Question

19. In what time will Rs 8400 amount to Rs 10080 at 8% per annum.​

Answer 1

Answer:

In 2.5 years

Step-by-step explanation:

interest amount =

$10080 - 8400 = 1680$

Then

$8400 \times 8x \div 100 = 1680$

$8400 \times 8x = 168000$

$8x = 168000 \div 8400 = 20$

$x = 20 \div 8 = 2.5$

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Answer 2

SOLUTION

TO DETERMINE

The time when Rs 8400 amount to Rs 10080 at 8% per annum.

EVALUATION

Principal = P = Rs. 8400

Amount = Rs. 10080

Interset = I = Rs. 10080 - Rs. 8400 = Rs. 1680

Rate of interest = r% = 8%

Time = t years = ?

So by the given condition

$\displaystyle \sf{ I = \frac{Prt}{100} }$

$\displaystyle \sf{ \implies 1680 = \frac{8400 \times 8 \times t}{100} }$

$\displaystyle \sf{ \implies 1680 = 84 \times 8 \times t }$

$\displaystyle \sf{ \implies t = 2.5}$

FINAL ANSWER

Hence the required time = 2.5 years

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