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# If ₹ 3,750 Amount to ₹ 4,620 in 3 Years at Simple Interest. Find: (I) the Rate of Interest (Ii) the Amount of Rs. 7,500 in 5 1/2 Years at the Same Rate of Interest - Mathematics

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Sum

If ₹ 3,750 amount to ₹ 4,620 in 3 years at simple interest. Find:
(i) the rate of interest
(ii) the amount of Rs. 7,500 in 5 1/2 years at the same rate of interest

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#### Solution

(i) A = Rs.4620

P = Rs.3750

I = A − P = Rs.4620 − Rs.3750 = Rs.870

T = 3 years

"R"=(100xx"I")/("P"xx"T")=(100xx870)/(3750xx3)=(100xx290)/3750=(4xx29)/15

=116/15=7 11/15%

(ii) P = Rs.7500

R = 116/15%

T =5 1/2 years = 11/2 years

Interest =("P"xx"T"xx"R")/100

= Rs.(7500xx11xx116)/(2xx15xx100)=(250xx116xx11)/ 100

= 10 × 29 × 11 = 290 × 11 = Rs.3190

Amount = Rs.7500 + 3190 = Rs.10,690

Concept: Concept of Principal, Interest, Amount, and Simple Interest
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#### APPEARS IN

Selina Concise Mathematics Class 8 ICSE
Chapter 9 Interest
Exercise 9 (B) | Q 2 | Page 108
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