Investment Split MCQ Quiz - Objective Question with Answer for Investment Split - Download Free PDF
Last updated on May 31, 2025
Latest Investment Split MCQ Objective Questions
Investment Split Question 1:
A total of ₹2,00,000 is divided into two parts for investing in different banks on simple interest. One yields 4% p.a. while the
other yields 6% p.a. If the total interest at the end of one year is equivalent to 4.7% p.a. on the whole amount, the amount (in
₹) invested in each bank is ________, respectively.
Answer (Detailed Solution Below)
Investment Split Question 1 Detailed Solution
Given:
Total amount = ₹2,00,000
Interest rates = 4% p.a. and 6% p.a.
Total interest equivalent = 4.7% p.a.
Formula Used:
Let the amount invested at 4% be ₹x
Then, the amount invested at 6% will be ₹(2,00,000 - x)
Total interest = Interest from 4% + Interest from 6%
Total interest = 4.7% of 2,00,000
Calculation:
Interest from 4% = x × 4/100
Interest from 6% = (2,00,000 - x) × 6/100
Total interest = x × 4/100 + (2,00,000 - x) × 6/100
Total interest = 4.7% of 2,00,000
4.7/100 × 2,00,000 = x × 4/100 + (2,00,000 - x) × 6/100
9,400 = 4x/100 + 6(2,00,000 - x)/100
9,400 = 4x/100 + 12,000 - 6x/100
⇒ 9,400 = 12,000 - 2x/100
⇒ 9,400 - 12,000 = -2x/100
⇒ -2,600 = -2x/100
⇒ 2,600 = 2x/100
⇒ 2,60,000 = 2x
⇒ x = 1,30,000
Amount invested at 4% = ₹1,30,000
Amount invested at 6% = ₹2,00,000 - ₹1,30,000 = ₹70,000
The amount invested in each bank is ₹1,30,000 and ₹70,000 respectively.
Investment Split Question 2:
Kiran lent ₹4,000 to two persons such that one part of it at the rate of 8% per annum and the remaining part at the rate of 10% per annum. He got an annual simple interest of ₹352. Then the sum lent at 10% is:
Answer (Detailed Solution Below)
Investment Split Question 2 Detailed Solution
Given:
Total amount lent = ₹4,000
Annual simple interest received = ₹352
Interest rate for one part = 8% per annum
Interest rate for remaining part = 10% per annum
Formula Used:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) / 100
Calculation:
Let the amount lent at 10% be ₹x.
Then, the amount lent at 8% will be ₹(4,000 - x).
SI for amount lent at 10% = x × 10 × 1 / 100 = 0.1x
SI for amount lent at 8% = (4,000 - x) × 8 × 1 / 100 = 0.08(4,000 - x)
According to the problem, the total interest received is ₹352.
So, 0.1x + 0.08(4,000 - x) = 352
⇒ 0.1x + 320 - 0.08x = 352
⇒ 0.02x = 32
⇒ x = 32 / 0.02
⇒ x = 1,600
The sum lent at 10% is ₹1,600.
Investment Split Question 3:
Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:
Answer (Detailed Solution Below)
Investment Split Question 3 Detailed Solution
Given:
Total amount = ₹18,000
Amount deposited in first bank = ₹7,000 at 5% per annum
Amount deposited in second bank = ₹6,000 at 6% per annum
Total interest received at the end of one year = ₹1,160
Formula Used:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) / 100
Calculation:
Interest from the first bank:
SI1 = ₹7,000 × 5 × 1 / 100
SI1 = ₹350
Interest from the second bank:
SI2 = ₹6,000 × 6 × 1 / 100
SI2 = ₹360
Total interest from first and second bank:
SI1 + SI2 = ₹350 + ₹360 = ₹710
Remaining interest to be earned from the rest of the capital:
Interest from rest of the capital = ₹1,160 - ₹710 = ₹450
Remaining capital:
Remaining capital = ₹18,000 - ₹7,000 - ₹6,000 = ₹5,000
Let the rate of interest for the remaining capital be R3% per annum.
Using the simple interest formula:
SI3 = ₹5,000 × R3 × 1 / 100
₹450 = ₹5,000 × R3 / 100
⇒ R3 = (₹450 × 100) / ₹5,000
⇒ R3 = 9%
The rate of interest per annum on the rest of the capital is 9%.
Investment Split Question 4:
A man invests a total sum of Rs. 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part at 15% simple interest per annum. If the total interest accrued to him in two years equals Rs. 2,400, the sum invested at 15% simple interest per annum is:
Answer (Detailed Solution Below)
Investment Split Question 4 Detailed Solution
Given:
Principal = Rs 10,000
Some part of money lent at 15%
Some part of it lent at 10%
Total interest earned = Rs. 2400
Time = 2 years
Formula Used:
Interest = (Principal × Rate × Time)/100
Calculation:
Let the money lent at 15% be x
Then money lent at 10% be (10,000 - x)
2400 = [(x × 15 × 2)/100] + [(10,000 - x) × 10 × 2]/100
⇒ 2400 = (3x/10) + [(10,000 - x)/5]
⇒ 2400 = (3x + 20,000 - 2x)/10
⇒ 24,000 = 20,000 + x
⇒ x = Rs 4,000
The sum invested at 15% simple interest per annum is 4000.
Shortcut TrickTotal S.I. on 10,000 = (10000 × 2 × R)/ 100 = 2400
R = 12%
Investment Split Question 5:
S deposits a total of ₹50,000 in two accounts which give 8% and 12% simple interest annually, respectively. After one year, he gets a total ₹5,200. How much money does he deposit in the account with a 12% interest rate?
Answer (Detailed Solution Below)
Investment Split Question 5 Detailed Solution
Given:
Principal (P) = Rs.50,000
First rate = 8%; second rate = 12%
Total simple interest (S.I) = Rs.5200
Formula used:
Simple interest (S.I) = (P × R × T)/100
Where P = principal; R = rate; T = time
Calculation:
Let the amount at 12% rate = x
then amount at 8% rate = (50,000 - x)
According to the question:
⇒ (50,000 - x) × 8% + x × 12% = 5200
⇒ (50,000 × 8%) - (x × 8%) + (x × 12%) = 5200
⇒ (x × 4%) = 5200 - 4000
⇒ x = (1200 × 100)/4 = Rs.30000
∴ The correct answer is Rs.30000.
Shortcut TrickCalculation:
Overall rate = (5200 × 100)/50000 = 52/5 = 10.4%
Now
Amount at 8% : Amount at 12% = 1.6 : 2.4
⇒ 2 : 3
⇒ 5 units = 50000
⇒ 3 units = (50000 × 3)/5 = Rs.30000
∴ The correct answer is Rs.30000.
Top Investment Split MCQ Objective Questions
A man invests a total sum of Rs. 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part at 15% simple interest per annum. If the total interest accrued to him in two years equals Rs. 2,400, the sum invested at 15% simple interest per annum is:
Answer (Detailed Solution Below)
Investment Split Question 6 Detailed Solution
Download Solution PDFGiven:
Principal = Rs 10,000
Some part of money lent at 15%
Some part of it lent at 10%
Total interest earned = Rs. 2400
Time = 2 years
Formula Used:
Interest = (Principal × Rate × Time)/100
Calculation:
Let the money lent at 15% be x
Then money lent at 10% be (10,000 - x)
2400 = [(x × 15 × 2)/100] + [(10,000 - x) × 10 × 2]/100
⇒ 2400 = (3x/10) + [(10,000 - x)/5]
⇒ 2400 = (3x + 20,000 - 2x)/10
⇒ 24,000 = 20,000 + x
⇒ x = Rs 4,000
The sum invested at 15% simple interest per annum is 4000.
Shortcut TrickTotal S.I. on 10,000 = (10000 × 2 × R)/ 100 = 2400
R = 12%
S deposits a total of ₹50,000 in two accounts which give 8% and 12% simple interest annually, respectively. After one year, he gets a total ₹5,200. How much money does he deposit in the account with a 12% interest rate?
Answer (Detailed Solution Below)
Investment Split Question 7 Detailed Solution
Download Solution PDFGiven:
Principal (P) = Rs.50,000
First rate = 8%; second rate = 12%
Total simple interest (S.I) = Rs.5200
Formula used:
Simple interest (S.I) = (P × R × T)/100
Where P = principal; R = rate; T = time
Calculation:
Let the amount at 12% rate = x
then amount at 8% rate = (50,000 - x)
According to the question:
⇒ (50,000 - x) × 8% + x × 12% = 5200
⇒ (50,000 × 8%) - (x × 8%) + (x × 12%) = 5200
⇒ (x × 4%) = 5200 - 4000
⇒ x = (1200 × 100)/4 = Rs.30000
∴ The correct answer is Rs.30000.
Shortcut TrickCalculation:
Overall rate = (5200 × 100)/50000 = 52/5 = 10.4%
Now
Amount at 8% : Amount at 12% = 1.6 : 2.4
⇒ 2 : 3
⇒ 5 units = 50000
⇒ 3 units = (50000 × 3)/5 = Rs.30000
∴ The correct answer is Rs.30000.
Investment Split Question 8:
A man invests a total sum of Rs. 10,000 in a company. A part of the sum was invested at 10% simple interest per annum and the remaining part at 15% simple interest per annum. If the total interest accrued to him in two years equals Rs. 2,400, the sum invested at 15% simple interest per annum is:
Answer (Detailed Solution Below)
Investment Split Question 8 Detailed Solution
Given:
Principal = Rs 10,000
Some part of money lent at 15%
Some part of it lent at 10%
Total interest earned = Rs. 2400
Time = 2 years
Formula Used:
Interest = (Principal × Rate × Time)/100
Calculation:
Let the money lent at 15% be x
Then money lent at 10% be (10,000 - x)
2400 = [(x × 15 × 2)/100] + [(10,000 - x) × 10 × 2]/100
⇒ 2400 = (3x/10) + [(10,000 - x)/5]
⇒ 2400 = (3x + 20,000 - 2x)/10
⇒ 24,000 = 20,000 + x
⇒ x = Rs 4,000
The sum invested at 15% simple interest per annum is 4000.
Shortcut TrickTotal S.I. on 10,000 = (10000 × 2 × R)/ 100 = 2400
R = 12%
Investment Split Question 9:
S deposits a total of ₹50,000 in two accounts which give 8% and 12% simple interest annually, respectively. After one year, he gets a total ₹5,200. How much money does he deposit in the account with a 12% interest rate?
Answer (Detailed Solution Below)
Investment Split Question 9 Detailed Solution
Given:
Principal (P) = Rs.50,000
First rate = 8%; second rate = 12%
Total simple interest (S.I) = Rs.5200
Formula used:
Simple interest (S.I) = (P × R × T)/100
Where P = principal; R = rate; T = time
Calculation:
Let the amount at 12% rate = x
then amount at 8% rate = (50,000 - x)
According to the question:
⇒ (50,000 - x) × 8% + x × 12% = 5200
⇒ (50,000 × 8%) - (x × 8%) + (x × 12%) = 5200
⇒ (x × 4%) = 5200 - 4000
⇒ x = (1200 × 100)/4 = Rs.30000
∴ The correct answer is Rs.30000.
Shortcut TrickCalculation:
Overall rate = (5200 × 100)/50000 = 52/5 = 10.4%
Now
Amount at 8% : Amount at 12% = 1.6 : 2.4
⇒ 2 : 3
⇒ 5 units = 50000
⇒ 3 units = (50000 × 3)/5 = Rs.30000
∴ The correct answer is Rs.30000.
Investment Split Question 10:
Kiran lent ₹4,000 to two persons such that one part of it at the rate of 8% per annum and the remaining part at the rate of 10% per annum. He got an annual simple interest of ₹352. Then the sum lent at 10% is:
Answer (Detailed Solution Below)
Investment Split Question 10 Detailed Solution
Given:
Total amount lent = ₹4,000
Annual simple interest received = ₹352
Interest rate for one part = 8% per annum
Interest rate for remaining part = 10% per annum
Formula Used:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) / 100
Calculation:
Let the amount lent at 10% be ₹x.
Then, the amount lent at 8% will be ₹(4,000 - x).
SI for amount lent at 10% = x × 10 × 1 / 100 = 0.1x
SI for amount lent at 8% = (4,000 - x) × 8 × 1 / 100 = 0.08(4,000 - x)
According to the problem, the total interest received is ₹352.
So, 0.1x + 0.08(4,000 - x) = 352
⇒ 0.1x + 320 - 0.08x = 352
⇒ 0.02x = 32
⇒ x = 32 / 0.02
⇒ x = 1,600
The sum lent at 10% is ₹1,600.
Investment Split Question 11:
Ramesh has ₹18,000. He deposited ₹7,000 in a bank at the rate of 5% per annum and ₹6,000 in other bank at the rate of 6% per annum simple interest. If he received ₹1,160 as simple interest at the end of one year, then the rate of interest per annum on rest of the capital is equal to:
Answer (Detailed Solution Below)
Investment Split Question 11 Detailed Solution
Given:
Total amount = ₹18,000
Amount deposited in first bank = ₹7,000 at 5% per annum
Amount deposited in second bank = ₹6,000 at 6% per annum
Total interest received at the end of one year = ₹1,160
Formula Used:
Simple Interest (SI) = Principal (P) × Rate (R) × Time (T) / 100
Calculation:
Interest from the first bank:
SI1 = ₹7,000 × 5 × 1 / 100
SI1 = ₹350
Interest from the second bank:
SI2 = ₹6,000 × 6 × 1 / 100
SI2 = ₹360
Total interest from first and second bank:
SI1 + SI2 = ₹350 + ₹360 = ₹710
Remaining interest to be earned from the rest of the capital:
Interest from rest of the capital = ₹1,160 - ₹710 = ₹450
Remaining capital:
Remaining capital = ₹18,000 - ₹7,000 - ₹6,000 = ₹5,000
Let the rate of interest for the remaining capital be R3% per annum.
Using the simple interest formula:
SI3 = ₹5,000 × R3 × 1 / 100
₹450 = ₹5,000 × R3 / 100
⇒ R3 = (₹450 × 100) / ₹5,000
⇒ R3 = 9%
The rate of interest per annum on the rest of the capital is 9%.
Investment Split Question 12:
A total of ₹2,00,000 is divided into two parts for investing in different banks on simple interest. One yields 4% p.a. while the
other yields 6% p.a. If the total interest at the end of one year is equivalent to 4.7% p.a. on the whole amount, the amount (in
₹) invested in each bank is ________, respectively.
Answer (Detailed Solution Below)
Investment Split Question 12 Detailed Solution
Given:
Total amount = ₹2,00,000
Interest rates = 4% p.a. and 6% p.a.
Total interest equivalent = 4.7% p.a.
Formula Used:
Let the amount invested at 4% be ₹x
Then, the amount invested at 6% will be ₹(2,00,000 - x)
Total interest = Interest from 4% + Interest from 6%
Total interest = 4.7% of 2,00,000
Calculation:
Interest from 4% = x × 4/100
Interest from 6% = (2,00,000 - x) × 6/100
Total interest = x × 4/100 + (2,00,000 - x) × 6/100
Total interest = 4.7% of 2,00,000
4.7/100 × 2,00,000 = x × 4/100 + (2,00,000 - x) × 6/100
9,400 = 4x/100 + 6(2,00,000 - x)/100
9,400 = 4x/100 + 12,000 - 6x/100
⇒ 9,400 = 12,000 - 2x/100
⇒ 9,400 - 12,000 = -2x/100
⇒ -2,600 = -2x/100
⇒ 2,600 = 2x/100
⇒ 2,60,000 = 2x
⇒ x = 1,30,000
Amount invested at 4% = ₹1,30,000
Amount invested at 6% = ₹2,00,000 - ₹1,30,000 = ₹70,000
The amount invested in each bank is ₹1,30,000 and ₹70,000 respectively.