# Mathematics Top 1000 + MCQS Download Pdf Second Half

**51**

**A sum was put at simple interest at a certain rate for 3 years. Had it been put at 2% higher** **rate, it would have fetched Rs 360 more. Find the sum. (Answer)**

**A. Rs.4000**

**B. Rs.9000**

**C. Rs.5000**

**D. Rs.6000 (Answer)**

**52**

**A sum of money amounts to Rs. 9800 after 5 years and Rs. 12005 after 8 years at the same** **rate of simple interest. The rate of interest per annum is:**

**A. 5%**

**B. 8%**

**C. 12% (Answer)**

**D. 15%**

**53**

**A sum of Rs. 2500 amounts to Rs. 3875 in 4 years at the rate of simple interest. What is the**

**rate of interest**** choose which one is correct?**

**A. 12.25%**

**B. 12%**

**C. 6%**

**D. 13.75% (Answer)**

**54**

**sum of money becomes 7⁄5 of itself in 4 years at a certain rate of simple interest. The rate**

**per annum is :**

**A. 9%**

**B. 10% (Answer)**

**C. 11%**

**D. 12%**

**55**

**If there is a total of 104 weekly instalments and a third deposit, find the interest charged**

**A. 237.55 (Answer)**

**B. 337**

**C. 443**

**D. 334**

**56**

**What annual installment will discharge a debt of Rs 1092 due in 3 years at 12% simple**

**interest**** choose which one is correct?**

**A. Rs.325 (Answer)**

**B. Rs.545**

**C. Rs.560**

**D. Rs.550**

**57**

**If the simple interest on a certain sum of money after 3 1⁄8 years is 1⁄4 of the principal, what**

**is the rate of interest per annum**** choose which one is correct?**

**A. 6%**

**B. 4%**

**C. 8% (Answer)**

**D. 12%**

**58**

**How much time will it take for an amount of Rs. 900 to yield Rs. 81 as interest at 4.5% per** **annum of simple interest choose which one is correct?**

**A. 2 years (Answer)**

**B. 3 years**

**C. 1 year**

**D. 4 years**

**59**

**A sum was put at a simple interest at a certain rate for 2 years. Had it been put at 4% higher rate,** **it would have fetched Rs. 60 more. The sum is:________ choose which one is correct?**

**A. Rs.750 (Answer)**

**B. Rs.700**

**C. Rs.820**

**D. Rs.940**

**60**

**A car is purchased on hire-purchase. The cash price is $21 000 and the terms are a deposit of** **10% of the price, then the balance to be paid off over 60 equal monthly installments. Interest** **is charged at 12% p.a. What is the monthly installment choose which one is correct?**

**A. $503**

**B. $504 (Answer)**

**C. $505**

**D. $506**

**61**

**A sum of Rs. 725 is lent in the beginning of a year at a certain rate of interest. After 8 months,** **a sum of Rs. 362.50 more is lent but at the rate twice the former. At the end of the year, Rs.33.50 is earned as interest from both the loans. What was the original rate of interest choose which one is correct?**

**A. 3.46% (Answer)**

**B. 4.5%**

**C. 5%**

**D. 6%**

**62**

**A lends Rs. 1500 to B and a certain sum to C at the same time at 8% per annum simple** **interest. If after 4 years, A altogether receives Rs. 1400 as interest from B and C, then the sum** **lent to C is________ choose which one is correct?**

**A. Rs.2875 (Answer)**

**B. Rs.1885**

**C. Rs.2245**

**D. Rs.2615**

**63**

**Mr. Tassawar Javed invested an amount of Rs. 13,900 divided in two different schemes A and** **B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of** **simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B choose which one is correct?**

**A. Rs. 6400 (Answer)**

**B. Rs. 6500**

**C. Rs. 7200**

**D. Rs. 7500**

**64**

**The simple interest on Rs.500 at 6% per annum from May 3rd to July 15th in the same year** **is_________ choose which one is correct?**

**A. Rs.8**

**B. Rs.6 (Answer)**

**C. Rs.4**

**D. Rs.9**

**65**

**An amount of 5,000 is invested at a fixed rate of 8 per cent per annum. What amount will be** **the value of the investment in five years time, if the interest is compounded every six months choose which one is correct?**

**A. 7401.22 (Answer)**

**B. 3456**

**C. 4567**

**D. 7890**

**66**

**A father left a will of Rs.35 lakhs between his two daughters aged 8.5 and 16 such that they** **may get equal amounts when each of them reach the age of 21 years. The original amount of** **Rs.35 lakhs has been instructed to be invested at 10% p.a. simple interest. How much did the** **elder daughter get at the time of the will choose which one is correct?**

**A. 17.5 lakhs**

**B. 21 lakhs (Answer)**

**C. 15 lakhs**

**D. 20 lakhs**

**67**

**What is the present worth of Rs. 132 due in 2 years at 5% simple interest per annum **** choose which one is correct?**

**A. Rs. 112**

**B. Rs. 118.80**

**C. Rs. 120 (Answer)**

**D. Rs. 122**

**68**

**Nabeela took a loan of Rs. 1200 with simple interest for as many years as the rate of interest.If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest choose which one is correct?**

**A. 3.6**

**B. 6 (Answer)**

**C. 18**

**D. Cannot be determined**

**69**

**A man took a loan from a bank at the rate of 12% p.a. simple interest. After 3 years he had t**o **pay Rs. 5400 interest only for the period. The principal amount borrowed by him was :**

**A. Rs. 2000**

**B. Rs. 10,000**

**C. Rs. 15,000 (Answer)**

**D. Rs. 20,000**

**70**

**A sum of Rs. 12,500 amounts to Rs. 15,500 in 4 years at the rate of simple interest What is the** **rate of interest choose which one is correct?**

**A. 3%**

**B. 4%**

**C. 5%**

**D. 6% (Answer)**

**71**

**A sum of money amounts to Rs 9800 after 5 years and Rs. 12005 after 8 years at the same rate** **of simple interest. The rate of interest per annum is : (Answer)**

**A. 5%**

**B. 8%**

**C. 12% (Answer)**

**D. 15%**

**72**

**A sum of money trebles itself in 15 years, 6 months. In how many years would it double itself **** choose which one is correct?**

**A. 6 years 3 months**

**B. 7 years 9 months (Answer)**

**C. 8 years 3 months**

**D. 9 years 6 months**

**73**

**What will be the ratio of simple interest earned by certain amount at the same rate of interest** **for 6 years and that for 9 years choose which one is correct?**

**A. 1 : 3**

**B. 1 : 4**

**C. 2 : 3 (Answer)**

**D. Data inadequate**

**74**

**An automobile financier claims to be lending money at simple interest, but he includes the** **interest every six months for calculating the principal. If he is charging an interest of 10%, the** **effective rate of interest becomes :_________ choose which one is correct?**

**A. 10%**

**B. 10.25% (Answer)**

**C. 10.50%**

**D. None of these**

**75**

**The top of a 15 meter high tower makes an angle of elevation of 60° with the bottom of an** **electric pole and angle of elevation of 30° with the top of the pole. What is the height of the** **electric pole choose which one is correct?**

**A. 5 metres**

**B. 8 metres**

**C. 10 metres (Answer)**

**D. 12 metres**

**76**

**The angle of elevation of the sun, when the length of the shadow of a tree is √3 times the** **height of the tree, is :________ choose which one is correct?**

**A. 30° (Answer)**

**B. 45°**

**C. 60°**

**D. 90°**

**77**

**From a point P on a level ground, the angle of elevation of the top of a tower is 30°. If the** **tower is 100 m high, the distance of point P from the foot of the tower is :_________ choose which one is correct?**

**A. 149 m**

**B. 156 m**

**C. 173 m (Answer)**

**D. 200 m**

**78**

**If the height of a pole is 2√3 metres and the length of its shadow is 2 metres, find the angle of** **elevation of the sun.**

**A. 50°**

**B. 60° (Answer)**

**C. 70°**

**D. 80°**

**79**

**Two ships are sailing in the sea on the two sides of a lighthouse. The angles of elevation of the** **the top of the lighthouse as observed from the two ships are 30° and 45° respectively. If the** **the lighthouse is 100 m high, the distance between the two ships is :_________ choose which one is correct?**

**A. 173 m**

**B. 200 m**

**C. 273 m (Answer)**

**D. 300 m**

**80**

**The angle of elevation of a ladder leaning against a wall is 60° and the foot of the ladder is 4.6** **m away from the wall. The length of the ladder is :_________ choose which one is correct?**

**A. 2.3 m**

**B. 4.6 m**

**C. 7.8 m**

**D. 9.2 m (Answer)**

**81**

**Find out the wrong number in the series : 1, 1, 2, 6, 24, 96, 720 (Answer)**

**A. 6**

**B. 24**

**C. 96 (Answer)**

**D. 720**

**82**

**A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000** **respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the** **second year, C withdraws Rs. 80,000. In what ratio will the profit be shared at the end of 3** **years choose which one is correct?**

**A. 2 : 3 : 4**

**B. 3 : 2 : 4**

**C. 3: 2 : 1**

**D. 3: 4 : 7 (Answer)**

**83**

**A began a business with Rs. 85,000. He was joined afterwards by B with Rs. 42,500. For how** **How much period does B joins, if the profits at the end of the year are divided in the ratio of 3 : 1 choose which one is correct?**

**A. 4 months**

**B. 5 months**

**C. 6 months**

**D. 8 months (Answer)**

**84**

**A, B and C enter into a partnership. They invest Rs. 40,000, Rs. 80,000 and Rs. 1,20,000** **respectively. At the end of the first year, B withdraws Rs. 40,000, while at the end of the** **second year, C withdraws Rs. 80,000. IN what ratio will the profit be shared at the end of 3** **years choose which one is correct?**

**A. 2:3:5**

**B. 3:4:7 (Answer)**

**C. 4:5:9**

**D. None of these**

**85**

**Ameen started a business investing Rs. 70,000. Rahim joined him after six months with an** **amount of Rs. 1,05,000 and sameer joined them with Rs. 1.4 lakhs after another six months.** **The amount of profit earned should be distributed in what ratio among Ameen, Rahim and** **Sameer respectively, 3 years after Ameen started the business choose which one is correct?**

**A. 7:6:10**

**B. 12:15:16 (Answer)**

**C. 42:45:56**

**D. Cannot be determined**

**E. None of these**

**86**

**A and B started business in partnership investing Rs. 20,000 and Rs. 15,000 respectively. After** **six months, C joined them with Rs. 20,000. What will be B’s share in the total profit of Rs.** **25,000 earned at the end of 2 years from the starting of the business choose which one is correct?**

**A. Rs. 7500 (Answer)**

**B. Rs. 9000**

**C. Rs. 9500**

**D. Rs. 10,000**

**E. None of these**

**87**

**Sameena started a software business by investing Rs. 50,000. After six months, Nida joined her** **with a capital of Rs. 80,000. After 3 years, they earned a profit of Rs. 24,500. What was** **Saneena’s share in the profit choose which one is correct?**

**A. Rs. 9423**

**B. Rs. 10,250**

**C. Rs. 12,500**

**D. Rs. 14,000**

**E. None of these (Answer)**

**88**

**Kamal started a business investing Rs. 9000. After five months, Sameer joined with a capital of** **Rs. 8000. If at the end of the year, they earn a profit of Rs. 6970, then what will be the share of** **Sameer in the profit choose which one is correct?**

**A. Rs. 1883.78**

**B. Rs. 2380 (Answer)**

**C. Rs. 3690**

**D. Rs. 3864**

**89**

**A, B, C enter into a partnership investing Rs. 35,000, Rs. 45,000 and Rs. 55,000 respectively.** **The respective shares of A, B, C in annual profit of Rs. 40,500 are:**

**A. Rs. 10,500, Rs. 13,500, Rs. 16,500 (Answer)**

**B. Rs. 11,500, Rs. 13,000, Rs. 16,000**

**C. Rs. 11,000, Rs. 14,000, Rs. 15,500**

**D. Rs. 11,500, Rs. 12,500, Rs. 16,500**

**90**

**Anees and Raees started a business investing Rs. 22,500 and Rs. 35,000 respectively. Out of a** **total profit of Rs. 13,800, Raees’s share is:________ choose which one is correct?**

**A. Rs. 5400**

**B. Rs. 7200**

**C. Rs. 8400 (Answer)**

**D. Rs. 9600**

**91**

**P and Q started a business investing Rs. 85,000 and Rs. 15,000 respectively. In what ratio the** **profit earned after 2 years be divided between P and Q respectively choose which one is correct?**

**A. 3:4**

**B. 3:5**

**C. 15:23**

**D. 17:23**

**E. None of these (Answer)**

**92**

**X and Y started a business with capitals Rs. 20000 and Rs. 25000. After few months Z joined** **them with a capital of Rs. 30000. If the share of Z in the annual profit of Rs. 50000 is Rs. 14000,** **Then after how many months from the beginning did Z join choose which one is correct?**

**A. 7**

**B. 6**

**C. 3**

**D. 4**

**E. None of these (Answer)**

**93**

**P and Q started a business with respective investments of Rs. 4 lakhs and Rs. 10 lakhs. As P** **runs the business, his salary is Rs. 5000 per month. If they earned a profit of Rs. 2 lakhs at the** **end of the year, then find the ratio of their earnings choose which one is correct?**

**A. 2 : 5**

**B. 5 : 2**

**C. 3 : 5**

**D. 1 : 1 (Answer)**

**E. None of these**

**94**

**Four car rental agencies A, B, C and D rented a plot for parking their cars during the night. A** **parked 15 cars for 12 days, B parked 12 cars for 20 days, C parked 18 cars for 18 days and D** **parked 16 cars for 15 days. If A paid Rs. 1125 as rent for parking his cars, what is the total rent** **paid by all the four agencies choose which one is correct?**

**A. Rs. 4500**

**B. Rs. 4800**

**C. Rs. 5250**

**D. Rs. 6150 (Answer)**

**E. None of these**

**95**

**A started a business with an investment of Rs. 70000 and after 6 months B joined him** **investing Rs. 120000. If the profit at the end of a year is Rs. 52000, then the share of B is choose which one is correct?**

**A. Rs. 28000**

**B. Rs. 24000 (Answer)**

**C. Rs. 30000**

**D. Rs. 26000**

**E. None of these**

**96**

**A, B and C started a business with capitals of Rs. 8000, Rs. 10000 and Rs. 12000 respectively.** **At the end of the year, the profit share of B is Rs. 1500. The difference between the profit** **shares of A and C is choose which one is correct?**

**A. Rs. 300**

**B. Rs. 400**

**C. Rs. 500**

**D. Rs. 600 (Answer)**

**E. None of these**

**97**

**A and B start a business, with A investing the total capital of Rs.50000, on the condition that B** **pays A interest @ 10% per annum on his half of the capital. A is a working partner and receives** **Rs.1500 per month from the total profit and any profit remaining is equally shared by both of** **them. At the end of the year, it was found that the income of A is twice that of B. Find the total** **profit for the year choose which one is correct?**

**A. 53000**

**B. 58000**

**C. 50000**

**D. 59000 (Answer)**

**98**

**A and B invests Rs.8000 and Rs.9000 in a business. After 4 months, A withdraws half of his** **capital and 2 months later, B withdraws one-third of his capital. In what ratio should they** **share the profits at the end of the year choose which one is correct?**

**A. 20:23**

**B. 34:43**

**C. 32:45 (Answer)**

**D. 37:45**

**99**

**A and B invests Rs.10000 each, A investing for 8 months and B investing for all the 12 months** **in the year. If the total profit at the end of the year is Rs.25000, find their shares choose which one is correct?**

**A. Rs.8000, Rs.17000**

**B. Rs.9000, Rs.16000**

**C. Rs.18000, Rs.7000**

**D. Rs.10000, Rs.15000 (Answer)**

**100**

**A and B starts a business with Rs.8000 each, and after 4 months, B withdraws half of his capital. How should they share the profits at the end of the 18 months choose which one is correct?**

**A. 18:11 (Answer)**

**B. 22:13**

**C. 23:12**

**D. 11:9**