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# Ask a Mathematics(Class IX-X Tuition) Question

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S

Swati 12/11/2016 in  Mathematics(Class IX-X Tuition),

You borrowed Rs. 100 from a friend, who said you need to pay back Rs. 300 in 5 years, what rate are you being charged if it is compounded weekly?

Ankush replied | 25/11/2016

40%

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S

Shail 12/11/2016 in  Mathematics(Class IX-X Tuition),

How many years would it take you to have Rs. 2,500 if you saved Rs. 100 each month at 15%?

Ritwik replied | 04/12/2016

Principle for a month = Rs.100
Amount = SI+P= P(1+RT/100)=100(1+0.15T)
=>2500=100(1+0.15T)
=>25=1+0.15T
=>24=0.15T
=>T=160 months=13.3 yrs

Ankit replied | 09/12/2016

Principle for a month = Rs.100
Amount = SI+P= P(1+RT/100)=100(1+0.15T)
=>2500=100(1+0.15T)
=>25=1+0.15T
=>24=0.15T
=>T=160 months=13.3 yrs

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R

Robin 12/11/2016 in  Mathematics(Class IX-X Tuition),

To have Rs. 6000 in 7 years what interest rate would you need if you saved \$200 every quarter?

Jitender replied | 29/11/2016

1 Dollar = 68.67,
Now amount of one year = 200*4*68.67= Rs. 54936,
You have interest= 6000, Time =7 yr,
Now rate = 6000*100/54936*7= 1.5603 ans.

Ankit replied | 09/12/2016

1 Dollar = 68.67,
Now amount of one year = 200*4*68.67= Rs. 54936,
You have interest= 6000, Time =7 yr,
Now rate = 6000*100/54936*7= 1.5603 ans.

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N

Navam 12/11/2016 in  Mathematics(Class IX-X Tuition),

How long does it take for an investment to quadruple in value if the investment yields 6% per year (compounded monthly)?

Rachna replied | 24/11/2016

23 years.
Use A/P = (1+ r/n)^nt
Where, A/P is 4.

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R

Rajeswary 12/11/2016 in  Mathematics(Class IX-X Tuition),

How long will it take to repay a loan of Rs. 150, if I pay \$1 per week and the rate on my loan is 4%?

R

Rajapriya replied | 24/11/2016

210 weeks.

Ankit replied | 09/12/2016

210 weeks.

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S

Sribaghya 12/11/2016 in  Mathematics(Class IX-X Tuition),

Value an annuity of Rs. 300 per month for 7 years (r = 12.3%).

Nitish replied | 28/11/2016

Taking payment interval as annually, the present value of annuity is Rs. 1356. 20.

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S

Sunil 12/11/2016 in  Mathematics(Class IX-X Tuition),

Suppose you have the opportunity to make an investment expects to pay investors Rs. 7,000 per year for next eight years. If the cost is Rs. 50,000, what return would you receive?

Janpal Ghori replied | 04/12/2016

Rs. 6000.

Ankit replied | 09/12/2016

Rs. 6000.

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A

Alimasi 12/11/2016 in  Mathematics(Class IX-X Tuition),

If a two year weekly annuity is worth Rs. 5000 and r = 9.8%, what is the weekly cash flow?

Josh replied | 08/12/2016

Rs.45 per week.

Ankit replied | 09/12/2016

Rs. 8 K.

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U

User 12/11/2016 in  Mathematics(Class IX-X Tuition),

If an investment is expected to pay Rs. 400 per month for the next 14 months, how much should you be willing to pay for that asset if your cost of capital is 8%?

Suprita replied | 08/12/2016

Rs. 1512.

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R

Rishav 12/11/2016 in  Mathematics(Class IX-X Tuition),

You have borrowed Rs. 35,000 at an interest rate of 9%. If you plan to pay the loan off in annual installments of Rs. 4,000 (beginning next year), when can you pay back the loan?

Anushree replied | 29/11/2016

17.98 years.

Dimple Aggarwal replied | 01/12/2016

18 years

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G

Geeta 12/11/2016 in  Mathematics(Class IX-X Tuition),

The type of house you would like to buy requires a down-payment of Rs. 50,000. You plan to make that downpayment six years from now. How much do you need to save per week (beginning next week), if your money gets 7% (annually)?

S

Sravani replied | 02/12/2016

Test

Ankit replied | 09/12/2016

try

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H

Hardik 12/11/2016 in  Mathematics(Class IX-X Tuition),

The house you plan to buy will require a downpayment of Rs. 40,000 in two years. How much do you need to save per month (beginning next month), if your savings gets 8% (annually)?

Suprita replied | 08/12/2016

Rs. 1437 approx.

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D

Darshan 12/11/2016 in  Mathematics(Class IX-X Tuition),

If a perpetuity is worth Rs 1,000 and r = 15.5%, what is the cash flow?

A

Abhishek replied | 02/12/2016

1000/.155 = Rs. 6451.61.

Ankit replied | 09/12/2016

1000/.155 = Rs. 6451.61.

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K

Kartika 12/11/2016 in  Mathematics(Class IX-X Tuition),

Draw a net of a cuboid having same breadth and height, but length double the breadth?

Anurag replied | 06/12/2016

Here it is.

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A

Arun 13/11/2016 in  Mathematics(Class IX-X Tuition), Similarity

What do you mean by converse of basic proportionality theorem?

Shikha replied | 23/11/2016

If a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side.

Jayam replied | 23/11/2016

In a triangle if any line divides the two sides of a triangle in equal ratios then that line is parallel to the third line in that triangle.
Condition is the the dividing line should not be a median.

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U

Udaybhan 11/11/2016 in  Mathematics(Class IX-X Tuition),

Show previous answers

Daljit Kaur replied | 08/12/2016

Sales tax= Rs. 1600.

Ram Mohan replied | 08/12/2016

If 'r' stands for the percentage rate of Sales Tax say then (100+r) will be the Sale Price.
While its cost price is 100 and 'r' will be the Sales Tax '. Therefore, if 'SP stands for actual Sale Price and 'ST' stands for actual Sales tax then we have:-
(100+r) : r :: SP : ST
OR
(100+r)/r = SP / ST From this formula , given the values of any two of 'r' ; 'SP'...  more»
If 'r' stands for the percentage rate of Sales Tax say then (100+r) will be the Sale Price.
While its cost price is 100 and 'r' will be the Sales Tax '. Therefore, if 'SP stands for actual Sale Price and 'ST' stands for actual Sales tax then we have:-
(100+r) : r :: SP : ST
OR
(100+r)/r = SP / ST From this formula , given the values of any two of 'r' ; 'SP' ; 'ST' the value of the third can be found.
In the given Sum, r = 10, SP = 17600 ST =? from the above formula, we can write
ST =r * SP /(100+r) = 10 * 17600 /(100+10) = 10 * 17600/110 = Rs.1600.
Therefore, the Sales Tax on the Refrigerator is Rs.1600. «less

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T

Tripti 12/11/2016 in  Mathematics(Class IX-X Tuition),

If I invest Rs. 100 today and every quarter for 3 years in an account earning 11%, how much will I have at the end of three years?

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N

Natarajan 12/11/2016 in  Mathematics(Class IX-X Tuition),

Value an annuity of Rs.40 per year for ten years (r = 13%).

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A

Awdhesh 12/11/2016 in  Mathematics(Class IX-X Tuition),

All faces of a pyramid are always_________?

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A

Aparna 10/11/2016 in  Mathematics(Class IX-X Tuition),

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R

Rose replied | 03/12/2016

The equations represent Coincident lines.
Hence, a1/a2=b1/b2=c1/c2
i.e. 3/6=1/k=8/16
k=2.

Saurabh replied | 04/12/2016

For two lines to be coincident, the condition is that their ratios of coefficients should be 1. This satisfies only when k=2.

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A

Altaf 11/11/2016 in  Mathematics(Class IX-X Tuition),

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Rajendran replied | 24/11/2016

Given that x : y = 9 : 10.
(x/y) = (9/10).
now (5x + 3y) : (5x - 3y) = ?
Dividing both Nr and Dr by y we (5x/y + 3y/y)/5(x/y) - 3(y/y)
= [5(x/y) + 3]/[5(x/y) - 3(y/y)]
= [5(9/10) + 3]/5(9/10) - 3]
=[(45/10) + 3]/[(45/10) - 3].
taking LCM on Nr. and Dr., we get:-
=[(45 + 30)/10]/(45 - 30)/10
= (75/10)/(15/10)
= (75/10) * (10/15)
=75/15
=...  more»
Given that x : y = 9 : 10.
(x/y) = (9/10).
now (5x + 3y) : (5x - 3y) = ?
Dividing both Nr and Dr by y we (5x/y + 3y/y)/5(x/y) - 3(y/y)
= [5(x/y) + 3]/[5(x/y) - 3(y/y)]
= [5(9/10) + 3]/5(9/10) - 3]
=[(45/10) + 3]/[(45/10) - 3].
taking LCM on Nr. and Dr., we get:-
=[(45 + 30)/10]/(45 - 30)/10
= (75/10)/(15/10)
= (75/10) * (10/15)
=75/15
= 5.
Therefore (5x +3y) : (5x - 3y) = 5 : 1. «less

Sarvajeet replied | 06/12/2016

5:1.

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S

Saritha 11/11/2016 in  Mathematics(Class IX-X Tuition),

Dinesh bought an article for Rs 374, which included za discount of 15% on the marked price and a sales tax of 10% on the reduced price. Find the marked price of the article?

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Muhammad Nisaj replied | 20/11/2016

Bought Price = 374
Bought price included 10% tax
So Bought price = Reduced price + 10% sales tax
Let R is the reduced price
So bought price=374=R+10 % of R
=R x 1.1
Therefore R=374/1.1= 340
discount is 15 %. That means reduced price is 85% of marked price. Let M be the marked price
R= 85 % of M
R=0.85M
M=R/0.85
=340/0.85=400

The...  more»
Bought Price = 374
Bought price included 10% tax
So Bought price = Reduced price + 10% sales tax
Let R is the reduced price
So bought price=374=R+10 % of R
=R x 1.1
Therefore R=374/1.1= 340
discount is 15 %. That means reduced price is 85% of marked price. Let M be the marked price
R= 85 % of M
R=0.85M
M=R/0.85
=340/0.85=400

The Marked price of the article is found to be Rs 400. «less

Anil replied | 20/11/2016

Marked price x: 85 x 1.1= 374

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S

Suresh 11/11/2016 in  Mathematics(Class IX-X Tuition),

John bought a printing machine for Rs. 5136, which includes sales tax. If the listed price of the printing machine is Rs. 4800. What was the rate of sales tax?

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Nitish replied | 28/11/2016

Amount of Sales Tax = 5136-4800 = 336
Rate of Sales Tax = (336/4800 )X100 = 7%

Rajendran replied | 29/11/2016

Buying Price of printing machine = Rs. 5136,00
listed price of printing machine = Rs. 4800.00
sales tax paid = Rs (5136 - 4800) = Rs. 336
Rate of sales tax = (336/4800) * 100 = 7%

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T

Taj 11/11/2016 in  Mathematics(Class IX-X Tuition),

Find the marked price of a motorbike which is bought at \$ 36300 after paying a sales tax at the rate of 10%?

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Saurabh replied | 04/12/2016

Sales tax is always charged on selling price. Therefore, 36300/1.1 = Rs. 33,000.

Rajendran replied | 06/12/2016

Let the marked price of motorbike = \$ 100
Sales tax = 10%
= 100 + 100 * 10/100
= \$100 +Rs.10
= \$ 110
If \$110 is the sales price, then the marked price is...  more»
Let the marked price of motorbike = \$ 100
Sales tax = 10%
= 100 + 100 * 10/100
= \$100 +Rs.10
= \$ 110
If \$110 is the sales price, then the marked price is \$100
If \$ 36300 is the sales price, then the marked price is (100/110) * 36300.
Marked price of Motorbike = \$ 33000. «less

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S

S. 11/11/2016 in  Mathematics(Class IX-X Tuition),

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Ram Mohan replied | 28/11/2016

Given that A:B = 4:5, B:C = 6:7 and C:D = 14:15.
Therefore, A/B =4/5; B/A = 6/7; C/D = 14/15 We can write A/D as A/D = A/B * B/C *C/D = 4/5 * 6/7 * 14/15 = 16/25
Thus, A : D = 16 : 25.

Sarvajeet replied | 06/12/2016

16:25.

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