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Answer 1

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The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.The number which we divide is called the dividend. The number by which we divide is called the divisor. The result obtained is called the quotient. The number left over is called the remainder.Maharashtra State Board

HSC Commerce (Marketing and Salesmanship) 12th Board Exam

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If Dorbish-Bowley's and Fisher's Price Index Numbers are 5 and 4, respectively, then find Laspeyre's and Paasche's Price Index Numbers.

SOLUTION

Let Laspeyre’s Price Index Number P01(L) = x

and Paasche’s Price Index Number P01(P) = y

Dorbish-Bowley’s Price Index Number P01(D-B) = 5 Fisher’s Price Index Number P01(F) = 4

`("P"_01("L") "P"_01("P"))/(2)` = P01(D–B)

∴ `(x + y)/(2)` = 5

∴ x + y = 10 ...(i)

`sqrt("P"_01("L") xx "P"_01("P")` = P01(F)

∴ `sqrt(xy)` = 4

∴ xy = 16

∴ y = `(16)/y`

∴ `x + (16)/x` = 10 ...[From (i)]

∴ x2 + 16 = 10x

∴ x2 – 10x + 16 = 0

∴ x – 8x – 2x + 16 = 0

∴ x(x – 8) –2(x – 8) = 0

∴ (x – 2) (x – 8)

∴ x = 2 or x = 8

If x = 2, then from equation (i), y = 8

If x = 8, then from equation (i), y = 2

∴ P01(L) = 8 and P01(P) = 2

or P01(P) = 8 and P01(L) = 2

Answer 2

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