Raju lends Rs. 3000 to Bharath and a certain sum to charan at the same time at 6% per nanum simple interest. If after 5 years, Raju altogether there receive Rs. 1650as interest from bharath and charan, what is the sum lent to charan
Answers
Given :- Raju lends Rs. 3000 to Bharath and a certain sum to Charan at the same time at 6% per annum simple interest. If after 5 years, Raju altogether receives Rs.1650 as interest from Bharath and Charan, what is the sum lends to Charan ?
Solution :-
Case 1) :- sum Lends to Bharath .
→ P = Rs.3000
→ Rate = 6% per annum.
→ Time = 5 years.
→ SI = (P * R * T) / 100
→ SI = (3000 * 6 * 5) / 100
→ SI = 30 * 30
→ SI = Rs.900
So, Raju recieved Rs.900 as interest from Bharath.
Case 2) :- Let sum lends to Charan is Rs.x .
→ P = Rs. x
→ Rate = 6% per annum.
→ Time = 5 years.
→ SI = (P * R * T) / 100
→ SI = (x * 6 * 5) / 100
→ SI = 30x /100
→ SI = Rs.(3x/10)
So, Raju recieved Rs.(3x/10) as interest from Charan.
Now, given that, Raju altogether receives Rs.1650 as interest from Bharath and Charan.
Therefore,
→ 900 + (3x/10) = 1650
→ (3x/10) = 1650 - 900
→ (3x/10) = 750
→ 3x = 750 * 10
→ 3x = 7500
dividing both sides by 3,
→ x = Rs.2500 (Ans.)
Hence, Sum lends to Charan is Rs.2500 .
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