Ram lent sum of money to Mohan for 2 years at 12% per annum Mohan lent the same amount to Sohan for 2 years at 14 % per annum Mohan gains rupees 2,000 find amount lent by Ram
Answers
Step-by-step explanation:
Given Ram lent sum of money to Mohan for 2 years at 12% per annum Mohan lent the same amount to Sohan for 2 years at 14 % per annum Mohan gains rupees 2,000 find amount lent by Ram
- Let the amount lent by Ram be P
- So interest will be P x R x T / 100
- = P x 12 x 2 / 100
- = 6 P / 25
- So interest for Sohan will be P x R x T / 100
- = P x 14 x 2 / 100
- = 7 P / 25
- Now amount gained will be 7P / 25 – 6P/25
- = P/25
- Therefore amount gained will be P/25 = 2000
- Or P = Rs 50,000
So Amount lent by Ram is Rs 50,000
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Answer:
Rs 50000
Step-by-step explanation:
Define x:
Let the amount that Ram lent out be x
Find the amount of interest Mohan has to pay Ram:
Interest a year = 12% of x
Interest a year = 0.12x
Interest for 2 years = 2(0.12x) = 0.24x
Find the amount of interest Mohan gain from lending to Sohan:
interest a year = 14% of x
interest a year = 0.14x
Interest for 2 years = 2(0.14x) = 0.28x
Find the amount he gained in x:
Gain = 0.28x - 0.24x
Gain = 0.04x
Solve x:
Gain = 0.04x
Gain = 2000
0.04 x = 2000
x = 2000 ÷ 0.04
x = Rs 50000
Answer: Ram lent Rs 50000 to Mohan.