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A

Apollo 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

Define compound interest?

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Shikha replied | 23/11/2016

Compound interest is the interest to the principal sum i.e., Compound interest = Principal of last year + Amount
Amount = (1+r%) to the power n, number of years.

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Preeti 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Compound Interest

If the simple interest on a sum of money for 2 years at rate 5% per annum is Rs. 50, What is the compound interest on the same rate and for the same time?

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Sarvajeet replied | 26/11/2016

Rs. 51.25.

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V

Vivekchettri 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

What do you mean by marked price, list price, discount?

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Chandan replied | 22/11/2016

Marked Price:
In big shops and departmental stores, every article is tagged with a card and its price is written on it. This is called the marked price of that article, abbreviated as MP.
For books, the printed price is the marked price.
List Price:
Items which are manufactured in a factory are marked with a price according to the list supplied by the factory,...  more»
Marked Price:
In big shops and departmental stores, every article is tagged with a card and its price is written on it. This is called the marked price of that article, abbreviated as MP.
For books, the printed price is the marked price.
List Price:
Items which are manufactured in a factory are marked with a price according to the list supplied by the factory, at which the retailer is supposed to sell them. This price is known as the list price of the article.
Discount:
In order to increase the sale or clear the old stock, sometimes the shopkeepers offer a certain percentage of rebate on the marked price. This rebate is known as discount. «less

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S

Sradha 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

What is the formula for calculating selling price if marked price and discount is given?

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Chilla Rajesh replied | 30/11/2016

S.P = M.P - Discount.

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G

Gopinath 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

A trade marks his goods at 40% above the cost price and allows a discount of 25%. What is the gain percent?

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Chilla Rajesh replied | 30/11/2016

5%

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P

Pratheema 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

A dealer purchased a washing machine for Rs 7660. He allows a discount of 12% on its marked price and still gains 10%. Find the marked price of the machine?

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Saurabh replied | 04/12/2016

Cost price of washing machine (w.m) = Rs. 7660.
Let mp of w.m be x therefore acc. to formula s.p will be = (100-discount)/100 * m.p.
Therefore s.p = 88/100 x and due to gain of 8 % c.p will be 88/100 x divided by 1.1.
Therefore, c.p will be 80/100 x which is equal to 7660 answer will be 9575.

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P

Poonam 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

What do you mean by successive discounts?

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Suyash replied | 19/11/2016

If on a commodity, discount is given by more than one time , then it is called as successive discount.
Ex - 5% then 10%.

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D

Disha 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

A vendor bought toffees at 6 for a rupee. How many for a rupee must he sell to gain 20%?

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T Raghavender replied | 25/11/2016

For 6 toffees 1 cost price to gain 20% profit he needs to sell 6 toffees for 1.2 rupee so selling price of each toffee is (1.2/6)=.2 rupee so for 1 rupee he sells( (5x0.2) =1) 5 choclates.

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S

Shubham 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

A man buys a cycle for Rs 1400 and sells it at a loss of 15%. What is the selling price of the cycle?

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Mahender replied | 23/11/2016

Rs. 1190.

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C

Chiranjib 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

Some articles were bought at 6 articles for Rs 5 and sold at 5 articles for Rs 6, then what is gain percent?

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Barkha replied | 07/12/2016

Profit= Sale price - Cost price.
Here, Cost price=5
Sale price=6
Profit=6-5
=1.
Profit%=(profit x 100)/cost price
=(1 x 100)/5
= 20%.

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B

Bivash 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

What is the relationship between profit and profit percentage?

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Shikha replied | 22/11/2016

Profit%= profit/cp *100

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R

Rakesh 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

What is the total gain or loss percent if a shopkeeper sells one transistor for Rs 840 at a gain of 20% and another for Rs 960 at a loss of 4%?

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Shambhavi replied | 07/12/2016

C.P=S.P/(1+loss/gain%)
Thus , C.P(1+/- loss/gain%)=S.P
In first case, we gain 20%, so cp(1+0.2)=S.P,
C.P(1.2)=840, solving which we get C.P as 700.
Now taking second case of loss of 4%,
Cp(1-0.04)=S.P, solving which we get C.P as 1000.
Now, total C.P =700+1000=1700, and total S.P as 840+960=1800
Thus, total gain is, (1800-1700)/1700*100=5.8% gain.

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R

Rakhi 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

What is the profit percent if a trader mixes 26 Kg of rice at Rs 20 per Kg with 30 Kg of rice of other variety at Rs 36 per Kg and sells the mixture at Rs 30 per kg?

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Saurabh replied | 07/12/2016

A trader bought two types of rice therefore total cost of 1st rice is : 26*20=520 and 2nd rice is 30*36=1080 total C.P of both rices is Rs. 1600.
Now SP of both rices (26+30)= 56 kg * 30 Rs/kg = Rs. 1680
therefore profit is S.P - C.P = 1680-1600 = Rs. 80 and Profit percent is Profit/C.P *100 = 80/1600 *100 = 5%. Ans. = 5%

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S

Sandeep 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Profit, Loss and Discount

A second hand car was sold for Rs 190000, at a loss of Rs 85. Find the C.P of the car?

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Shreyans replied | 08/12/2016

Rs. 190085.

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R

R.s.praveen 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

If x + y = 11 and x - y = 5. (Find the value of square of x) + (square of y)?

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Tapas replied | 28/11/2016

x + y = 11, x - y = 5. Adding, we get: 2x = 16, x = 8. So, y=3.
(sq of x) + (sq of y) = (sq of 8) + (sq of 3) = 64 + 9 = 73.

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Chandan replied | 05/12/2016

x + y = 11, x - y = 5. Subtracting these two equations , we get: 2y = 6, So, y=3 and by putting this y value in any one equation we get x = 8.
(sq of x) + (sq of y) = (sq of 8) + (sq of 3) = 64 + 9 = 73.

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A

Abishiek 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Use suitable identities to find the product: (x + 4) (x + 10)?

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D

Dinnu replied | 03/12/2016

Use ( x+ a)(x+b) identity.

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A

Anurag 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Factorise: 9(square of x) + 6 xy + (square of y)?

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Saurabh replied | 04/12/2016

(3x)^2 + 2*3x*1 + (1y)^2
A ^2 + 2*A *B + B ^2 IDENTITY Therefore a=3x and b=y
(3x+y)(3x+y) will be the answer.

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M

Meera replied | 04/12/2016

(3x+y)square.

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I

Issac 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Expand the given: [square of (x + 2y + 4z)]?

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Chandan replied | 22/11/2016

(square of x) + 4(square of y) + 16(square of z) + 4xy + 16yz + 8xz

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S

S 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Expand: [cube of (2 x + 1)]?

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S

Saba replied | 05/12/2016

(2x+1)^3.
Formula of (a+b)^3= a^3+b^3+3ab(a+b).
So, (2x)^3+1^3+3(2x*1)(2x+1).
=8x^3+1+6x(2x+1)
=8x^3+1+12x^2+6x
=8x^2+12x^2+6x+1.

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U

Uma 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Evaluate the identity: [cube of (99)]?

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Sreedevi replied | 07/12/2016

(a-b)^3 = a^3-3a^2b+3ab^2-b^3.
(99)^3 = (100 -1)^3.

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Shambhavi replied | 07/12/2016

(a+b)^3=a3 + 3a^2b + 3ab^2 + b^3,
thus, 99^3=(100-1)^3.
Taking 100 as a, and 1 as b, we can use the formula (a+b)^3 given above to expand and get the answer.

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P

Priya 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Factorise: 8(cube of a) + (cube of b) + 12 (square of a)(b) + 6(a)(square of b)?

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Mamata replied | 24/11/2016

8a^3+b^3+12(a^2)b +6a(b^2)
= (2a)^3+(b^3)+3 x( (2a)^2) (b) + 3 x (2a) x (b^2)
= ((2a+b)^3).
Cube of (2a+b).

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S

Sk 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

If x + y + z = 0, show that: (cube of x) + (cube of y) + (cube of z) = 3xyz?

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S

Saba replied | 05/12/2016

We know that, a 3 + b 3 + c 3 = (a + b + c)(a 2 + b 2 + c 2 - ab - bc - ca) + 3abc.
Substitute (a + b +c) = 0 in above equation:
=> a 3 + b 3 + c 3 = 0 x (a 2 + b 2 + c 2 - ab - bc - ca) + 3abc
=>a 3 + b 3 + c 3 = 3abc.

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N

Nagarunja 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Without actually calculating the cubes, find the value of: [cube of (-12)] + [cube of (7)] + [cube of (5)]?

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Sachin replied | 27/11/2016

=3*-12*7*5
=-1260

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Sreedevi replied | 02/12/2016

The given expression is in the form of (a+b+c)^3. As on adding a,b,c we are getting 0, we can apply the formula: If a+b+c = 0 then,
(a+b+c)^3 = 3 abc; On applying the above formula, we get (-12) ^3+(7)^3+(5)^3 = 3(-12)(7)(5) = - 1260.

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C

Chandramami 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

If (square of x) + (inverse square of x) = 102, evaluate x + (inverse of x)?

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Shambhavi replied | 07/12/2016

Squaring (x+1/x) , we get, (x^2+x^-2+2), but we know that x^2+x^-2 is equal to 102, thus (x+1/x)+2=102+2=104.

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M

Manmohan 09/11/2016 in  Class IX-X Tuition, Mathematics(Class IX-X Tuition), Expansions

Evaluate: (a - 0.1) (a + 0.1)?

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Neelabh Tiwari replied | 03/12/2016

Square of a - 0.01.

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Chandan replied | 05/12/2016

We know that, ( (Square of a)- (Square of b)) = (a+b)(a-b).
Hence, (Square of a - 0.01) (Ans).

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