Paper 1 · Mathematical Reasoning and Aptitude
Rajinder divided Rs 1301 between his sons Santa and Banta, who invested it at 4% annual compound interest. Each son received the same amount after 17 and 19 years respectively. How much was given to Banta?
ARs 705
BRs 615
CRs 676
DRs 625 ✓ Correct
Correct answer: (D) Rs 625 — Banta was given Rs 625, so that is the answer.
Explanation
★Banta was given Rs 625, so that is the answer.
★Let Santa's share be S for 17 years and Banta's be B for 19 years.
★Since the final amounts are equal, S times 1.04 to the power 17 equals B times 1.04 to the power 19.
★So S divided by B equals 1.04 squared, which is 1.0816.
★With S plus B equal to 1301 and S equal to 1.0816 B, we get 2.0816 B equal to 1301.
★So B is 625, meaning Banta was given Rs 625.
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