiüi) Amount of GST to be paid by the =7540
wholesaler Cost of laptop bag = 1000
= Tax on the value added Discount on bag = 30% of 1000
by the wholesaler 30
= 8% of (27,000 - 25,000 ) x 1000
100
=300
-x 2000
100 :. Cost of laptop bag after discount
=160. =(1000 300)
Ans.
39. The price without GST =700
Selling Price (Inclusive of GST) GST on laptop bag = 18% of ? 700
Net price = 18
1+
GST Rate x 700
100 100
=7126
1792 1792 .. Total GST on all items
1.12 * l600
12
1+
100
=7(47.50+ 540 +126) Ans.

=713.50
Goods andServices Tax (GST) 41
(ii) Total bill including GST = cost of (medicines Since, the sales are intra-state and the rate
+shoes +laptop bag) +Total GST on all items. of GST is 5%.
- (950 +3000 + 700) +7713.50 2.5
Input CGST = 2.5% of ? 80 = x 80= 2
-?(4650 +713.50) 100
=5363.50 Ans. Ans.
41. (a) For the consumer, Input SGST = 2.5% of 80 = 2. Ans.
Cost price = 100 Selling price = 100
GST paid - 5% of ? 100 = 5 2.5
Output CGST =2.5% of 100 = x 100
The price paid = 100 + 5 = 105. 100
Ans. =72.50. Ans.
(b) For the retailer, Output SGST = 2.5% of ? 100 = 2.50
Cost price - 80 Ans.

Determine the Following


42. (a) GST on wheat flour = (Price of wheat flour) Discount =
60x5
=3
x (Rate of GST) 100
Price after discount = 60-3 =57
- (35 x 5) x
100 Total price of pencil before discount
175x - 20 x7=140
100 140x 10
Discount = =14
100
GST on Basmati Rice - (Price of Basmati Rice)
x (Rate of GST) Price after discount = 140- 14 =7126
5 Total price of Rainbow cover notebooks before
= (180 x 5) x -45 premium =5 x 200 =1000
100
Premium charge =5 x 50 =*250
Since,the totalGST on wheat flour and Basmati Price after premnium = 1000 + 250 =1250
Rice is 45.
175x Total selling price (excluding GST) = 57 + 126
Then, + 45 =45 + 1250 =1433
100
(iü) Total price of pen (including GST)
X=0
57x 18
Hence, the value of x is 0. = 57 + -57 +10.26
100
GST Rate 18
(b) CGST Rate = = 9% =67.26
2 2

CGST Rate
Total price of pencil (including GST)
126x 12
Now,CGST = (Price per unit xy) x 100 = 126 +
100
9
= 126+ 15.12
39.60- (220 xy) x 100
=141.12
220 x y = 440 Total price of Rainbow cover Notebook
y=2 (including GST)
Hence, the value of y is 2. 1250x 12
= 1250+
(c) Price of wheat flour = (35 x 5) + 0 =175 100
Price of Basmati Rice = (180 x 5) + 45 =7945 = 1250 + 150 =1400
Price of Surf Excel = (220 ×2) +79.2 =7519.2 Hence, totalamount to be paid by Chetan
Hence, the total bill = 175+945 +519.2 = 1639.2 (including GST)
= 67.26 + 141.12 + 1400
3. (a) (i) Total price of pen before discount
= 12 x 5=60 =1608.38
42 | ICSE Questin Bonk Mghentis- Z
(i1i) Total price after 2% discount Yes, the Shopkeeper veThaTZed an atrCAre -.
1433 9% 48.74.
Discount price = 1404.34 44. Selling price of Hair oál = 1200-?
100
18 100-?1105,
GST (18%) on discounted price GST 18% -110
100
18
GST = 1404.34 25278 Selling priCe of cashew uts = ? 60
100
GST 12% =? 60
12
Total anount charged by shopkeper 100
Total amount = 1404.34+ Z52.78 (a)Total GST paid- 1%-72 =? 01
-1657.12 b) Total Bill including GST
(b) The actual total amount -16838 =(S.P. +GST of Hzir oil)
-(SP +CST of c23tew uts
The shopkeeper charged -1657.12
-(1100 - 198)- (600 - 72)
Overcharge = 1657.12 - 1608.38 =128-672 = 170
-748.74 Ang
45.
Rajdhani Departmental Store
Marked Discounted
S. No. Item Discount GST Tax
Price Price

121100
1. Dry fruits (1 kg) 1200 100 1100 12% -132
100

2
Packed Wheat four 5286
286 N1 286 3% = 43
(5 kg) 100

3.
12450
Bakery products 10% 7450 12%
100

Total V836 20.3)


Hence Total amourtto be paid = 1836 - 20030
=2036.30
46.

Soham Sweet Mart Bill


S Quan- Rate of Total
Item Price GST
N. tity GST Price
Laddu 500per 2kg 5% 1000 G0
kg
2 Pasties 100 per 12 18% 120016
piece pieces
(a) Totzl GST paid = 50- 216 =266
b) Iotal bill incuding GST -1000-30-1200-2162466

Concept Based Questions


47. (i). Tumover of goods tarable at 5%
=72500
=30,000
(ü)- Tumover of goods taable at 1%
Tax charged - 5% of ? 50000 =32000
Tax charged - 12% oé ? 32.000
100
Guods and Services Taz (G5T)|43
12 49. Let the profit of the shopkeeper =?z.
3,20,000
100 CST by shopkeepe-36
?38,400 12% of x 36
12
(ii) Tax exempted sales -12 =36
Sale which is not 100

liable for tax under GST 36100 -300


12
45,000
The price at which the shopkeeper bought
Total tax charged=2,500+?38,400 the article
=40,900 =?1500-300 =71,200
Tax paid=38,000 The price at which the shopkeeper
Tax liability (under GST) purchased the article inclusive of GST
- Total tax charged - Tax paid 12
= 1,200+ x1,200
=40,900 -38,000 100
=?2,900 Ans. = (1,200 +144)
=71344 Ans.
48. (i) For the distributor:
50. (i) GST paid by the manufacturer
Cost of the article =15,000 = 8% of 15,000
Tax paid = 10% of 15,000
15,000 =?1,200
10×15,000 =71,500 100
100 GST paid by the wholesaler
Selling price of the article = 8% of 1,200
8
=20,000 1,200=96
100
Tax charged = 10% of 20,000 Total GST received by the State Governmernt on
10x 20, 000 the sale of machine from the manufacturer and
=2,000
100 the wholesaler
:.GST paid by distributor=Tax recovered on sale =(1,200+ 96)
-Tax paid on purchase =1,296 Ans.
=2,000- 1,500 (ii) Amount paid by the consumer
=500 Ans. - (15,000 + 1,200 + 1,800)
+ GST @ 8%
GST paid by distributor
= Tax on (S.P. -CP) 8
-? 18,000 100
18,000
= 10% of ( 20,000-15,000)
10 =7 (18,000 +1,440)
x 5,000 Ans.
100 =?19,440
=500. Ans. 51. Given, list price=9000, Rate of GST =12%
Let, the rate of discount be r%
(ii) For the trader : :. For the shopkeeper,
Cost of the article =20,000 Cost price =9000 - r% of 9000
(:. S.P. of distributor = C.P. of trader]
Tax paid = 10% of 20,000 =9000-x9000
100
=2,000
Selling price of the article = 22,000
=7 (9000 - 90x).
Since. the sales are intra-state,
Tax charged = 10% of 22,000 Input SGST = 6% of (9000-90z)
10x 22,000 6
=2,200 =
(9000-)-90x)
100 100
:.GST paid by the trader =Tax recovered on sale
- Tax paid on purchase B (9000 - 90r) =?540
=2,200 - 2,000
=200 Ans. Selling price =?9000.
44 | ICSE Questlon Bank Mathematics - X
.. Output SGST = 6% of ? 9000 27x
6 5
x 9000 =540
100 According to the question,
27x 27x
:. SGST paid =540 -|540 =?54
5 5
27x 54x5
= 10
540 - 540 + 27
5
The required rate of discount = 10%. Ane

Practice Exercise

1. (i) 187-50 5. (i)) R37,500


(ii) ? 62-50 (ii) ? 3,640
(ii) 49,140
2. (i) R2,200
6. (i) 1,696
(ii) ? 50
(ii) ? 19-20
3. (i) 240
7. (i) 30,000
(ii) 120 (ii) ? 29,160
4. 432 (iii) ? 160

Brain StormingQuestions
8. (i) 144 10. (i) Producers GST 10
(ii) 17,496 Wholesaler GST 20
9. (i) 8,400 Retailer GST 30
(ii) 75,600 (ii) 880.
48| CSL Questin Baaà
NatbeatæX
Formulae Based Questions
2 Mr Sonu has a
reoutrng depoit account and per annum that the bunk
deposits 750 perer month
mo tor 2 years If he gets wa payin h
19125 at the time ot maturity. tind the rate of recurring deposit account
17. SonLa had
interest
|Board Ouestiool recurring depmit KUrt in
3. Naeemhas a5years back
Reurring Deposit accOunt and desosted o0 pet month e
in I'unjab National Bank lt the rate of ys
and depit 240 per interest wAs
month If she reeives 17,64 pa.. rd
at matunty value of this acont
Inaturnty, find thhe rate ot interes the time of
M. Zalarullah has a recurring deposit IBoardUssan
account J3. kiran depoited
in 00 pr meh br
a bank (or )! years in s bank s Wda
at95% S pa l he gets reurring
bank pys interest st th depost acoos
7H,n38 at the time of rate ofL1 ene
maturity Find the find the amout she
monthly instalment gets on maturity
19. Mohan hasa
35. Priyanka has recutring dept
at 6 pa utnple acct
recurring a bank toor 2 vears
000 per month at 10% (erdeposit accoLnt of
anum if she gets he gts ?1200 a5 inte
5550 as interest at the
ime ot maturity, find fid
isterest at the tre of mut
the total time for
which the accoant was held ) the monthly sn
talrmet
36. A man opened a |Board Ouestionl 6) the attcunt od
thaturity
in a branch of NB recuring deposit accOunt 40 Salrnan deposts
000every onth i
The man fecurrin
amount of money per month depositssch certain pit accoKunt tor 2 sears S
teceives 6 0on maturity, find
2years, the sch that atte
interest aCCumul
alated s equal to (a) the total rtetest
(b) the rate cd intetectSalmuan esrns
his monthly
deposits Find the rate of
interest Bosrd Oueti
Determine the Following
41. Amit depoted
teo0
per month in a
deposit recurring In a recurring
of 12% pa Calark pays asimple intert depost
laulate the
ICISCEJ total aOunt deposited accouns
b apein
foe 2 yars,
(ajnumber
ber of monthly E
depoita l instalmetts Amút the snterest eanned by hi Or-ed
total deegt, té Hd

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