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What Principal Will Amount to Rs.15729 in Two Years, If the Rate of Interest for Successive Years Are 5% and 7% Respectively, the Interest is Being Compounded Annually. - Mathematics

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प्रश्न

What principal will amount to Rs.15729 in two years, if the rate of interest for successive years are 5% and 7% respectively, the interest is being compounded annually.

योग
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उत्तर

Given : Amount = Rs.15729, n = 2 years, r1 = 5 and r2 = 7%

A = `"P"(1 + "r"_1/100)(1 + "r"_2/100)`

⇒ 15729 = `"P"(1 + 5/100)(1 + 7/100)`

⇒ 15729 = `"P"(105/100)(107/100)`

⇒ P = `(15729 xx 100 xx 100)/(105 xx 107)`

⇒ P = Rs.14000.

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Concept of Compound Interest - Use of Compound Interest in Computing Amount Over a Period of 2 Or 3-years
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Compound Interest - Exercise 3.2

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फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 3 Compound Interest
Exercise 3.2 | Q 14

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