Weshine Question bank Excel format Business Mathematics using R.xlsx

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1	SNO	Question	Unit/Chapter No.	Subunit/ Question No.	Marks	Difficulty Level	Answer Key/Marking Scheme	Question Type	Tag	Blooms Taxonomy	CO
2	1	A) If the ratio of A:B is 3:4 and A + B = 56. Find A and B. B) Increase 250 by 12%.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
3	2	A) Divide 180 in the ratio 5 : 7. B) Decrease 500 by 20%.		1a	10	L	step by step solution 10 marks	N		Apply	CO2
4	3	If x : y = 2 : 5 and x = 24, find y.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
5	4	Three numbers are in ratio 2 : 3 : 5 and their sum is 200. Find each.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
6	5	A and B are in ratio 4 : 9. If A increases by 10, the ratio becomes 5 : 9. Find original A and B.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
7	6	6 pens cost $15. The cost ratio of pen A to pen B is 3 : 2. If there are 3 pens of type A and 3 of type B in the 6, find cost per A and per B.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
8	7	If a : b = 7 : 11 and b : c = 11 : 13, find a : c.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
9	8	A recipe uses flour : sugar = 7 : 2. If flour used = 630 g, how much sugar is needed?	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
10	9	Incomes of P and Q are in ratio 4 : 5. P saves 20% of income and saves $800. Find incomes of P and Q.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
11	10	A) If 4 : x = 2 : 9, find x. B) If 30 is 25% of a number, find the number.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
12	11	If a : b = 3 : 4 and b : c = 6 : 7, find a : c.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
13	12	A) If 5/8 = x/48, find x. B) Price $800 with successive discounts 10% and 20%. Find final price.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
14	13	7 men take 12 days to build a wall. How many days will 14 men take (inverse proportion)?	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
15	14	If 3 books cost $45, how much will 7 books cost?	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
16	15	If speed is directly proportional to distance for fixed time: speed to cover 180 km in 3 h? (Check against 60 km/h for 120 km in 2 h.)	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
17	16	If x : y = 4 : 9 and x + y = 65, find x and y.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
18	17	A) If 2/3 = 14/x, find x. B) Convert 7/8 to percentage.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
19	18	If a : b : c = 2 : 3 : 4 and a + b + c = 180, find b.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
20	19	A) If 9/x = 3/7, find x. B) Bought for $400, sold for $500. Find profit percent.	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
21	20	A) Value increases from 120 to 150. Find percent increase. B) What percent of 360 is 54?	1	1a	10	L	step by step solution 10 marks	N		Apply	CO2
22	21	Define Ratio, Praprtion and Percentage with one example each.	1	1b	10	L	Define 10 marks	T		Remember	CO1
23	22	Define Profit and loss.	1	1b	10	L	Define 10 marks	T		Remember	CO1
24	23	Define Cost price and Market Price	1	1b	10	L	Define 10 marks	T		Remember	CO1
25	24	Define Gross Trade Discount and Cash discount	1	1b	10	L	Define 10 marks	T		Remember	CO1
26	25	Define Commission and Brokerage	1	1b	10	L	Define 10 marks	T		Remember	CO1
27	26	A dealer in furniture buys chairs at ₹340 each. At what price should he mark them for sale so that he may earn a profit of 25% after giving 15% discount?	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
28	27	Manufacturer gives 25% discount still he earns 12.5% profit. Find the list price of the article if he wishes to earn ₹800 per article.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
29	28	An agent receives 10% Commission on the sales price of goods. If he sells goods worth ₹15,000 find his Commission.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
30	29	An agent receives ₹1275 as Commission at 7.5% on sales. Find amount of sales.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
31	30	A trader buys an article for ₹500 and sells it for ₹650. Find profit and profit %.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
32	31	A shopkeeper buys a product for ₹800 and sells it for ₹720. Find loss and loss %.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
33	32	Cost price of an item is ₹400. If profit is 25%, find selling price.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
34	33	An article is sold for ₹900 at a profit of 20%. Find cost price.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
35	34	Marked price is ₹1000. A discount of 10% is given. If cost price is ₹850, find profit or loss.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
36	35	A trader gains 20% on one transaction and loses 10% on another. If both involve ₹1000 each, find net gain/loss.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
37	36	A shopkeeper wants 25% profit after giving 10% discount. Find marked price if CP = ₹400.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
38	37	If CP = ₹600 and SP = ₹750, find profit %.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
39	38	An article is sold for ₹540 at a loss of 10%. Find cost price.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
40	39	A trader marks goods 40% above cost and allows a discount of 20%. Find profit %.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
41	40	A man buys an article for ₹27.5 and sales it for ₹28.6 find his gain percent.	1	1b	10	L	step by step solution 10 marks	N		Apply	CO2
42	41	By selling mango baskets at ₹18 a basket fruit, merchant loses 10% on his outlay. Find the percentage of profit or loss when he sells each basket of mangoes at ₹24.	1	1c	10	L	step by step solution 10 marks	N		Apply	CO2
43	42	Akash purchased a car for rupees 8,44,000 and sold it to Piyush for rupees 8,68,400 find the profit or loss.	1	1c	10	L	step by step solution 10 marks	N		Apply	CO2
44	43	If cost price is 96% of the selling price then what is the profit%	1	1c	10	L	step by step solution 10 marks	N		Apply	CO2
45	44	Define Stock Exchange, Shares, Dividend	2	1c	10	L	Define 10 marks	T		Remember	CO1
46	45	Define Face value and Market value with an example	2	1c	10	L	Define 10 marks	T		Remember	CO1
47	46	Define Equity shares, Preferencial shares, Bonus shares.	2	1c	10	L	Define 10 marks	T		Remember	CO1
48	47	Define paid-up value and share capital.	2	1c	10	L	Define 10 marks	T		Remember	CO1
49	48	Define Stock and Debentures	2	1c	10	L	Define 10 marks	T		Remember	CO1
50	49	Find the annual dividend of 950 shares of Rs. 20 each at the rate of 6 1/2% P.A.	2	1c	10	L	Step by step answer 10 marks	N		Apply	CO2
51	50	A man buys 49 stocks from a company. He gets Rs. 12 as quarterly dividend frm each stock. If thebrate of dividend he receives is 10% P.A., what is the value of each stock?	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
52	51	What is the market value of 300 shares of Rs. 15 each if each share is sold at a premium of Rs. 3?	2	1c	10	L	Step by step answer 10 marks	N		Apply	CO2
53	52	What is the amount of investment for Rs. 3500 of 4% stock at Rs. 102?	2	1c	10	L	Step by step answer 10 marks	N		Apply	CO2
54	53	A sum of Rs. 1,25,000 was invested I purchasing equity shares of HDFC at market price of Rs. 125/- through KOTAK securities ltd. Kotak Securities charged broking at 0.4%. The face value of the share was Rs. 10. How many shares were purchased?	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
55	54	Nitin invests a part of ₹12,000 in 12% stock at ₹120 and the reminder in 15% stock at ₹125. If his total dividend per annum is ₹1360, how much does he invest in 12% stock at ₹120?	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
56	55	A company has a face value of ₹10 per share and declares a dividend of 20%. Calculate dividend per share for 100 shares.	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
57	56	A share of face value ₹100 is selling at ₹120. The company declares a 15% dividend. Find the yield.	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
58	57	A person invests ₹12,000 in shares of face value ₹10 quoted at ₹12. Find number of shares purchased.	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
59	58	A person owns 500 shares of face value ₹20 each. Dividend declared is 10%. Find total dividend.	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
60	59	A share of face value ₹50 is quoted at ₹40. Dividend is 12%. Find yield.	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
61	60	How much should be invested in ₹100 shares at ₹125 to earn ₹800 dividend at 10%?	2	1c	10	M	Step by step answer 10 marks	N		Apply	CO2
62	61	A person receives ₹600 as dividend from 200 shares at 15%. Find face value.	2	1d	10	M	Step by step answer 10 marks	N		Apply	CO2
63	62	A shareholder gets ₹240 dividend from 120 shares of face value ₹50. Find rate of dividend.	2	1d	10	M	Step by step answer 10 marks	N		Apply	CO2
64	63	Define Equation, independent and dependent variables.	3	1d	10	L	Define 10 marks	T		Remember	CO1
65	64	Define linear and quadratic equations.	3	1d	10	L	Define 10 marks	T		Remember	CO1
66	65	Define the slope of a linear equation. Explain its significance with a real-life business example.	3	1d	10	L	Define 10 marks	T		Remember	CO1
67	66	Differentiate between Linear equation in one variable and Linear equation in two variables. Give suitable examples.	3	1d	10	L	Define 10 marks	T		Remember	CO1
68	67	Define a quadratic equation. Write its standard form and explain the role of each term.	3	1d	10	L	Define 10 marks	T		Remember	CO1
69	68	Define data and matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
70	69	Define variable and constant.	4	1d	10	L	Define 10 marks	T		Remember	CO1
71	70	Define Square matrix and sub matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
72	71	Define Row matrix and column matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
73	72	Define null matrix and diagonal matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
74	73	Define Scaler matrix and unit matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
75	74	Define Transpose of a matrix and triangular matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
76	75	Define Upper triangular matrix and lower triangular matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
77	76	Define Symmetric and ske-symmetric matrix with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
78	77	Define equal matrices with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
79	78	Define Determinants with an example.	4	1d	10	L	Define 10 marks	T		Remember	CO1
80	79	Find A+B and A-B for any two matrices of order two.	4	1d	10	L	Define 10 marks	T		Remember	CO1
81	80		4	1d	10	L	Define 10 marks	N		Apply	CO2
82	81		4	1d	10	L	Define 10 marks	N		Apply	CO2
83	82		4	1d	10	L	Define 10 marks	N		Apply	CO2
84	83		4	1d	10	L	Step by step answer 10 marks	N		Evaluate	CO2, CO3
85	84		4	1d	10	L	Step by step answer 10 marks	N		Evaluate	CO2, CO3
86	85		4	1d	10	M	Step by step answer 10 marks	N		Evaluate	CO2, CO3
87	86		4	1d	10	M	Step by step answer 10 marks	N		Evaluate	CO2, CO3
88	87	Find A + B and A - B using matrices given below.	4	1d	10	L	Step by step answer 10 marks	N		Apply	CO2
89	88	Find A + B and A - B using following matrices.	4	1d	10	L	Step by step answer 10 marks	N		Apply	CO2
90	89	Find cofactor matrix of the followoing matrix.	4	1d	10	M	Step by step answer 10 marks	N		Apply	CO2
91	90	Find cofactor matrix of the matrix given below.	4	1d	10	M	Step by step answer 10 marks	N		Apply	CO2
92	91	Find cofactor matrix of:	4	1d	10	M	Step by step answer 10 marks	N		Apply	CO2, CO3
93	92	Find cofactor of matrix B.	4	1d	10	M	Step by step answer 10 marks	N		Apply	CO2, CO3
94	93	Find cofactor of matrix C.	4	1d	10	M	Step by step answer 10 marks	N		Apply	CO2, CO3
95	94	Find adjoint of the following matrix.	4	1d	10		Step by step answer 10 marks	N		Apply	CO2, CO3
96	95	Find adjoint of the matrix given below.	4	1d	10		Step by step answer 10 marks	N		Apply	CO2, CO3
97	96	Find adjoint of:	4	1d	10		Step by step answer 10 marks	N		Apply	CO2, CO3
98	97	Find the adjoint of:	4	1d	10		Step by step answer 10 marks	N		Apply	CO2, CO3
99	98	Find A*B	4	1d	10		Step by step answer 10 marks	N		Apply	CO2, CO3
100	99	Find A*B	4	1d	10		Step by step answer 10 marks	N		Apply	CO2, CO3