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# anoop borrowed rs. 800 at 6 % p.a. & rs. 1200 at 7 % p.a. for the same duration. he had to pay rs. 1584 in all as interest. find the time period.

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### Mohammed

Guys, does anyone know the answer?

get anoop borrowed rs. 800 at 6 % p.a. & rs. 1200 at 7 % p.a. for the same duration. he had to pay rs. 1584 in all as interest. find the time period. from screen.

## Anoop borrowed Rs. 800 at 6

Click here👆to get an answer to your question ✍️ Anoop borrowed Rs. 800 at 6 Question

A

B

C

D

## 13 years

Easy Open in App Solution Verified by Toppr

Correct option is C)

We know, Interest = 100 PRT ​

Interest at 1st rate for 1 year = 800×

100 6×1 ​ =Rs.48

Interest for 1 year at 2nd rate = 1200×

100 7×1 ​ =Rs.84

Therefore, the total interest for 1 year = Rs. 132

Hence, the required time =

132 1584 ​ =12 years

20 2

स्रोत : www.toppr.com

## [Solved] A person borrowed 1,200 at 8% p.a. and Rs. 1,800 at 10% p.a.

Given : A person borrowed 1,200 at 8% p.a. and Rs. 1,800 at 10% p.a. as simple interest for the same period. He has to pay Rs. 1,380 in all as interest. Conce Home Quantitative Aptitude Interest Simple Interest

## A person borrowed 1,200 at 8% p.a. and Rs. 1,800 at 10% p.a. as simple interest for the same period. He has to pay Rs. 1,380 in all as interest. Find the time period.

This question was previously asked in

SSC CHSL Previous Paper 102 (Held On: 19 Oct 2020 Shift 1)

View all SSC CHSL Papers >

4 years 10 years 6 years 5 years

## Answer (Detailed Solution Below)

Option 4 : 5 years

## Detailed Solution

Given :

A person borrowed 1,200 at 8% p.a. and Rs. 1,800 at 10% p.a. as simple interest for the same period. He has to pay Rs. 1,380 in all as interest.

Concept used :

Interest = (Principle × Rate of interest × time)/100

Calculation:

Let the time period be 't' years

Interest for Rs. 1200 at 8% rate of interest = (1200 × 8 × t)/100 = 96t

Interest for Rs. 1800 at 10% rate of interest = (1800 × 10 × t)/100 = 180t

Total interest = 1380

⇒ 96t + 180t = 1380 ⇒ 276t = 1380 ⇒ t = 5 years.

∴ Option 4 will be the correct answer.

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## More Simple Interest Questions

Q1. If a sum becomes double in 16 years at simple interest, how many times will it be in 8 years?Q2. A sum of Rs. 18600 is given at 15% per annum at simple interest, if interest is added to sum after 2 years then find the total interest after 4 years.Q3. A invests a sum of money in simple interest at a certain rate for 6 years and B invests the same sum of money for same time but at 2% higher rate. If the difference between the simple interests for 6 years is 360 then find the sum of money invested.Q4. Aman lends a sum of money to Aman at the rate of 3% for the first 2 years, 5% for the next 3 years and 7% for next 1 year. If the total simple interest for the 6 years is Rs.840, then find the sum of money.Q5. At what rate percent per annum simple interest a sum of Rs. 540 amounts to Rs. 693 in 20 months?Q6. A sum of money was invested at a certain rate of simple interest for 4 years. Had the sum been invested at a rate 3% higher than the actual rate, the interest earned would have been Rs. 720 more. Find the sum initially invested.Q7. At what rate of simple interest should a sum of ₹ 4000 be invested, so that it earns an interest of ₹ 800 in 5 years.Q8. Rs. 30000 became Rs. 42000 in 8 years. If the investment was made on simple interest, what was the rate on simple interest offered per annum?Q9. Rs. 25,000 was invested at a particular rate of simple interest for a period of 5 years. If the interest earned at the end of the term was Rs. 7,500, what was the rate of interest per annum?Q10. A sum of money became Rs. 2,700 in two years. If the simple interest offered per annum was 2% more, the amount would have become Rs. 2,800 during the same period. Find the originals sum and the rate of simple interest offered every year.

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Q1. In how many years will a sum of Rs 800 at 10% per annum compounded semi-annually become Rs 926.10?Q2. If a sum becomes double in 16 years at simple interest, how many times will it be in 8 years?Q3. A sum of Rs. 18600 is given at 15% per annum at simple interest, if interest is added to sum after 2 years then find the total interest after 4 years.Q4. Rs. 56000 is invested at the rate of 5% for 1st year, at 10% for 2nd year and at 15% for the 3rd year. Find the total compound interest earned in these 3 years.Q5. A invests a sum of money in simple interest at a certain rate for 6 years and B invests the same sum of money for same time but at 2% higher rate. If the difference between the simple interests for 6 years is 360 then find the sum of money invested.Q6. A sum becomes double in 4 years at compound interest, in how many years the sum becomes 8 times of itself.Q7. Find the sum if the compound interest for 3 years at the rate of 5% per annum is Rs. 1261Q8. Aman lends a sum of money to Aman at the rate of 3% for the first 2 years, 5% for the next 3 years and 7% for next 1 year. If the total simple interest for the 6 years is Rs.840, then find the sum of money.Q9. Find the sum if the amount after 2 years is Rs. 1,94,481 at the rate of 10% per annum compounded half yearly.Q10. Find the sum invested in compound interest if the amount at the end of two years and three years are Rs. 14,520 and Rs. 15,972 respectively.

स्रोत : testbook.com

## Anoop borrowed Rs. 800 at 6 % p.a. & Rs. 1200 at 7 % p.a. for the same duration. He had to pay Rs.

Find an answer to your question Anoop borrowed Rs. 800 at 6 % p.a. &amp; Rs. 1200 at 7 % p.a. for the same duration. He had to pay Rs. 1584 in all as interest. … Brainly User

## Given:

Interest at 1st rate for 1 year:

800 × (6 × 1) / 100 800 × 6 / 100 4800 / 100 Rs. 48

Now:Interest for 1 year at 2nd rate:

1200 × (7 × 1) / 100

1200 × 7 / 100 8400 / 100 Rs. 84

Therefore:Total interest for 1 year:

Rs. 48 + Rs. 84 Rs. 132

Hence:The required time:

1584 / 132 12 years

Final answer: 12 years

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### SOLUTION ☺️

1case=)Rs.800at6%perannum=)800×6/100=)4800/100=)48Rs.2case=)Rs.1200at7%=)1200×7/100=)8400/100=)84.(1case+2case)=)(48+84)Rs.=)132Rs.Durationrequired=)All Interest=1584Rs.So,=)1584/132=)12yearsans.hope it helps ✔️

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