Solution: The given equations may be written as: $2 x+y-35=0\dots \dots(i)$ $3 \mathrm{x}+4 \mathrm{y}-65=0 \quad \ldots \ldots(ii)$ Here $a_{1}=2, b_{1}=1, c_{1}=-35, a_{2}=3, b_{2}=4$ and...

### Solve the system of equations by using the method of cross multiplication:

### Solve the system of equations by using the method of cross multiplication:

,

Solution: The given equations may be written as: $\begin{array}{l} 2 x+5 y-1=0\dots \dots(i) \\ 2 x+3 y-3=0\dots \dots(ii) \end{array}$ Here $a_{1}=2, b_{1}=5, c_{1}=-1, a_{2}=2, b_{2}=3$ and...

### Solve the system of equations by using the method of cross multiplication:

,

Solution: The given equations are: $3 x+2 y+25=0\dots \dots(i)$ $2 \mathrm{x}+\mathrm{y}+10=0 \quad \ldots \ldots(ii)$ Here $\mathrm{a}_{1}=3, \mathrm{~b}_{1}=2, \mathrm{c}_{1}=25, \mathrm{a}_{2}=2,...

### Solve the system of equations by using the method of cross multiplication:

Solution: The given equations are: $\begin{array}{l} 6 x-5 y-16=0\dots \dots(i) \\ 7 x-13 y+10=0\dots \dots(ii) \end{array}$ Here $a_{1}=6, b_{1}=-5, c_{1}=-16, a_{2}=7, b_{2}=-13$ and $c_{2}=10$ On...

### 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{...

### Ashok invested Rs.26,400 in 12%, Rs.25 shares of a company. If he receives a dividend of Rs.2,475, find the: (i) number of shares he bought. (ii) market value of each share.

(I) Given, absolute profit \[=\text{ }Rs\text{ }2,475\] Along these lines, the profit on each offer \[=\text{ }12%\text{ }of\text{ }Rs\text{ }25\text{ }=\text{ }12/100\text{ }x\text{ }Rs\text{...

### 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{ }10 \\ Market\text{ }worth\text{ }of\text{ }1\text{ }offer\text{...

### 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(...

### 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 \[=\text{ }10%\text{ }of\text{ }Rs\text{ }100\text{ }=\text{ }Rs\text{ }10\]...

### Ashwarya bought 496, Rs.100 shares at Rs.132 each, find: How much extra must Ashwarya invest in order to increase her income by Rs.7,200

Given, The nominal worth of each offer \[=\text{ }Rs\text{ }100\] Market cost of each offer \[=\text{ }Rs\text{ }132\] Number of offers purchased \[=\text{ }496\] Assuming she needs to build her pay...

### Ashwarya bought 496, Rs.100 shares at Rs.132 each, find: (i) Investment made by her (ii) Income of Ashwarya from these shares, if the rate of dividend is 7.5%.

Given, (I) The nominal worth of each offer \[=\text{ }Rs\text{ }100\] Market cost of each offer \[=\text{ }Rs\text{ }132\] Number of offers purchased \[=\text{ }496\] In this way, the speculation...

### 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/4 \\ =\text{ }0.8\left( 48,000 \right)/12\text{ }+\text{...

### 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 \[=\text{ }Rs\text{ }100\]...

### A man invests a certain sum on buying 15% Rs.100 shares at 20% premium. Find : Sum invested

Considering that the man purchased portions of \[Rs\text{ }100\text{ }at\text{ }20%\]exceptional, the market worth of one offer \[\begin{array}{*{35}{l}} =\text{ }Rs\text{ }\left( 1\text{ }+\text{...

### A man invests a certain sum on buying 15% Rs.100 shares at 20% premium. Find : (i) His income from one share (ii) The number of shares bought to have an income, from the dividend, Rs.6480

(I) \[\begin{array}{*{35}{l}} Dividend\text{ }on\text{ }one\text{ }offer\text{ }=\text{ }15%\text{ }of\text{ }Rs\text{ }100 \\ =\text{ }Rs\text{ }\left( 15/100\text{ }x\text{ }100 \right)\text{...

### 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 \[=\text{ }9%\text{ }of\text{ }Rs\text{ }100\text{ }=\text{ }Rs\text{ }9\]...

### By investing Rs.45,000 in 10% Rs.100 shares, Sharad gets Rs.3,000 as dividend. Find the market value of each share.

We realize that, Yearly pay from \[1\text{ }offer\text{ }=\text{ }10%\text{ }of\text{ }Rs\text{ }100\text{ }=\text{ }Rs\text{ }10\] Given, the absolute pay\[~=\text{ }Rs\text{ }3000\text{ }\left(...