type 6 si with ratios Section-Wise Topic Notes With Detailed Explanation And Example Questions

Answer: (a)

Using Rule 1,

Let the sum of x be lent at the rate of 4% and (5000 - x) at the rate of 5%

${x × 4 × 2}/100 + {(5000 - x) × 5 × 2}/100$ = 440

8x + 50000 - 10x = 44000

2x = 50000 - 44000 = 6000

x = Rs.3000

Rs.(5000 - x) = Rs.(5000 - 3000) = Rs.2000

Now, Required ratio

= 3000 : 2000 = 3 : 2

Answer: (d)

Principal lent at 8% S.I. = Rs.x.

Principal lent at 10% S.I. = Rs.(4000 - x)

S.I. = $\text"Principal × Time × Rate"/100$

${x × 8}/100 + {(4000 - x) × 10}/100$ = 352

8x + 40000 - 10x = 35200

2x = 40000 - 35200 = 4800

x = $4800/2$ = Rs.2400

Answer: (c)

Required ratio = 5 : $2/5$ = 25 : 2

$\text"loan amount"/ \text"Interest amount" = 5/2$

Interest rate = $2/5$

[Since, ${P + I}/I = 5/2 ⇒ P/I + I = 5/2$

⇒ $P/I = 3/2, then I = 2/5$]

$ \text"loan amount"/ \text"Interest rate"$

= $5/{2/5}= 25/2$ or 25 : 2