Math, asked by Anonymous, 10 months ago

plzz solve my question................​

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Answers

Answered by Anonymous
5

ANSWER:-

Given:

A scooty is sold by an automobile agency for Rs.19200 cash or for 4800 down payment together with five equal monthly installments.If the rate of interest charged by the company is 12% p.a.

To find:

Find each installment?

Solution:

⏺️Cash price=Rs.19200

⏺️Down payment=Rs.4800

⏺️Number of installment= 5

⏺️Rate = 12% per annum.

So,

Remaining Balance=Rs.19200 - Rs.4800

=) Rs.14400

Let installment be x.

Therefore,

Interest paid= 5x-14400.........(1)

Principal for 1st month=Rs.14400

Principal for 2nd month=Rs.14400-x

Principal for 3rd month= Rs.14400-2x

Principal for 4th month= Rs.14400-3x

Principal for 5th month= Rs.14400-4x

Total = Rs.72000 - 10x

Therefore,

interest =  \frac{(72000 - 10x) \times 12 \times 1}{100 \times 12} ............(2) \\ Therefore \\  =  > From \: (1) \: and \: (2) \: ,we \: get; \\  \\  =  >  \frac{(72000 - 10x) \times 12 \times 1}{100 \times 12}  = 5x - 14400 \\  \\  =  > (72000 - 10x) = 500x - 1440000 \\  \\  =  > 500x + 10x = 72000 + 1440000 \\  \\  =  > 510x = 1512000 \\  \\  =  > x =  \frac{1512000}{510}  \\  \\   =  > x =  \frac{50400}{17}  \\  \\  =  > x = 2964.70

Hence,

Each installment is Rs.2964.7.

Option (b)✓

Hope it helps ☺️

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