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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ७

In how much time will the simple interest on ₹ 3,000 at the rate of 8% per annum be the same as simple interest on ₹ 4,000 at 12% per annum for 4 years? - Mathematics

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प्रश्न

In how much time will the simple interest on ₹ 3,000 at the rate of 8% per annum be the same as simple interest on ₹ 4,000 at 12% per annum for 4 years?

बेरीज
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उत्तर

Let the required number of years be x

Simple Interest I = `"Pnr"/100`

Principal P1 = ₹ 3000

Rate of interest (r) = 8%

Time (n1) = n1 years

Simple Interest I1 = `(3000 xx 8 xx "n"_1)/100` = 240 n1

Principal (P2) = ₹ 4000

Rate of interest (r) = 12%

Time n2 = 4 years

Simple Interest I2 = `(4000 xx 12 xx 4)/100`

I2 = 1920

If I1 = I2 

240 n1 = 1920

n1 = `1920/240`

= 8

∴ The required time = 8 years

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पाठ 2: Percentage and Simple Interest - Exercise 2.5 [पृष्ठ ४५]

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सामाचीर कलवी Mathematics - Term 3 [English] Class 7 TN Board
पाठ 2 Percentage and Simple Interest
Exercise 2.5 | Q 13 | पृष्ठ ४५

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