A sum of Rs. 7930 is divided into 3 parts and given at loan at 5% simple interest to A, B and C for 2, 3 and 4 years respectively. If the amounts of all three are equal after their respective periods of loan, then the A received a loan of = ?

Answer: Option D

According to the question,
$$\text{A}+\left(\frac{\text{A}\times \text{5}\times \text{2}}{\text{100}}\right)=$$     $$\text{B}+\left(\frac{\text{B}\times \text{5}\times \text{3}}{\text{100}}\right)=$$     $$\text{C}+\left(\frac{\text{C}\times \text{5}\times \text{4}}{\text{100}}\right)$$
    110A   =   115B   =   120C
      22A   =     23B   =   24X
Ratio of amount ( by using L.C.M. of 22, 23 and 24)
$$\begin{array}{rl}& \text{276 : 264 : 253}\\ & \text{A’s loan = }\frac{276}{793}\times \text{7930}\\ & \text{ = Rs}\text{. 2760}\end{array}$$