Two equal sums are lent at the same time at 6% and 5 % simple interest respectively. The former is recovered 24 months earlier than the latter. And the amount in each case is Rs. 2400. Find the sum of money lent initially. a) 1500 b) 2000 c) 2400 d) 3000 e) 3600

Two equal sums are lent at the same time at 6% and 5 % simple interest
respectively. The former is recovered 24 months earlier than the latter. And the amount in each case is Rs. 2400. Find the sum of money lent initially.
a) 1500
b) 2000
c) 2400
d) 3000
e) 3600
by

1 Answer

Answer :

Let the sum be S, time be ‘n’ years for 6%. n+2 years for 5%
2400 = S + S ×n × 6/100
2400 = S + S × (n+2) × 5/100
So, 6n = 5(n+2) or n = 10 years.
2400 = S + S × 10 × 6/100 = 1.6S
S = 2400/1.6 = 1500
Answer: a)
by

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Description : If the compound interest accrued on an amount of Rs.15,000/- in two years is Rs.2,496/-.What is the rate of interest p.c.p.a.? a) 8 b) 12 c) 7.5 d) Cannot be determined e) None of these

Last Answer : Let the rate of interest p.c.p.a. be x. 2496 =15000 * x /100 x = 16.64 16.64 is the rate of interest compounded for two year & for one year = 8% 8% C.I. table for two year. I year = 8% II year = 8.64 Total =16.64% Answer: a)

A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio of their investments. At the end of the year, the profit of Ais Rs 1100 less than the sum of the profit of B and C. What amount of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Description : A, B and C are 3 partners in a business. Their investments are respectively Rs 2000, Rs 4,000 and Rs 3,000. A gets 30% of total profit for managing the business. The remaining profit is divided among them in the ratio ... of income will C get? A) Rs 2100.75 B) Rs 2887.5 C) Rs 2705.75 D) Rs 2546.25

Last Answer : Answer: B) The ratio of profit of A, B and C is 2000:4000:3000=2:4:3. Let the annual profit be P. Then, A will get 0.3p for managing the business. And, remaining 0.7p will be distributed in the ratio of their ... ⇒ 7/9 0.7p−2/9 0.7p−0.3p=1100 ⇒ p=12,375 So, C's share=3/9 0.7p=Rs 2887.5

Deepa decided to donate 16% of her monthly salary to an NGO. On the day of donation she changed her mind and donated Rs. 6,567/- which was 75%of what she had decided earlier. How much is Deepa’s monthly salary? a) Rs. 54,725/- b) Rs. 58,756/- c) Rs. 56,700/- d) Rs. 55,696/- e) Rs. 52,696/-

Description : Deepa decided to donate 16% of her monthly salary to an NGO. On the day of donation she changed her mind and donated Rs. 6,567/- which was 75%of what she had decided earlier. How much is Deepa’s monthly salary? a) Rs. 54,725/- b) Rs. 58,756/- c) Rs. 56,700/- d) Rs. 55,696/- e) Rs. 52,696/-

Last Answer : Let the Deepa Monthly Salary = x Deepa decided to donate 16% of her monthly salary. On the day of donation she changed. So, 75%of she had decided earlier of 16% 16 × 75/100 = 12% Therefore = 12%= Rs. 6567 100% = Rs .6567 × 100 / 12 x = Rs. 54725 Answer: a)

A man sells two flats for Rs. 8000 each. neither loosing nor gaining in the deal. If he sold one at a gain of 25%, the other commodity sold at a loss of: A. 50/3 % B. 18 /3% C. 25% D. 32%

Description : A man sells two flats for Rs. 8000 each. neither loosing nor gaining in the deal. If he sold one at a gain of 25%, the other commodity sold at a loss of: A. 50/3 % B. 18 /3% C. 25% D. 32%

Last Answer : Answer – A (50/3 %) Explanation – Total S.P = 16000 Rs. and Total C.P = 16000 Rs. S.P. of Ist = Rs. 8000. Gain on it = 25% C.P of Ist = Rs. (100/125 x 8000) = Rs.6400 C.P of 2nd = Rs, (16000 – 6400) = Rs. 9600. S.P of 2nd = 8000. ∴loss on 2nd commodity = (1600/9600 x 100)% = 50/3%

A man sells two flats at the rate of Rs. 2 lakhs each. On one he gains 3% and on the other, he loses 3%. His gain or loss % in the whole transaction is A. 9% loss B. 2% loss C. 3% loss D. 25% loss

Description : A man sells two flats at the rate of Rs. 2 lakhs each. On one he gains 3% and on the other, he loses 3%. His gain or loss % in the whole transaction is A. 9% loss B. 2% loss C. 3% loss D. 25% loss

Last Answer : Answer – A (0.09% loss) Explanation – Loss% = X^2/100=(3)^2/100 % =0.09%

Arun and Bharat started a business with investments of Rs.10000 and Rs.15000 respectively. Arun being a working partner gets Rs.100 every month as salary from the profit. At the end of one year the business makes a profit of Rs.4800. Find the total share of Arun out o this amount (in Rs.) a)2880 b)2640 c)3240 d)2760

Description : Arun and Bharat started a business with investments of Rs.10000 and Rs.15000 respectively. Arun being a working partner gets Rs.100 every month as salary from the profit. At the end of one year the business makes a ... the total share of Arun out o this amount (in Rs.) a)2880 b)2640 c)3240 d)2760

Last Answer : b)2640

The rate of Simple Interest in UBI & BOI are in the ratio of 5:4. Mr.Naveen wants to deposit his total savings in two banks in such a way that he receive equal half-yearly interest from both banks.He should deposit in both banks UBI & BOI in the ratio of a) 2:5 b) 1:5 c) 4:5 d) 3:5 e) None of these

Description : The rate of Simple Interest in UBI & BOI are in the ratio of 5:4. Mr.Naveen wants to deposit his total savings in two banks in such a way that he receive equal half-yearly interest from both banks.He should deposit in both banks UBI & BOI in the ratio of a) 2:5 b) 1:5 c) 4:5 d) 3:5 e) None of these

Last Answer : R1 =5x R2=4x T1=T2=1/2 yr [P1*5x*(1/2)]/100 = [P2*4x*(1/2)]/100 P1:P2 = 4:5 Answer: c)

Provided that the minimum amount of sum so payable shall not be less than ____ of the value of such defective goods sold or services provided, as the case may be to such consumers. a) Rs 25000/- c) 10 % c) 5% d) None of these

Description : Provided that the minimum amount of sum so payable shall not be less than ____ of  the value of such defective goods sold or services provided, as the case may be to such  consumers. a) Rs 25000/- c) 10 % c) 5% d) None of these

Last Answer : c) 10 %

Capital employed is Rs.50,000 Trading Profit amounted Rs.12,200, Rs.15,000 and Rs.2000 loss for 2016, 2017 and 2018 respectively. Rate of interest is 8% and the rate of risk is 2% Remuneration from alternative employment of the proprietor is Rs.3,600 pa. Amount of Goodwill at 3 years. purchase of super Profit is A Rs.8,000 B Rs.8,800 C Rs.8,850 D Rs.9,500 ANS: Rs.8,850

Description : Capital employed is Rs.50,000 Trading Profit amounted Rs.12,200, Rs.15,000 and Rs.2000 loss for 2016, 2017 and 2018 respectively. Rate of interest is 8% and the rate of risk is 2% Remuneration from alternative employment of the ... A Rs.8,000 B Rs.8,800 C Rs.8,850 D Rs.9,500 ANS: Rs.8,850

Last Answer : A

.What is the sum between money spent on bonus by these two companies? a) Rs.72 lakhs b) Rs.62 lakhs c) Rs.60 lakhs d) Rs.65 lakhs e) None of these

Description : .What is the sum between money spent on bonus by these two companies? a) Rs.72 lakhs b) Rs.62 lakhs c) Rs.60 lakhs d) Rs.65 lakhs e) None of these

Last Answer : e) None of these

P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Description : P and Q invest in a business in the ratio 3 : 2. If 5% of the total profit goes to charity and P’s share is Rs. 855, the total profit is: A.Rs. 1435 B.Rs. 1500 C.Rs. 1538 D.Rs. 1580

Last Answer : Answer- B (Rs.1500) Explanation: Let the total profit be Rs. 100. After paying to charity, A’s share = Rs. 95 x 3/5 = Rs. 57. If A’s share is Rs. 57, total profit = Rs. 100. If A’s share Rs. 855, total profit =(100/57) x 855 = 1500.