Math, asked by nutanjha403, 9 months ago

Shyam purchased a television set for which he had to pay 4000 as down payment and then 300.50 for 8 months . find the cost of the television set​

Answers

Answered by DANUSH2007
0

Answer:

Given,

Principal = Rs 7500

Equal monthly instalment of Rs 1000 for 5 months

Then Rs 3000 down as payment

Total amount to be paid = 1000*5+3000=Rs 8000

Interest charged = A - P= 8000-7500 = Rs 500

time = 6 months or 1/2 year

rate of interest per annum = r%

By the formula,

I = (P* r * T)*/100

=>500 = 7500 * r * 1/2 * 1/100

=>500 = 37.5 * r

=> r = 500/37.5

Rate of interest per annum charged under the instalment plan = 13.33% (Ans)

Step-by-step explanation:

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Answered by Anonymous
0

Answer:

48%

Step-by-step explanation:

Solution :-

The principal amount got as loan = MRP - Cash down payment

= 7500 - 3000 = Rs.4500

As the sum of Rs. 4500 has to be returned in 5 equal monthly installments, the payment of principal to be made will end on the completion of five months, Rs, 1000 being for every month.

The Principal for the 1st month = Rs. 4500

The Principal for the 2nd month = Rs. 3500

The Principal for the 3rd month = Rs, 2500

The Principal for the 4th month = Rs. 1500

The principal for the 5th month = Rs. 500

Thus the one month equivalent sum = 4500 + 3500 + 2500 + 1500 + 500

= Rs, 12500  

As this sum of Rs. 4500 has to be paid in 5 monthly installments of Rs. 1000 each, the amount (Principal + Interest) will be Rs. 5000 and the interest to be paid = 5000 - 4500 = Rs. 500

Now, the Principal (equivalent to one month) = Rs. 12500

Amount of Interest = Rs. 500

Time = 1 month = 1/12 years (As the Principal has been converted equivalent to one month)

So, Rate of Interest = (100*Amount of Interest)/(Principal*Time)

⇒ (100*500)/(12500*1/12)

⇒ (50000)/12500/12

⇒ (50000*12)/12500

⇒ 600000/12500

= 48 %

So, the rate of interest is 48 %Solution :-

The principal amount got as loan = MRP - Cash down payment

= 7500 - 3000 = Rs.4500

As the sum of Rs. 4500 has to be returned in 5 equal monthly installments, the payment of principal to be made will end on the completion of five months, Rs, 1000 being for every month.

The Principal for the 1st month = Rs. 4500

The Principal for the 2nd month = Rs. 3500

The Principal for the 3rd month = Rs, 2500

The Principal for the 4th month = Rs. 1500

The principal for the 5th month = Rs. 500

Thus the one month equivalent sum = 4500 + 3500 + 2500 + 1500 + 500

= Rs, 12500  

As this sum of Rs. 4500 has to be paid in 5 monthly installments of Rs. 1000 each, the amount (Principal + Interest) will be Rs. 5000 and the interest to be paid = 5000 - 4500 = Rs. 500

Now, the Principal (equivalent to one month) = Rs. 12500

Amount of Interest = Rs. 500

Time = 1 month = 1/12 years (As the Principal has been converted equivalent to one month)

So, Rate of Interest = (100*Amount of Interest)/(Principal*Time)

⇒ (100*500)/(12500*1/12)

⇒ (50000)/12500/12

⇒ (50000*12)/12500

⇒ 600000/12500

= 48 %

So, the rate of interest is 48 %

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