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vaibhav

· started a discussion

· 1 Months ago

please provide paramount solution which is rather easy

Question:
A mixi is marked at Rs. 1000 cash or Rs. 250 cash down payment followed by Rs. 200 a month for 4 months. The rate of interest for this installment plan will be :
Options:
A) 33\(\cfrac{1}{3}\)% p.a.
B) 45\(\cfrac{1}{15}\)% p.a.
C) 43\(\cfrac{1}{13}\)% p.a.
D) 44\(\cfrac{1}{14}\)% p.a.
Solution:
Ans: (a)

cash price = Rs 1000

Cash down payment = Rs 250

  Amount paid in 4 monthly installment = Rs (200 x 4) = Rs800

.-. Total amount paid under installment plan =Rs800 +250= 1050

.'. Interest charged = Rs 1050 - Rs 1000 = Rs 50

Principal for 1 st month = Rs1000 - Rs 250 = Rs 750

 Principal for 2nd month = Rs 750 - Rs 200 = Rs550

 Principal for 3rd month = Rs 550 - Rs 200 = Rs 350

 Principal for 4th month = Rs 350 - Rs 200 = Rs 150

Total principal on which interest is charged for a month =  Rs. 1800

I= (p*r*t)/100

50= (1800*r*1/12)/100

R= 100/3= 33\(\frac{1}{3}\)

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