A borrowed a sum of Rs.9000 from B at the rate of 15% for 2 years. A, then added some more money to the borrowed sum and lent it to C at the rate of 20% of simple interest for 3 years. If A gained Rs.4500 in the whole transaction, then what sum did he lend to C?

Rs. 12000
Rs. 9000
Rs. 18000
Rs. 15000
Rs. 14000

LohaHridoy

14 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 1 : Rs. 12000

Given:

Amount borrowed by A from B = Rs. 9000 at the rate of 15% for 2 years

A added some more money yo the borrowed sum and lent it to C at 20% for 3 years

Gain of A in the whole transaction = Rs. 4500

Formula used:

S.I = PRT/100

Where, P = Principal,

R = Rate%

T = Time

Calculation:

S.I on amount borrowed by A = Rs. (9000 × 15 × 2)/100 = Rs. 2700

Let amount lent by A to C be Rs. x

So, S.I on lent money to C = Rs. (x × 20 × 3)/100 = Rs. 3x/5

According to the question,

(3x/5) – 2700 = 4500

⇒ 3x/5 = 7200

⇒ x = Rs. 12,000

∴ A lent Rs. 12,000 to C

14 views Answered 2022-09-04 04:29

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