Question

e) None of these
4 merchant borrowed Rs 2500 from two money lenders. For one loan he paid 12% p.a. and forth
ther 14% p.a. The total interest paid for one year was Rs 326. How much did he borrow at each rat
a) 1250, 1250 (b) 1150, 1350 (c) 1200, 1300 (d) 1100, 1400
e) None of these
1
solve it by alligation method​

Answer 1

Answer:

(c) 1200, 1300

Step-by-step explanation:

P₁ + P₂ = ₹2500

R₁ = 12% pa

R₂ = 14% pa

I₁ + I₂ = ₹326

T = 1 year

I₁ + I₂ = (P₁×R₁×T)/100 + (P₂×R₂×T)/100

⇒ 326 = [P₁×12 + (2500-P₁)×14]/100

⇒ 32600 = 12P₁ + 35000 - 14P₁

⇒ 2P₁ = 2400

⇒ P₁ = ₹1200

⇒ P₂ = 2500-1200 = ₹1300

Note:

I don't remember any method of alligation. But this method seems to be the most appropriate.