10:Mohan lent altogether 6,600 to Ram and Shyam for 2 years. Ram agreed to pay simple interest at 15 % p. a. and Shyam agreed to pay compound interest
at the same rate. If Ram paid Rs 112.50 more than Shyam as the interest, find
how much did he lend to each of them?

Mohan lent 3600 to Ram and 3000 to Shyam.

Step-by-step explanation:

Given that Mohan lent altogether 6,600 to Ram and Shyam for 2 years.

Let Mohan lent x to Ram and y to Shyam

x+y=6600

Or, x=6600-y ...(i)

As Ram  pays simple interest at 15 %=0.15 p.a, so, the interest paid by Ram in 2 years:

[by using (i)]

As Shyam  pays compound interest at 15 %=0.15 p.a,

so, the interest paid by Shyam in 2 years, C.I.= Final amount - Initial principal amount

As Ram paid Rs 112.50 more than Shyam as the interest, so by using equations (ii) and (iii),

From equations (i),

Hence, Mohan lent 3600 to Ram and 3000 to Shyam.

the solution is 12x-6y