Maths

A company, with 10,000 shares of Rs 100 each, declares an annual dividend of 5%. (i) What is the total amount of dividend paid by the company? (ii) What should be the annual income of a man who has 72 shares in the company?

Given, Nominal worth of \[1\text{ }offer\text{ }=\text{ }Rs100\] Then, at that point, nominal worth of \[10,000\text{ }offers\text{ }=10,000\text{ }x\text{ }Rs\text{ }100=\text{ }Rs\text{...

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A man invested Rs45,000 in 15% Rs100shares quoted at Rs125. When the market value of these shares rose to Rs140, he sold some shares, just enough to raise Rs8,400. Calculate: (i)the number of shares he still holds; (ii)the dividend due to him on these remaining shares.

(I) Total speculation \[=\text{ }Rs\text{ }45,000\] Furthermore, the market worth of \[1\text{ }offer\text{ }=\text{ }Rs\text{ }125\] Hence, the quantity of offers bought \[=\text{ }45000/125\text{...

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Mr. Gupta has a choice to invest in ten-rupee shares of two firms at Rs13 or at Rs16. If the first firm pays 5% dividend and the second firm pays 6% dividend per annum, find: (i) which firm is paying better. (ii) if Mr. Gupta invests equally in both the firms and the difference between the returns from them is Rs 30, find how much, in all, does he invest.

(I) The primary firm: \[\begin{array}{*{35}{l}} Nominal\text{ }worth\text{ }of\text{ }1\text{ }offer\text{ }=\text{ }Rs\text{ }10Β  \\ Market\text{ }worth\text{ }of\text{ }1\text{ }offer\text{...

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A man invests a certain sum of money in 6% hundred-rupee shares at Rs.12 premium. When the shares fell to Rs.96, he sold out all the shares bought and invested the proceed in 10%, ten-rupee shares at Rs.8. If the change in his income is Rs.540, Find the sum invested originally

How about we expect the first total contributed to be \[Rs\text{ }x\] Then, at that point, the quantity of \[Rs\text{ }100\]offers bought at premium of \[Rs\text{ }12\]will be \[=\text{ }x/\left(...

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Gopal has some Rs.100 shares of company A, paying 10% dividend. He sells a certain number of these shares at a discount of 20% and invests the proceeds in Rs.100 shares at Rs.60 of company B paying 20% dividend. If his income, from the shares sold, increases by Rs.18,000, find the number of shares sold by Gopal.

Given, The nominal worth of each offer \[=\text{ }Rs\text{ }100\] Pace of profit \[=\text{ }10%\] Profit on each offer \[=\text{ }10%\text{ }of\text{ }Rs\text{ }100\text{ }=\text{ }Rs\text{ }10\]...

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Gagan invested 80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate: Percentage return, on the shares bought on the whole.

\[\begin{array}{*{35}{l}} The\text{ }complete\text{ }profit\text{ }or\text{ }the\text{ }return\text{ }=\text{ }0.8x/12\text{ }+\text{ }0.2x/4Β  \\ =\text{ }0.8\left( 48,000 \right)/12\text{ }+\text{...

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Gagan invested 80% of his savings in 10% Rs.100 shares at 20% premium and the rest of his savings in 20% Rs.50 shares at Rs.20% discount. If his incomes from these shares is Rs.5,600 calculate: (i) His investment in shares on the whole (ii) The number of shares of first kind that he bought

(I) Let's expect the complete reserve funds be \[Rs\text{ }x\](which is the venture) For the first part \[\text{ }80%\]of his investment funds Nominal worth of each offer \[=\text{ }Rs\text{ }100\]...

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Mrs. Kulkarni invests Rs.1, 31,040 in buying Rs.100 shares at a discount of 9%. She sells shares worth Rs.72,000 at a premium of 10% and the rest at a discount of 5%. Find her total gain or loss on the whole.

Given, Speculation \[=\text{ }Rs\text{ }1,31,040\] Nominal worth of \[1\text{ }offer\text{ }=\text{ }Rs\text{ }100\] Rebate \[=\text{ }9%\text{ }of\text{ }Rs\text{ }100\text{ }=\text{ }Rs\text{ }9\]...

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Mr. Richard has a recurring deposit account in a post office for 3 years at 7.5 % p.a. simple interest. If he gets Rs. 8,325 as interest at the time of maturity, find: (i) the monthly instalment (ii) the amount of maturity

How about we expect the regularly scheduled payment be \[Rs\text{ }P\] Interest over the period \[=\text{ }Rs.\text{ }8,325\] \[Pace\text{ }of\text{ }revenue\text{ }=\text{ }7.5percent\]...

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Mr. Bajaj needs Rs 30,000 after 2 years. What least money (in multiple of Rs 5) must he deposit every month in a recurring deposit account to get required money after 2 years, the rate of interest being 8% p.a.?

How about we accept the portion each month to be \[Rs\text{ }P\] Number of months \[\left( n \right)\text{ }=\text{ }24\] \[Pace\text{ }of\text{ }revenue\text{ }=\text{ }8percent\text{ }p.a.\] In...

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Ashish deposits a certain sum of money every month is a Recurring Deposit Account for a period of 12 months. If the bank pays interest at the rate of 11% p.a. and Ashish gets Rs 12,715 as the maturity value of this account, what sum of money did he pay every month?

Allow us to expect the portion each month \[\left( P \right)\text{ }as\text{ }Rs\text{ }y\] Number of months \[\left( n \right)\text{ }=\text{ }12\] Pace of revenue \[\left( r \right)\text{ }=\text{...

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Each of A and B both opened recurring deposit accounts in a bank. If A deposited Rs 1,200 per month for 3 years and B deposited Rs 1,500 per month for 2Β½ years; find, on maturity, who will get more amount and by how much? The rate of interest paid by the bank is 10% per annum.

Ascertaining for\[A\]: Portion each month \[\left( P \right)\text{ }=\text{ }Rs\text{ }1,200\] Number of months \[\left( n \right)\text{ }=\text{ }36\] Pace of revenue \[\left( r \right)\text{...

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Manish opens a Recurring Deposit Account with the Bank of Rajasthan and deposits Rs. 600 per month for 20 months. Calculate the maturity value of this account, if the bank pays interest at the rate of 10% per annum.

From the question, we have Installment per month \[\left( P \right)\text{ }=\text{ }Rs\text{ }600\] Number of months \[\left( n \right)\text{ }=\text{ }20\] Rate of interest\[\left( r \right)\text{...

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For a trader, marked price of a refrigerator = Rs. 15,680 inclusive of GST at the rate of 12% on the marked price. Gagan, a customer for this refrigerator, asks the trader to reduce the marked price of the refrigerator to such extend that its reduced price plus GST on it is equal to marked price of the refrigerator. Find the required reduction.

Allow us to accept the stamped cost of the fridge be \[Rs.\text{ }x.\] Which is comprehensive of \[GST\text{ }\left( 12percent \right)\] Thus, \[\begin{array}{*{35}{l}} x\text{ }+\text{...

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A is a manufacturer of T.V. sets in Delhi. He manufacturers a particular brand of T.V. set and marks it at Rs. 75,000. He then sells this T.V. set to a wholesaler B in Punjab at a discount of 30%. The wholesaler B raises the marked price of the T.V. set bought by 30% and then sells it to dealer C in Delhi. If the rate of GST = 5% find tax (under GST) paid by wholesaler B to the government.

We realize that, Introductory stamped cost by maker \[A\text{ }is\text{ }Rs.\text{ }75,000\] Then, at that point, \[B\]purchased the T.V. at a rebate of \[30percent.\] In this way, the cost of...

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The marked price of an article is Rs. 6000. A wholesaler sells it to a dealer at 20% discount. The dealer further sells the article to a customer at a discount of 10% on the marked price. If the rate of GST at each stage is 18%, find the amount of tax (under GST) paid by the dealer to the government.

We have, Initial marked price by manufacturer \[A\text{ }is~Rs.\text{ }6000\] Then, \[B\]bought the T.V. at a discount of \[20percent.\] Now, Cost price of \[B\text{ }=\text{ }80percent\text{...

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For a dealer A, the list price of an article is Rs. 9000, which he sells to dealer B at some lower price. Further, dealer B sells the same article to a customer at its list price. If the rate of GST is 18% and dealer B paid a tax, under GST, equal to Rs. 324 to the government, find the amount (inclusive of GST) paid by dealer B.

Let seller \[A\]offer to vendor \[B\text{ }at\text{ }Rs.\text{ }x\]lower cost. Then, at that point, from the inquiry, Net Tax paid by seller B is \[\begin{array}{*{35}{l}} \Rightarrow Output\text{...

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Consultancy services, worth Rs. 50,000, are transferred from Delhi to Calcutta at the rate of GST 18% and then from Calcutta to Nainital (with profit = Rs. 20,000) at the same rate of GST. Find the output tax at (i) Delhi (ii) Calcutta

(I) Output charge in Delhi (between state): \[\begin{array}{*{35}{l}} IGST\text{ }=\text{ }9percent\text{ }of\text{ }50,000\text{ }=\text{ }Rs.\text{ }4500\\ Accordingly, the yield charge in Delhi...

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A dealer X in Hapur (U.P.) supplies goods/services, worth Rs. 50,000 to some other dealer Y in the same city. Now the dealer Y supplies the same goods/services to dealer Z in Calcutta at a profit of Rs. 20,000. Find: (i) Output and input taxes for the dealer Y (ii) Net GST payable by dealer Y. [The rate of GST at each stage is 28%]

From the inquiry, we have For the vendor \[X\](intra-state exchange) The \[SP\text{ }=\text{ }Rs.\text{ }50,000\] For the vendor \[Y\](intra-state exchange) \[\begin{array}{*{35}{l}} CP\text{...

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A is a dealer in Meerut (U.P.). He supplies goods/services, worth Rs. 15,000 to a dealer B in Ratlam (M.P.). Dealer B, in turn, supplies the same goods/services to dealer C in Jabalpur (M.P.) at a profit of Rs. 3000. If rate of tax (under GST system) is 18%, find : (i) The cost of goods/services to the dealer C in Jabalpur. (ii) Net tax payable by dealer B.

From the inquiry, For \[A\](instance of between state exchange) S.P. in Meerut \[=\text{ }Rs.\text{ }15,000\] For B (instance of between state exchange) C.P. \[=~Rs.\text{ }15,000\] IGST \[=\text{...

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A is a dealer in Banaras (U.P.). he supplies goods/services worth Rs. 8000 to a dealer B in Agra (U.P.). Dealer B, in turn, supplies the same goods/services to dealer C in Patna (Bihar) at a profit of Rs. 1200. Find the input and output taxes for the dealer C under GST system; if the rate of GST is 18% and C does not sell his goods/services further.

From the inquiry, For the seller A (intra-state exchange) \[SP\text{ }=\text{ }Rs.\text{ }8,000\] For the seller B (intra-state exchange) \[\begin{array}{*{35}{l}} CP\text{ }=\text{ }Rs.\text{...

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Goods/services are sold from Kota (Rajasthan) to Mumbai for Rs. 20,000 and then from Mumbai to Pune. If the rate of GST is 12% and the profit made at Mumbai is Rs. 5000; find the net GST paid at Pune, if the dealer at Pune is the end-user.

From the inquiry, we have For the seller in Mumbai (between state exchange) C.P. \[=~Rs.\text{ }20,000\] IGST \[=~12percent\text{ }of~Rs.\text{ }20,000~\] \[=\text{ }12/100\text{ }x\text{...

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Goods/services are sold from Agra (U.P.) to Kanpur (U.P.) for Rs. 20,000 and then from Kanpur to Jaipur (Rajasthan). If the rate of GST is 18% and the profit made at Kanpur is Rs. 5000, find: (i) the net GST payable by the dealer at Kanpur. (ii) the cost of goods/services at Jaipur.

From the inquiry, when the item is sold from Agra to Kanpur (intra-state exchange) For the vendor in Agra: S.P. in Agra \[=~Rs.\text{ }20,000\] CGST \[=\text{ }9percent\text{ }of~Rs.\text{ }20,000\]...

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Fill in the blanks: When the goods/services are sold for Rs. 15,000 under intra-state transaction from station A to station B and the rate of GST is 12%. Now the same goods/services are moved under inter-state transaction from station B to station C and the rate of tax is 12%. (a) GST = ………………… (b) C.P. at station C = …………………

Presently similar merchandise/administrations are moved under between state exchange from station \[B\]to station \[C\]and the pace of duty is \[12%.\] (a) \[GST\text{ }=\text{ }12%\text{ }of\text{...

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Fill in the blanks: When the goods/services are sold for Rs. 15,000 under intra-state transaction from station A to station B and the rate of GST is 12%. As per GST System (a) C.P. at station B = ………………… (b) If profit = Rs. 5000 S.P. at station B = ………………………

At the point when the products/administrations are sold for \[Rs.\text{ }15,000\]under intra-state exchange from station \[A\]to station \[B\]and the pace of GST is \[12percent.\] According to GST...

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Fill in the blanks: When the goods/services are sold for Rs. 15,000 under intra-state transaction from station A to station B and the rate of GST is 12%. As per GST System (a) S.P. at station A = ………………… (b) CGST = 6% of 15,000 = ……………… SGST = 6% of 15,000 = ………………………

At the point when the products/administrations are sold for \[Rs.\text{ }15,000\]under intra-state exchange from station \[A\]to station\[~B\] and the pace of GST is \[12percent.\] According to GST...

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