Question

A borrowed * 2,500 from B at 12% per
annum compound interest. After 2 years, A
gave 2.936 and a watch to B to clear the
account. Find the cost of the watch.​

Answer 1

Answer:

Rs.200

Step-by-step explanation:

Given :-

A borrowed Rs.2500 from B at 12 % per annum (compound interest), A gave Rs.2936 and a watch to B to clear the account.

To find :-

Cost of the watch.

Solution :-

Principal (P) = Rs.2500

Rate of interest (R) = 12 % per annum

Time period (T) = 2 years

Amount = P(1 + R/100)ᵀ

Substituting we get,

Amount = 2500(1 + 12/100)²

Amount = 2500 × 112/100 × 112/100

Amount = 2500 × 1.12 × 1.12

Amount = 3136

∴ Amount he gave = Rs.3136

Cost of watch = 3136 - 2936

∴ Cost of watch = Rs.200

Answer 2

✬ Watch = Rs 200 ✬

Step-by-step explanation:

Given:

• A borrowed 2500 from B.
• Rate of interest per annum is 12%.
• Time period is 2 years.
• A gave 2936 and watch as amount to B.

To Find:

• What is the cost of the watch ?

Solution: Let the cost of watch be Rs x. Here we have

• Principal (p) = 2500

• Rate (R) = 12 %.

• Time (ⁿ) = 2 years

As we know that

★ Amount = P × ( 1 + R/100)ⁿ ★

$\implies{\rm }$ A = 2500 × ( 1 + 12/100 )²

$\implies{\rm }$ 2500 × 112/100 × 112/100

$\implies{\rm }$ 25 × 112 × 28/25

$\implies{\rm }$ 112 × 28

$\implies{\rm }$ 3136

So the total amount is Rs 3136.Now , A paid Rs 2936 and a watch.

➟ Amount = 2936 + x

➟ 3136 – 2936 + x

➟ 200 = x

Hence, the cost of watch is rs 200.