Let the amount taken from Suresh is x and amount taken from Raj = | 18x |
25 |
Amount taken from Akash = 32500 – x – | 18x | = 32500 – | 43x |
25 | 25 |
( | 18x | ) | × 12 | ( | 32500 – | 43x | ) | × 16 | ||||||
⇒ | 25 | + | 25 | + | x × 18 | = 5090 (Given) | ||||||||
100 | 100 | 100 |
= 32500 – 43 × | 12500 | = 32500 – 21500 = Rs.11000 |
25 |
Amount Invested | Interest | Tax | |
Year 1 | 90000 | 9000 | 1800 |
Year 2 | 97200 | 9720 | 1944 |
Year 3 | 104976 | 10497.60 | 2099.52 |
Year 4 | 113374.08 | 11337.408 | 2267.4816 |
Rs. | ( | x + | x × 10 × 1 | ) | = Rs. | 11x |
100 | 10 |
Rs. | ( | 11x | + | 11x | × | 10 × 1 | ) | = | 121x |
10 | 10 | 100 | 100 |
After withdrawing Rs 5000 from Rs. | 121x | , the balance |
100 |
= Rs. | 121x – 500000 |
100 |
121x – 500000 | + | 121x – 500000 | × | 10 × 1 |
100 | 100 | 100 |
= | 11(121x – 500000) |
1000 |
= Rs. | ( | 1331x | – 11500 | ) |
1000 |
Rs. | 11 | ( | 1331x | – 11500 | ) | – 10000 = 0 |
10 | 1000 |
Interest at the end of 1st year = | 1100 × 20 × 1 | = Rs. 220 |
100 |
= | (1320 – x) × 20 × 1 | = 264 – | x |
100 | 5 |
= (1320 – x) + | ( | 264 – | x | ) | – x = 0 |
5 |
⇒ 2x + | x | = 1320 + 264 |
5 |
⇒ | 11x | = 1584 |
5 |
Rate = | SI × 100 |
Principal × Time |
= | 7770 × 100 | = 14% per annum |
18500 × 3 |
⇒ CI = | [ | P | { | ( | 1 + | r | ) | ^{t} | – 1 | } | ] |
100 |
= | 18500 | [ | ( | 1 + | 14 | ) | ^{3} | – 1 | ] | = 18500 [(1.14)^{3} –1] |
100 |