Direction: P, Q and R started a business by investing Rs. 1200, Rs. 20

1.	Direction: P, Q and R started a business by investing Rs. 1200, Rs. 2000 and Rs. 2400 respectively. After a quarter, they invested amounts in the ratio 1 : 4 : 2. After another quarter, they invested amounts in the ratio 3 : 2 : 3. In the last quarter, the ratio of investments was same as in 2nd quarter. Also, in the last quarter, the respective amounts of P, Q and R were double than the respective amounts invested in 2nd quarter. The total investment of R before 4th quarter was Rs. 1800 more than that of P during same duration. Also, the ratio of R’s share in profit to total profit at the end of year was 69 : 206. Also, they withdrew the amount after each quarter.The investment of Q in the 3rd quarter is Rs. 600. The respective investments in second quarter was changed and this was in the ratio 2 : 3 : 1. What would be the total investment of all three in the last quarter, if the total investment of all P, Q and R was Rs. 19160 for the whole year?1). Rs. 78202). Rs. 74403). Rs. 69804). Rs. 7260
Answer» ? The investments in second quarter was changed and this was in the ratio 2 : 3 : 1; Suppose the investment in 2^nd quarter were RS. 2z, Rs. 3Z and Rs. z; ∴ The investment in last quarter will also be changed and would be Rs. 4Z, Rs. 6z and Rs. 2z; And the investment in 3^rd quarter would be Rs. 3y, Rs. 2y and Rs. 3y; ∴ Total investment of all three for the whole year = (1200 + 2z + 3y + 4z) + (2000 + 3z + 2y + 6z) + (2400 + z + 3y + 2z) ⇒ 5600 + 18z + 8y ? The investment of Q = 2y = Rs. 600 ⇒ y = 300 ∴ Putting y = 300; ⇒ 5600 + 18z + 2400 ⇒ 8000 + 18z ? The total investment of P, Q and R was Rs. 19160; ∴ 8000 + 18z = 19160 ⇒ 18z = 11160 ⇒ z = 620 ∴ Total investment of all three in the last quarter = (4 + 6 + 2) × 620 = Rs. 7440

Direction: P, Q and R started a business by investing Rs. 1200, Rs. 2000 and Rs. 2400 respectively. After a quarter, they invested amounts in the ratio 1 : 4 : 2. After another quarter, they invested amounts in the ratio 3 : 2 : 3. In the last quarter, the ratio of investments was same as in 2nd quarter. Also, in the last quarter, the respective amounts of P, Q and R were double than the respective amounts invested in 2nd quarter. The total investment of R before 4th quarter was Rs. 1800 more than that of P during same duration. Also, the ratio of R’s share in profit to total profit at the end of year was 69 : 206. Also, they withdrew the amount after each quarter.The investment of Q in the 3rd quarter is Rs. 600. The respective investments in second quarter was changed and this was in the ratio 2 : 3 : 1. What would be the total investment of all three in the last quarter, if the total investment of all P, Q and R was Rs. 19160 for the whole year?1). Rs. 78202). Rs. 74403). Rs. 69804). Rs. 7260

Answer»

? The investments in second quarter was changed and this was in the ratio 2 : 3 : 1;

Suppose the investment in 2^nd quarter were RS. 2z, Rs. 3Z and Rs. z;

∴ The investment in last quarter will also be changed and would be Rs. 4Z, Rs. 6z and Rs. 2z;

And the investment in 3^rd quarter would be Rs. 3y, Rs. 2y and Rs. 3y;

∴ Total investment of all three for the whole year = (1200 + 2z + 3y + 4z) + (2000 + 3z + 2y + 6z) + (2400 + z + 3y + 2z)

⇒ 5600 + 18z + 8y

? The investment of Q = 2y = Rs. 600

⇒ y = 300

∴ Putting y = 300;

⇒ 5600 + 18z + 2400

⇒ 8000 + 18z

? The total investment of P, Q and R was Rs. 19160;

∴ 8000 + 18z = 19160

⇒ 18z = 11160

⇒ z = 620

∴ Total investment of all three in the last quarter = (4 + 6 + 2) × 620 = Rs. 7440

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