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Maharashtra State BoardSSC (English Medium) 7th Standard

Lataben Borrowed Some Money from a Bank at a Rate of 10 P.C.P.A. Interest for 2 1/2 Years to Start a Cottage Industry. If She Paid 10250 Rupees as Total Interest, How Much Money Had She Borrowed?

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Question

Lataben borrowed some money from a bank at a rate of 10 p.c.p.a. interest for `2 1/2` years to start a cottage industry. If she paid 10250 rupees as total interest, how much money had she borrowed?

Sum
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Solution

Given:

Total interest (I) = 10250 rupees

Rate of interest (R) = 10%

Time (T) = `2 1/2` yrs = `5/2`

Principal (P) = ?

Formula:

Interest = `("P" xx "R" xx "T")/100`

Solution:

10250 = `("P" xx 10 xx 5/2)/100`

10250 = `("P" xx 10 xx 5)/(100 xx 2)`

P = `(10250 xx 100 xx 2)/(10 xx 5)`

P = `10250 xx 2 xx 2`

P = 10250 × 4

P = 41000

∴ Lataben borrowed ₹41000 from the bank.

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Chapter 10: Banks and Simple Interest - Practice Set 41 [Page 74]

APPEARS IN

Balbharati Mathematics [English] Standard 7 Maharashtra State Board
Chapter 10 Banks and Simple Interest
Practice Set 41 | Q 4 | Page 74
Balbharati Mathematics Integrated [English] Standard 7 Maharashtra State Board
Chapter 10 Banks and Simple Interest
Practice Set 41 | Q 4. | Page 52

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