Question

If abhav lent 1400to divya for3years at certain rate of simple Intrest and 900to chetan for same time at the same time at the same rate. If he gets 60rs less from chetan then that from high.,then the rate percent is

Answer 1

Answer: R = 15%

Explanation:

Given that,

S.I = (P × R × T)/100

⇒ 700 = (1400 × R × 40)/(100 × 12)

∴ R = 15%

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Answer 2

Answer:

Thus, the rate of interest is 15%.

Explanation:

Given - Loan to Divya - Principal amount = Rs. 1400
                                         Time = 3 years
             Loan to Chetan - Principal amount = Rs. 900
                                            Time = 3 years
             The amount returned by Chetan is Rs. 60 less than the amount returned by Divya.

To find - The rate of interest

Formula - $Simple\;interest = \frac{PRT}{100}$

Solution -

Loan to Divya,
$SI = \frac{PRT}{100} \\\\SI = \frac{(1400)R(3)}{100} \\\\SI = 42R$

Thus, Divya returns $Rs. 1400 + 42R$ to Abhav.

Loan to Chetan,

$SI = \frac{PRT}{100} \\\\SI = \frac{(900)R(3)}{100} \\\\SI = 27R$

Thus, Chetan returns $Rs. 900 + 27R$ to Abhav.

We are also given that $(1400+42R) - (900+27R) = 60$

We can further solve this as

$(1400-900) + (42R-27R) = 60\\500 + 15R = 60\\15R = 1$

Thus, R = 15%, i.e., the rate of interest is 15%.

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