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

Arun lent ₹ 5,000 to Balaji for 2 years and ₹ 3,000 to Charles for 4 years on simple interest at the same rate of interest and received ₹ 2,200 in all from both of them a

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प्रश्न

Arun lent ₹ 5,000 to Balaji for 2 years and ₹ 3,000 to Charles for 4 years on simple interest at the same rate of interest and received ₹ 2,200 in all from both of them as interest. Find the rate of interest per year

बेरीज
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उत्तर

Principal lent to Balaji P1 = ₹ 5000

Time n1 = 2 years

Let r be the rate of interest per year

Simple interest got from Balaji = `"Pnr"/100`

⇒ I1 = `(5000 xx 2 xx "r")/100`

Again principal let to Charles P2 = ₹ 3000

Time (n2) = 4 years

Simple interest got from Charles (I2) = `(3000 xx 4  xx "r")/100`

Altogether Arun got ₹ 2200 as interest.

∴ I1 + I2 = 2200

`(5000 xx 2 xx "r")/100 + (3000 xx 4 xx "r")/100` = 2200

100r + 120r = 2200

220r = 2200

r = `2200/220`

r = 10%

Rate of interest per year = 10%

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पाठ 2: Percentage and Simple Interest - Exercise 2.5 [पृष्ठ ४६]

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सामाचीर कलवी Mathematics - Term 3 [English] Class 7 TN Board
पाठ 2 Percentage and Simple Interest
Exercise 2.5 | Q 26 | पृष्ठ ४६

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