Q.1(a) Divide Rs.80000 in the ratio 2:6
(b)Express 58.5% to a common fraction.
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(a) To divide Rs. 80,000 in
the ratio 2:6, you can use the given ratio to find the amounts allocated to
each part.
The total parts in the ratio
are \(2 + 6 = 8\).
1 part = \(\frac{80,000}{8} =
10,000\).
Now, for the parts in the
ratio:
- For the first part (2
parts): \(2 \times 10,000 = 20,000\).
- For the second part (6
parts): \(6 \times 10,000 = 60,000\).
So, the amounts in the ratio
2:6 are Rs. 20,000 and Rs. 60,000, respectively.
(b) To express 58.5% as a
common fraction, you can write it as \(\frac{58.5}{100}\) and then simplify.
\[\frac{58.5}{100} =
\frac{585}{1000}\]
Now, simplify the fraction.
Both the numerator and denominator can be divided by 5:
\[\frac{585}{1000} =
\frac{117}{200}\]
So, 58.5% as a common fraction
is \(\frac{117}{200}\).
Q.
2(a)Price of one dozen oranges is Rs.50. Find the selling price, if they all
are sold at the profit of 14%.
(b)A ring was sold for Rs.980
on 2% loss. Find the cost price of the ring.
(a) To find the selling price
when the cost price is given and a profit percentage is applied, you can use
the formula:
\[ \text{Selling Price} =
\text{Cost Price} + (\text{Cost Price} \times \text{Profit Percentage}) \]
Given that the cost price of
one dozen oranges is Rs. 50 and the profit percentage is 14%, the calculation
is as follows:
\[ \text{Selling Price} = 50 +
(50 \times 0.14) \]
\[ \text{Selling Price} = 50 +
7 \]
\[ \text{Selling Price} = Rs.
57 \]
Therefore, the selling price
of one dozen oranges at a 14% profit is Rs. 57.
(b) To find the cost price
when the selling price is given and a loss percentage is applied, you can use
the formula:
\[ \text{Cost Price} =
\frac{\text{Selling Price}}{1 - (\text{Loss Percentage} / 100)} \]
Given that the ring was sold
for Rs. 980 and the loss percentage is 2%, the calculation is as follows:
\[ \text{Cost Price} =
\frac{980}{1 - (0.02)} \]
\[ \text{Cost Price} =
\frac{980}{0.98} \]
\[ \text{Cost Price} = Rs.
1000 \]
Therefore, the cost price of
the ring is Rs. 1000.
Q.
3(a)Price of a toy is Rs.250, discount offers on this toy @ 20%. Find the
amount of discount and discounted price.
(b)Ali is a distributor of a
calculator company he booked an order of 25 calculators @ Rs.650 per calculator
and agreed to allow 12% trade discount. Calculate the value of the invoice.
(a) To find the amount of
discount and the discounted price when a discount percentage is given, you can
use the following formulas:
1.
Amount of Discount:
\[ \text{Amount of Discount} = \text{Original
Price} \times \left(\frac{\text{Discount Percentage}}{100}\right) \]
2.
Discounted Price:
\[ \text{Discounted Price} = \text{Original
Price} - \text{Amount of Discount} \]
Given
that the price of the toy is Rs. 250 and the discount is 20%, the calculations
are as follows:
\[ \text{Amount of Discount} =
250 \times \left(\frac{20}{100}\right) \]
\[ \text{Amount of Discount} =
250 \times 0.2 \]
\[ \text{Amount of Discount} =
Rs. 50 \]
\[ \text{Discounted Price} =
250 - 50 \]
\[ \text{Discounted Price} =
Rs. 200 \]
Therefore, the amount of
discount is Rs. 50, and the discounted price is Rs. 200.
(b)
To calculate the value of the invoice with a trade discount, you can use the
following formula:
\[ \text{Invoice Value} =
\text{Number of Units} \times \text{Price per Unit} \times \left(1 -
\frac{\text{Trade Discount Percentage}}{100}\right) \]
Given that Ali booked an order
for 25 calculators at Rs. 650 per calculator and allowed a trade discount of
12%, the calculation is as follows:
\[ \text{Invoice Value} = 25
\times 650 \times \left(1 - \frac{12}{100}\right) \]
\[ \text{Invoice Value} = 25
\times 650 \times 0.88 \]
\[ \text{Invoice Value} = Rs.
14,300 \]
Therefore, the value of the
invoice is Rs. 14,300.
Q.
4(a)Find the interest on Rs.2180 for one year at simple interest 4%. (b)Ahmed borrowed Rs.2 lac at 5% simple
interest and invested the same amount at 5% compounded quarterly. Calculate
what he gains after 6 years?
(a)
To find the simple interest, you can use the formula:
\[ \text{Simple Interest} =
\frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100} \]
Given
that the principal amount is Rs. 2180, the rate is 4%, and the time is 1 year,
the calculation is as follows:
\[ \text{Simple Interest} =
\frac{2180 \times 4 \times 1}{100} \]
\[ \text{Simple Interest} =
\frac{8720}{100} \]
\[ \text{Simple Interest} =
Rs. 87.20 \]
Therefore, the simple interest
on Rs. 2180 for one year at a rate of 4% is Rs. 87.20.
(b) To calculate the compound
interest, you can use the formula:
\[ \text{Compound Interest} =
\text{Principal} \times \left(1 + \frac{\text{Rate}}{100 \times
\text{Compounding Frequency}}\right)^{\text{Compounding Frequency} \times \text{Time}}
- \text{Principal} \]
Given
that Ahmed borrowed Rs. 2,00,000 at 5% simple interest and invested the same
amount at 5% compounded quarterly for 6 years, the calculation is as follows:
\[ \text{Compound Interest} =
200000 \times \left(1 + \frac{5}{100 \times 4}\right)^{4 \times 6} - 200000 \]
\[ \text{Compound Interest} =
200000 \times \left(1 + \frac{1}{20}\right)^{24} - 200000 \]
\[ \text{Compound Interest} =
200000 \times \left(\frac{21}{20}\right)^{24} - 200000 \]
\[ \text{Compound Interest} \approx
52058.95 - 200000 \]
\[ \text{Compound Interest}
\approx Rs. 147941.05 \]
Therefore, after 6 years,
Ahmed gains approximately Rs. 1,47,941.05 from the investment at 5% compounded
quarterly.
Q.
5(a)Calculate the difference between compound interest and simple interest both
are charge on Rs.3500 at the rate 25% annually for 6 years. (b)35% commission
is offered to an agent by a manufacturer to sale his old stock. The commission
that agent received is of Rs. 28,000. Calculate the amount received by the manufacturer.
(a)
To calculate the difference between compound interest and simple interest, you
can use the formulas:
\[ \text{Simple Interest} =
\frac{\text{Principal} \times \text{Rate} \times \text{Time}}{100} \]
\[ \text{Compound Interest} =
\text{Principal} \times \left(1 + \frac{\text{Rate}}{100}\right)^{\text{Time}}
- \text{Principal} \]
The
difference is given by:
\[ \text{Difference} =
\text{Compound Interest} - \text{Simple Interest} \]
Given that the principal
amount is Rs. 3500, the rate is 25%, and the time is 6 years, the calculation
is as follows:
\[ \text{Simple Interest} =
\frac{3500 \times 25 \times 6}{100} \]
\[ \text{Simple Interest} =
Rs. 5250 \]
\[ \text{Compound Interest} =
3500 \times \left(1 + \frac{25}{100}\right)^6 - 3500 \]
\[ \text{Compound Interest}
\approx Rs. 8710.94 \]
\[ \text{Difference} = 8710.94
- 5250 \]
\[ \text{Difference} \approx
Rs. 3460.94 \]
Therefore, the difference
between compound interest and simple interest is approximately Rs. 3460.94.
(b)
The commission received by the agent is 35% of the total amount. To find the
total amount, you can use the formula:
\[ \text{Total Amount} =
\frac{\text{Commission Received}}{\text{Commission Rate}} \]
Given
that the commission received is Rs. 28,000 and the commission rate is 35%, the
calculation is as follows:
\[ \text{Total Amount} =
\frac{28000}{0.35} \]
\[ \text{Total Amount} = Rs.
80,000 \]
Therefore, the amount received
by the manufacturer is Rs. 80,000.
Dear Student,
Ye sample assignment h. Ye bilkul
copy paste h jo dusre student k pass b available h. Agr ap ne university
assignment send krni h to UNIQUE assignment
hasil krne k lye ham c contact kren:
0313-6483019
0334-6483019
0343-6244948
University c related har news c
update rehne k lye hamra channel subscribe kren: