हिंदी

A Man Borrows Rs 62500 at 8% P.A., Simple Interest for 2 Years. He Immediately Lends the Money Out at Ci at the Same Rate and for Same Time. What is His Gain at the End of 2 Years? - Mathematics

Advertisements
Advertisements

प्रश्न

A man borrows Rs 62500 at 8% p.a., simple interest for 2 years. He immediately lends the money out at CI at the same rate and for same time. What is his gain at the end of 2 years?

योग

उत्तर

Case I :
Simple interest = `(62500 xx 8 xx 2)/(100)`
= 10000
Amount 
= Rs.62500 + Rs.10000
= Rs.72500
Case II :
Here P1 = Rs.62500 and r = 8%
So, Amount after 1 year
= `"P"(1 + "r"/100)`

= `62500(1 + 8/100)`

= `62500 xx (108)/(100)`
= 67500
Thus, P2 = Rs.67500 and r = 8%
Amount after 2 year
= `"P"(1 + "r"/100)`

= `67500(1 + 8/100)`

= `67500 xx (108)/(100)`
= 72900
Hence, Amount = Rs.72900
Thus, gain in amount
= Rs.72900 - Rs.72500
= Rs.400.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 3: Compound Interest - Exercise 3.1

APPEARS IN

फ्रैंक Mathematics [English] Class 9 ICSE
अध्याय 3 Compound Interest
Exercise 3.1 | Q 17

संबंधित प्रश्न

Calculate the amount and compound interest on Rs 62500 for `1 1/2` years at 8% per annum compounded half yearly.


Calculate the amount and compound interest on Rs 10000 for 1 year at 8% per annum compounded half yearly.


The interest on a sum of Rs 2000 is being compounded annually at the rate of 4% per annum. Find the period for which the compound interest is Rs 163.20.


The difference in simple interest and compound interest on a certain sum of money at \[6\frac{2}{3} %\] per annum for 3 years is Rs 46. Determine the sum.


At what rate percent per annum will a sum of Rs 4000 yield compound interest of Rs 410 in 2 years?


Find the amount and the compound interest.

No. Principal (₹) Rate (p.c.p.a.) Duration
(Years)
1 2000 5 2
2 5000 8 3
3 4000 7.5 2

Geeta borrowed Rs. 15,000 for 18 months at a certain rate of interest compounded semi-annually. If at the end of six months it amounted to Rs. 15,600; calculate :
(i) the rate of interest per annum.
(ii) the total amount of money that Geeta must pay at the end of 18 months in order to clear the account.


The cost of a machine depreciated by Rs. 4,000 during the first year and by Rs. 3,600 during the second year. Calculate :

  1. The rate of depreciation.
  2. The original cost of the machine.
  3. Its cost at the end of the third year.

The value of a machine depreciated by 10% per year during the first two years and 15% per year during the third year. Express the total depreciation of the machine, as percent, during the three years.


During every financial year, the value of a machine depreciates by 12%. Find the original cost of a machine which depreciates by Rs. 2,640 during the second financial year of its purchase.


Find the sum on which the difference between the simple interest and compound interest at the rate of 8% per annum compounded annually would be Rs. 64 in 2 years.


Ashok borrowed Rs. 12,000 at some rate on compound interest. After a year, he paid back Rs.4,000. If the compound interest for the second year is Rs. 920, find:

  1. The rate of interest charged
  2. The amount of debt at the end of the second year

Calculate the amount and the compound interest on Rs. 12,000 in 2 years and at 10% per year.


Calculate the compound interest on Rs. 15,000 in 3 years; if the rates of interest for successive years be 6%, 8%, and 10% respectively.


Mohan borrowed Rs. 16,000 for 3 years at 5% per annum compound interest. Calculate the amount that Mohan will pay at the end of 3 years.


Calculate the difference between the compound interest and the simple interest on ₹ 7,500 in two years and at 8% per annum.


The simple interest on a certain sum for 3 years at 4% is Rs 600. Find the compound interest for the same sum at the same percent and in the same time.


A sum of Rs. 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually. Find the Compound Interest (C.I.) and the amount she has to pay at the end of 2 years.

The time taken for ₹ 1000 to become ₹ 1331 at 20% p.a, compounded annually is 3 years


In how many years will ₹ 3375 become ₹ 4096 at `13 1/3` p.a if the interest is compounded half-yearly?


Find the C.I. on ₹ 15000 for 3 years if the rates of interest are 15%, 20% and 25% for the I, II and III years respectively


The cost of a machine is ₹ 18000 and it depreciates at `16 2/3 %` annually. Its value after 2 years will be ___________


Find the rate of compound interest at which a principal becomes 1.69 times itself in 2 years


Suppose a certain sum doubles in 2 years at r % rate of simple interest per annum or at R% rate of interest per annum compounded annually. We have ______.


The compound interest on Rs 50,000 at 4% per annum for 2 years compounded annually is ______.


A sum is taken for two years at 16% p.a. If interest is compounded after every three months, the number of times for which interest is charged in 2 years is ______.


To calculate the growth of a bacteria if the rate of growth is known, the formula for calculation of amount in compound interest can be used.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×