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If ₹80 amounts to ₹140 in 4 years, what will ₹96 amount to in 10 years at the same rate of interest per annum? - Mathematics

MCQ

If ₹80 amounts to ₹140 in 4 years, what will ₹96 amount to in 10 years at the same rate of interest per annum?

Options

  • ₹ 276

  • ₹ 306

  • ₹ 386

  • ₹ 300

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Solution

₹ 276

Explanation:

case I

When P = 80, A = 140, SI = 140 − 80 = 60, R = ?, T = 4

`"R"=(60xx100)/(80xx4)=75/4%`........`("R"=("SI"xx100)/("P"xx"T"))`

Case II

P = 96, R =`75/45%`, T = 10, SI = ?, A = ?

`"SI"=96/100xx(75xx10)/4=180`

A = 180 + 96 = 276

Concept: Simple and Compound Interest
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