Question

P, Q, R and S started a business by making investments a, b, c and d, respectively. The eight times of “a” is equal to four times of “b”. Four times of “b” is equal to five times of “c” and eight time of “c” is equal to seven time of “d”. If the total profit share of Q after one year is ₹ 7440 more than the profit share of S, then, find how much less the profit share of P is than that of R?
1. ₹ 26,040
2. ₹ 24,050
3. ₹ 22,050
4. ₹ 24,060
5. None of these

Answer 1

Correct Answer - Option 1 : ₹ 26,040

According to question –

Eight time of “a” is equal to four time of “b”

⇒ 8a = 4b

⇒ a  :  b = 1  :  2

Four times of “b” is equal to five times of “c”

⇒ 4b = 5c

⇒ b  :  c = 5  :  4

Eight time of “c” is equal to seven time of “d”

⇒ 8c = 7d

⇒ c  :  d = 7  :  8

Now,

⇒ a  :  b = 1  :  2 = 35  :  70

⇒ b  :  c = 5  :  4 = 70  :  56

⇒ c  :  d = 7  :  8 = 56  :  64

∴ a  :  b  :  c  :  d = 35  :  70  :  56  :  64

Given, (70 – 64) units = 7440

⇒ 6 units = 7440

⇒ 1 unit = 1240

According to question –

⇒ Profit of R – Profit P = (56 – 35) units

⇒ 21 units = 21 × 1240

⇒ 21 units = ₹ 26,040

∴ the required value = ₹ 26,040