Question
If 78% of (A - B) is equal to 26% of 90% of (A + B), then
find the ratio of B to A.Solution
ATQ,
Given
78% of (A - B) = 26% of 90% of (A + B)
Or, 39 × (A - B) = 117 × (A + B) [78% = 39/50, and 26% of 90% = 23.4% = 117/500]
Multiply both sides by 500 to eliminate denominators:
→ 19500 × (A - B) = 117 × (A + B) × 50
→ 19500A - 19500B = 5850A + 5850B
→ 13650A = 25350B
→ A/B = 25350 / 13650 = 13 / 7
So, B/A = 7/13
Rs. ‘P’ was invested in scheme A at the rate of 30% per annum on compound interest for 3 years. Rs. (P+9875) was invested in scheme B at the rate of...
If a sum when placed at compound interest grows to Rs.6,400 in 2 yrs and to Rs. 8,000 in 3 yrs, find the rate percent p.a.
...Mr. X deposits ₹10,000 at a simple interest rate of 8% per annum for 4 years. After 2 years, he invests an additional ₹12,000 at the same rate for 3...
- Priya deposited Rs. 'p' and Rs. (p + 400) in two schemes, A and B, for 2 years each. Schemes A and B offer 10% and 12% simple interest respectively. If the...
Raman deposited Rs. 16000 at a compound interest rate of 20% per annum, while he deposited Rs. 12000 at a simple interest rate of 30% per annum. After t...
John invested Rs. (P-4000) and Rs. (P+5000) in scheme A and scheme B respectively. The rate of interest in scheme A and B is (R+1)% and (R-1)% respectiv...
Simple interest earned on an amount of Rs. 1000 at rate of R% per annum after 4 years is Rs. 280. Find the simple interest earned on an amount of Rs. 15...
- Deepali invests Rs. 8,300 at a simple interest rate of 4% per annum for 6 years. The total amount she receives is Rs. '2k'. What is the product of the digi...
A invested Rs. ‘x’ in a scheme offering compound interest of 12% p.a. compounded annually. If at the end of 2 years, interest received by A was Rs. ...
A man invested Rs.75000 in a fixed deposit scheme for 3 yrs at CI of 8% p.a. How much will a man get on maturity of the fixed deposit?
Relevant for Exams:
