Ashish has ₹1,218 with him. He divides it amongst his sons Arun and Mahesh and asks them to invest it at 10% rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 11 and 12 years, respectively. How much (in ₹) did Ashish give to Mahesh?

430

580

638

738

APEDIA

RRB NTPC Graduate Tier 1

2025 • 06 Jun, 2025 • Shift-2

Ashish has ₹1,218 with him. He divides it amongst his sons Arun and Mahesh and asks them to invest it at 10% rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 11 and 12 years, respectively. How much (in ₹) did Ashish give to Mahesh?

Correct Answer

580

Formulating the Equation: Let Arun's principal be P1 and Mahesh's be P2. Given P1 + P2 = 1218. The amounts they receive are equal: P1 × (1 + 10/100)^11 = P2 ×......

💡 Analysis & Explanation

Formulating the Equation ▼

Let Arun's principal be P1 and Mahesh's be P2. Given P1 + P2 = 1218. The amounts they receive are equal: P1 × (1 + 10/100)^11 = P2 × (1 + 10/100)^12.

Simplifying the Relationship ▼

Dividing both sides by the 11th power yields P1 = P2 × (1.1). This implies Arun's share is 1.1 times Mahesh's share.

Solving for the Value ▼

Substitute P1 into the sum equation: 1.1 P2 + P2 = 1218, which gives 2.1 P2 = 1218. Therefore, P2 = 1218 / 2.1 = 12180 / 21 = 580.

Conclusion ▼

Mahesh received ₹580.

Choose Language

See you soon!

Ashish has ₹1,218 with him. He divides it amongst his sons Arun and Mahesh and asks them to invest it at 10% rate of interest compounded annually. It was seen that Arun and Mahesh got same amount after 11 and 12 years, respectively. How much (in ₹) did Ashish give to Mahesh?