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Rahul earns an income of rupees 1200 when he put rupees 3000 at R% per annum and rupees 4500 at one percent higher than previous. He invests for a period of 5 years. Find the rates of interest
- a)39/25 and 63/25
- b)38/25 and 64/25
- c)13/5 and 18/5
- d)39/25 and 44/25
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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Rahul earns an income of rupees 1200 when he put rupees 3000 at R% per...
Answer – c) 13/5 and 18/5 Explanation : 1200 = 3000*(r/100)*5 + 4500*(r+1/100)*5 r = 13/5% and r+1 = 18/5%
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Rahul earns an income of rupees 1200 when he put rupees 3000 at R% per...
To find the rates of interest, let's solve the problem step by step:
Step 1: Calculate the interest earned on the first investment of rupees 3000.
- Principal amount (P) = Rupees 3000
- Time period (T) = 5 years
- Let the rate of interest (R) be in percentage
- Interest earned (I) = Principal amount (P) * Rate of interest (R) * Time period (T) / 100
- I = 3000 * R * 5 / 100
- I = 150R
Step 2: Calculate the interest earned on the second investment of rupees 4500, which is 1% higher than the previous rate.
- Principal amount (P) = Rupees 4500
- Time period (T) = 5 years
- Rate of interest (R) = Previous rate + 1% = R + 1
- Interest earned (I) = Principal amount (P) * Rate of interest (R) * Time period (T) / 100
- I = 4500 * (R + 1) * 5 / 100
- I = 225(R + 1)
Step 3: Total income earned by Rahul is rupees 1200.
- Total income = Interest earned on the first investment + Interest earned on the second investment
- 1200 = 150R + 225(R + 1)
- 1200 = 150R + 225R + 225
- 1200 = 375R + 225
- 375R = 1200 - 225
- 375R = 975
- R = 975 / 375
- R = 13/5
Step 4: Calculate the second rate of interest (R + 1)
- R + 1 = 13/5 + 1
- R + 1 = 13/5 + 5/5
- R + 1 = 18/5
Therefore, the rates of interest are 13/5 and 18/5, which corresponds to option 'C'.
Step 1: Calculate the interest earned on the first investment of rupees 3000.
- Principal amount (P) = Rupees 3000
- Time period (T) = 5 years
- Let the rate of interest (R) be in percentage
- Interest earned (I) = Principal amount (P) * Rate of interest (R) * Time period (T) / 100
- I = 3000 * R * 5 / 100
- I = 150R
Step 2: Calculate the interest earned on the second investment of rupees 4500, which is 1% higher than the previous rate.
- Principal amount (P) = Rupees 4500
- Time period (T) = 5 years
- Rate of interest (R) = Previous rate + 1% = R + 1
- Interest earned (I) = Principal amount (P) * Rate of interest (R) * Time period (T) / 100
- I = 4500 * (R + 1) * 5 / 100
- I = 225(R + 1)
Step 3: Total income earned by Rahul is rupees 1200.
- Total income = Interest earned on the first investment + Interest earned on the second investment
- 1200 = 150R + 225(R + 1)
- 1200 = 150R + 225R + 225
- 1200 = 375R + 225
- 375R = 1200 - 225
- 375R = 975
- R = 975 / 375
- R = 13/5
Step 4: Calculate the second rate of interest (R + 1)
- R + 1 = 13/5 + 1
- R + 1 = 13/5 + 5/5
- R + 1 = 18/5
Therefore, the rates of interest are 13/5 and 18/5, which corresponds to option 'C'.
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Rahul earns an income of rupees 1200 when he put rupees 3000 at R% per annum and rupees 4500 at one percent higher than previous. He invests for a period of 5 years. Find the rates of interesta)39/25 and 63/25b)38/25 and 64/25c)13/5 and 18/5d)39/25 and 44/25e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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