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
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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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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