Question

Ramesh invested a certain amount in share market and gold in the ratio of 6 : 7 respectively. At the end of the year, he earned a total profit of 30% on his investment. After one year he reinvested the amount including profit in the ratio of 4 : 5 in share market and gold. If the amount reinvested in gold was Rs. 94,500/-.What was the original amount invested in gold?

1. Rs. 70,456
2. Rs. 70,000
3. Rs. 75,000
4. Rs. 84,000
5. None of these 

Answer 1

Correct Answer - Option 1 : Rs. 70,456

Given:

Ratio of amount invested in share market and gold is 6 : 7

Profit earned on the investment after one year is 30%

Ratio of amount reinvested in share market and gold is 4 : 5

Amount reinvested in gold is Rs. 94,500

Calculation:

Since the amount reinvested is in the ratio = 4 : 5

Then total amount reinvested,

⇒ (Amount of gold reinvested × total of ratio)/part of gold in ratio

⇒ (94,500 × 9)/5 = Rs. 1,70,100

Since there was a profit in this amount = 30%

So the Original amount,

⇒ (Total amount reinvested × 100)/130 = Rs. 130846

Original amount invested in gold,

⇒ (130846 × 7)/13

⇒ Rs. 70,455.53 ≈ Rs. 70,456

∴ Original amount invested in gold is Rs. 70,456